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<p>An algorithm to calculate the sum of <a href="https://en.wikipedia.org/wiki/Fibonacci_number" target="_blank">Fibonacci Sequence</a>: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\).
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
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Include dependency graph for fibonacci_sum.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/numeric/random/rand.html">std::rand</a> <br /></td></tr>
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<tr class="memitem:d3/dc9/namespacefibonacci__sum"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/dc9/namespacefibonacci__sum.html">fibonacci_sum</a></td></tr>
<tr class="memdesc:d3/dc9/namespacefibonacci__sum"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for the sum of the Fibonacci Sequence: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\). <br /></td></tr>
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using&#160;</td><td class="memItemRight" valign="bottom"><b>math::fibonacci_sum::matrix</b> = <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; uint64_t &gt; &gt;</td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a9c83cca09a3e4ff2a25c816a9303448e"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/dc3/fibonacci__sum_8cpp.html#a9c83cca09a3e4ff2a25c816a9303448e">math::fibonacci_sum::multiply</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> &amp;T, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> &amp;A)</td></tr>
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<tr class="memitem:aadb40ac4c74a7efc0680b83eeee138aa"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a> (uint64_t n)</td></tr>
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<tr class="memitem:a493fbaa7a94e3b7ca573111237bb3742"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/dc3/fibonacci__sum_8cpp.html#a493fbaa7a94e3b7ca573111237bb3742">math::fibonacci_sum::fiboSum</a> (uint64_t n, uint64_t m)</td></tr>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/dc3/fibonacci__sum_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="../../de/dc3/fibonacci__sum_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../de/dc3/fibonacci__sum_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 >An algorithm to calculate the sum of <a href="https://en.wikipedia.org/wiki/Fibonacci_number" target="_blank">Fibonacci Sequence</a>: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\). </p>
<p >An algorithm to calculate the sum of Fibonacci Sequence: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\) where \(\mathrm{F}(i)\) denotes the i-th Fibonacci Number . Note that F(0) = 0 and F(1) = 1. The value of the sum is calculated using matrix exponentiation. Reference source: <a href="https://stackoverflow.com/questions/4357223/finding-the-sum-of-fibonacci-numbers">https://stackoverflow.com/questions/4357223/finding-the-sum-of-fibonacci-numbers</a> </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/SarthakSahu1009" target="_blank">Sarthak Sahu</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a493fbaa7a94e3b7ca573111237bb3742" name="a493fbaa7a94e3b7ca573111237bb3742"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a493fbaa7a94e3b7ca573111237bb3742">&#9670;&nbsp;</a></span>fiboSum()</h2>
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<td class="memname">uint64_t math::fibonacci_sum::fiboSum </td>
<td>(</td>
<td class="paramtype">uint64_t&#160;</td>
<td class="paramname"><em>n</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint64_t&#160;</td>
<td class="paramname"><em>m</em>&#160;</td>
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<td>)</td>
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<p >Function to compute sum of fibonacci sequence from n to m. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">n</td><td>start of sequence </td></tr>
<tr><td class="paramname">m</td><td>end of sequence </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>uint64_t the sum of sequence </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 90</span> {</div>
<div class="line"><span class="lineno"> 91</span> <span class="keywordflow">return</span> (<a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>(m + 2) - <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>(n + 1));</div>
<div class="line"><span class="lineno"> 92</span>}</div>
<div class="ttc" id="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition:</b> fibonacci_sum.cpp:76</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
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<td class="paramtype">void&#160;</td>
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<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 136</span> {</div>
<div class="line"><span class="lineno"> 137</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// execute the tests</span></div>
<div class="line"><span class="lineno"> 138</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 139</span>}</div>
<div class="ttc" id="afibonacci__sum_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdef"><b>Definition:</b> fibonacci_sum.cpp:101</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a9c83cca09a3e4ff2a25c816a9303448e">&#9670;&nbsp;</a></span>multiply()</h2>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> math::fibonacci_sum::multiply </td>
<td>(</td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> &amp;&#160;</td>
<td class="paramname"><em>T</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> &amp;&#160;</td>
<td class="paramname"><em>A</em>&#160;</td>
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<p >Function to multiply two matrices </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">T</td><td>matrix 1 </td></tr>
<tr><td class="paramname">A</td><td>martix 2 </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>resultant matrix </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 39</span> {</div>
<div class="line"><span class="lineno"> 40</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>(2, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint64_t&gt;</a>(2, 0));</div>
<div class="line"><span class="lineno"> 41</span> </div>
<div class="line"><span class="lineno"> 42</span> <span class="comment">// multiplying matrices</span></div>
<div class="line"><span class="lineno"> 43</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>[0][0] = T[0][0] * A[0][0] + T[0][1] * A[1][0];</div>
<div class="line"><span class="lineno"> 44</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>[0][1] = T[0][0] * A[0][1] + T[0][1] * A[1][1];</div>
<div class="line"><span class="lineno"> 45</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>[1][0] = T[1][0] * A[0][0] + T[1][1] * A[1][0];</div>
<div class="line"><span class="lineno"> 46</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>[1][1] = T[1][0] * A[0][1] + T[1][1] * A[1][1];</div>
<div class="line"><span class="lineno"> 47</span> </div>
<div class="line"><span class="lineno"> 48</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
<div class="line"><span class="lineno"> 49</span>}</div>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a7cf5feaf168b88e74544da59ed830311">&#9670;&nbsp;</a></span>power()</h2>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> math::fibonacci_sum::power </td>
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<p >Function to compute A^n where A is a matrix. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">T</td><td>matrix </td></tr>
<tr><td class="paramname">ex</td><td>power </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>resultant matrix </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 57</span> {</div>
<div class="line"><span class="lineno"> 58</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> A{{1, 1}, {1, 0}};</div>
<div class="line"><span class="lineno"> 59</span> <span class="keywordflow">if</span> (ex == 0 || ex == 1) {</div>
<div class="line"><span class="lineno"> 60</span> <span class="keywordflow">return</span> T;</div>
<div class="line"><span class="lineno"> 61</span> }</div>
<div class="line"><span class="lineno"> 62</span> </div>
<div class="line"><span class="lineno"> 63</span> T = <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#a7cf5feaf168b88e74544da59ed830311">power</a>(T, ex / 2);</div>
<div class="line"><span class="lineno"> 64</span> T = <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">multiply</a>(T, T);</div>
<div class="line"><span class="lineno"> 65</span> <span class="keywordflow">if</span> (ex &amp; 1) {</div>
<div class="line"><span class="lineno"> 66</span> T = <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">multiply</a>(T, A);</div>
<div class="line"><span class="lineno"> 67</span> }</div>
<div class="line"><span class="lineno"> 68</span> <span class="keywordflow">return</span> T;</div>
<div class="line"><span class="lineno"> 69</span>}</div>
<div class="ttc" id="afibonacci__sum_8cpp_html_a7cf5feaf168b88e74544da59ed830311"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#a7cf5feaf168b88e74544da59ed830311">math::fibonacci_sum::power</a></div><div class="ttdeci">math::fibonacci_sum::matrix power(math::fibonacci_sum::matrix T, uint64_t ex)</div><div class="ttdef"><b>Definition:</b> fibonacci_sum.cpp:57</div></div>
<div class="ttc" id="anamespaceciphers_1_1elliptic__curve__key__exchange_html_a17f3d667241b88115a95282cdd719cb2"><div class="ttname"><a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">ciphers::elliptic_curve_key_exchange::multiply</a></div><div class="ttdeci">Point multiply(const Point &amp;a, const uint256_t &amp;curve_a_coeff, uint256_t p, const uint256_t &amp;mod)</div><div class="ttdoc">multiply Point and integer</div><div class="ttdef"><b>Definition:</b> elliptic_curve_key_exchange.cpp:165</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aadb40ac4c74a7efc0680b83eeee138aa">&#9670;&nbsp;</a></span>result()</h2>
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<td class="memname">uint64_t math::fibonacci_sum::result </td>
<td>(</td>
<td class="paramtype">uint64_t&#160;</td>
<td class="paramname"><em>n</em></td><td>)</td>
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<p >Function to compute sum of fibonacci sequence from 0 to n. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">n</td><td>number </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>uint64_t ans, the sum of sequence </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 76</span> {</div>
<div class="line"><span class="lineno"> 77</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">math::fibonacci_sum::matrix</a> T{{1, 1}, {1, 0}};</div>
<div class="line"><span class="lineno"> 78</span> T = <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#a7cf5feaf168b88e74544da59ed830311">power</a>(T, n);</div>
<div class="line"><span class="lineno"> 79</span> uint64_t <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = T[0][1];</div>
<div class="line"><span class="lineno"> 80</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = (<a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> - 1);</div>
<div class="line"><span class="lineno"> 81</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>;</div>
<div class="line"><span class="lineno"> 82</span>}</div>
<div class="ttc" id="amatrix__exponentiation_8cpp_html_ad8389ed58fd0ec66df248014775ad1fa"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a></div><div class="ttdeci">ll ans(ll n)</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:91</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&nbsp;</a></span>test()</h2>
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<td class="memname">static void test </td>
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<p >Function for testing fiboSum 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"><span class="lineno"> 101</span> {</div>
<div class="line"><span class="lineno"> 102</span> uint64_t n = 0, m = 3;</div>
<div class="line"><span class="lineno"> 103</span> uint64_t test_1 = <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#a493fbaa7a94e3b7ca573111237bb3742">math::fibonacci_sum::fiboSum</a>(n, m);</div>
<div class="line"><span class="lineno"> 104</span> assert(test_1 == 4);</div>
<div class="line"><span class="lineno"> 105</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Passed Test 1!&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 106</span> </div>
<div class="line"><span class="lineno"> 107</span> n = 3;</div>
<div class="line"><span class="lineno"> 108</span> m = 5;</div>
<div class="line"><span class="lineno"> 109</span> uint64_t test_2 = <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#a493fbaa7a94e3b7ca573111237bb3742">math::fibonacci_sum::fiboSum</a>(n, m);</div>
<div class="line"><span class="lineno"> 110</span> assert(test_2 == 10);</div>
<div class="line"><span class="lineno"> 111</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Passed Test 2!&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 112</span> </div>
<div class="line"><span class="lineno"> 113</span> n = 5;</div>
<div class="line"><span class="lineno"> 114</span> m = 7;</div>
<div class="line"><span class="lineno"> 115</span> uint64_t test_3 = <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#a493fbaa7a94e3b7ca573111237bb3742">math::fibonacci_sum::fiboSum</a>(n, m);</div>
<div class="line"><span class="lineno"> 116</span> assert(test_3 == 26);</div>
<div class="line"><span class="lineno"> 117</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Passed Test 3!&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 118</span> </div>
<div class="line"><span class="lineno"> 119</span> n = 7;</div>
<div class="line"><span class="lineno"> 120</span> m = 10;</div>
<div class="line"><span class="lineno"> 121</span> uint64_t test_4 = <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#a493fbaa7a94e3b7ca573111237bb3742">math::fibonacci_sum::fiboSum</a>(n, m);</div>
<div class="line"><span class="lineno"> 122</span> assert(test_4 == 123);</div>
<div class="line"><span class="lineno"> 123</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Passed Test 4!&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 124</span> </div>
<div class="line"><span class="lineno"> 125</span> n = 9;</div>
<div class="line"><span class="lineno"> 126</span> m = 12;</div>
<div class="line"><span class="lineno"> 127</span> uint64_t test_5 = <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#a493fbaa7a94e3b7ca573111237bb3742">math::fibonacci_sum::fiboSum</a>(n, m);</div>
<div class="line"><span class="lineno"> 128</span> assert(test_5 == 322);</div>
<div class="line"><span class="lineno"> 129</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Passed Test 5!&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 130</span>}</div>
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
<div class="ttc" id="afibonacci__sum_8cpp_html_a493fbaa7a94e3b7ca573111237bb3742"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#a493fbaa7a94e3b7ca573111237bb3742">math::fibonacci_sum::fiboSum</a></div><div class="ttdeci">uint64_t fiboSum(uint64_t n, uint64_t m)</div><div class="ttdef"><b>Definition:</b> fibonacci_sum.cpp:90</div></div>
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