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<div class="headertitle"><div class="title">fibonacci_sum.cpp File Reference</div></div>
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Namespaces</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html">math</a></td></tr>
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<tr class="memitem:math" id="r_math"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html">math</a></td></tr>
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<tr class="memdesc:dd/d47/namespacemath"><td class="mdescLeft"> </td><td class="mdescRight">for assert <br /></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/dc9/namespacefibonacci__sum.html">fibonacci_sum</a></td></tr>
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<tr class="memitem:fibonacci_5Fsum" id="r_fibonacci_5Fsum"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/dc9/namespacefibonacci__sum.html">fibonacci_sum</a></td></tr>
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<tr class="memdesc:d3/dc9/namespacefibonacci__sum"><td class="mdescLeft"> </td><td class="mdescRight">Functions for the sum of the Fibonacci Sequence: \(\mathrm{F}(n) +
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\mathrm{F}(n+1) + .. + \mathrm{F}(m)\). <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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Typedefs</h2></td></tr>
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<tr class="memitem:a658ced3b6267216e49bb1bd4f9a76a54" id="r_a658ced3b6267216e49bb1bd4f9a76a54"><td class="memItemLeft" align="right" valign="top">using </td><td class="memItemRight" valign="bottom"><a class="el" href="#a658ced3b6267216e49bb1bd4f9a76a54">math::fibonacci_sum::matrix</a> = std::vector<std::vector<uint64_t> ></td></tr>
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Functions</h2></td></tr>
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<tr class="memitem:a9c83cca09a3e4ff2a25c816a9303448e" id="r_a9c83cca09a3e4ff2a25c816a9303448e"><td class="memItemLeft" align="right" valign="top">math::fibonacci_sum::matrix </td><td class="memItemRight" valign="bottom"><a class="el" href="#a9c83cca09a3e4ff2a25c816a9303448e">math::fibonacci_sum::multiply</a> (const math::fibonacci_sum::matrix &T, const math::fibonacci_sum::matrix &A)</td></tr>
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<tr class="memitem:a7cf5feaf168b88e74544da59ed830311" id="r_a7cf5feaf168b88e74544da59ed830311"><td class="memItemLeft" align="right" valign="top">math::fibonacci_sum::matrix </td><td class="memItemRight" valign="bottom"><a class="el" href="#a7cf5feaf168b88e74544da59ed830311">math::fibonacci_sum::power</a> (math::fibonacci_sum::matrix T, uint64_t ex)</td></tr>
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<tr class="memitem:aadb40ac4c74a7efc0680b83eeee138aa" id="r_aadb40ac4c74a7efc0680b83eeee138aa"><td class="memItemLeft" align="right" valign="top">uint64_t </td><td class="memItemRight" valign="bottom"><a class="el" href="#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a> (uint64_t n)</td></tr>
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<tr class="memitem:a493fbaa7a94e3b7ca573111237bb3742" id="r_a493fbaa7a94e3b7ca573111237bb3742"><td class="memItemLeft" align="right" valign="top">uint64_t </td><td class="memItemRight" valign="bottom"><a class="el" href="#a493fbaa7a94e3b7ca573111237bb3742">math::fibonacci_sum::fiboSum</a> (uint64_t n, uint64_t m)</td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4" id="r_ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft"> </td><td class="mdescRight">Main function. <br /></td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
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<div class="textblock"><p>An algorithm to calculate the sum of <a href="https://en.wikipedia.org/wiki/Fibonacci_number" target="_blank">Fibonacci Sequence</a>: \(\mathrm{F}(n) +
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\mathrm{F}(n+1) + .. + \mathrm{F}(m)\). </p>
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<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>
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<p class="definition">Definition in file <a class="el" href="../../de/dc3/fibonacci__sum_8cpp_source.html">fibonacci_sum.cpp</a>.</p>
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</div><h2 class="groupheader">Typedef Documentation</h2>
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<a id="a658ced3b6267216e49bb1bd4f9a76a54" name="a658ced3b6267216e49bb1bd4f9a76a54"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a658ced3b6267216e49bb1bd4f9a76a54">◆ </a></span>matrix</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a493fbaa7a94e3b7ca573111237bb3742">◆ </a></span>fiboSum()</h2>
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<td class="memname">math::fibonacci_sum::matrix math::fibonacci_sum::multiply </td>
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<td class="memname"><a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">math::fibonacci_sum::matrix</a> math::fibonacci_sum::multiply </td>
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<td class="memname">math::fibonacci_sum::matrix math::fibonacci_sum::power </td>
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<td class="memname"><a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">math::fibonacci_sum::matrix</a> math::fibonacci_sum::power </td>
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<td>(</td>
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<td class="memname">static void test </td>
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<td class="memname">void test </td>
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<td>(</td>
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<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>
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<p>Function for testing fiboSum function. test cases and assert statement. </p><dl class="section return"><dt>Returns</dt><dd><span class="tt">void</span> </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../de/dc3/fibonacci__sum_8cpp_source.html#l00102">102</a> of file <a class="el" href="../../de/dc3/fibonacci__sum_8cpp_source.html">fibonacci_sum.cpp</a>.</p>
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