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<title>Algorithms_in_C++: math/binary_exponent.cpp File Reference</title>
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<div id="projectname">Algorithms_in_C++<span id="projectnumber"> 1.0.0</span>
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<div id="projectname">TheAlgorithms/C++<span id="projectnumber"> 1.0.0</span>
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</div>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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<div id="projectbrief">All the algorithms implemented in C++</div>
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@@ -118,7 +135,9 @@ Include dependency graph for binary_exponent.cpp:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../de/d36/binary__exponent_8cpp__incl.svg" width="186" height="111"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<p><a href="../../de/dcf/binary__exponent_8cpp_source.html">Go to the source code of this file.</a></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:aeb48dce0725e63d19147944f41843c73" id="r_aeb48dce0725e63d19147944f41843c73"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="#aeb48dce0725e63d19147944f41843c73">binExpo</a> (int a, int b)</td></tr>
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\end{eqnarray*}
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</p>
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<p> Hence to calculate 2^10 we only need to multiply \(2^8\) and \(2^2\) skipping \(2^1\) and \(2^4\). </p>
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<p class="definition">Definition in file <a class="el" href="../../de/dcf/binary__exponent_8cpp_source.html">binary_exponent.cpp</a>.</p>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="aeb48dce0725e63d19147944f41843c73" name="aeb48dce0725e63d19147944f41843c73"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#aeb48dce0725e63d19147944f41843c73">◆ </a></span>binExpo()</h2>
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@@ -162,6 +183,8 @@ Functions</h2></td></tr>
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</table>
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</div><div class="memdoc">
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<p>Recursive function to calculate exponent in \(O(\log(n))\) using binary exponent. </p>
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<p class="definition">Definition at line <a class="el" href="../../de/dcf/binary__exponent_8cpp_source.html#l00028">28</a> of file <a class="el" href="../../de/dcf/binary__exponent_8cpp_source.html">binary_exponent.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 28</span> {</div>
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<div class="line"><span class="lineno"> 29</span> <span class="keywordflow">if</span> (b == 0) {</div>
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<div class="line"><span class="lineno"> 30</span> <span class="keywordflow">return</span> 1;</div>
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@@ -173,13 +196,8 @@ Functions</h2></td></tr>
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<div class="line"><span class="lineno"> 36</span> <span class="keywordflow">return</span> res * res;</div>
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<div class="line"><span class="lineno"> 37</span> }</div>
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<div class="line"><span class="lineno"> 38</span>}</div>
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<div class="ttc" id="abinary__exponent_8cpp_html_aeb48dce0725e63d19147944f41843c73"><div class="ttname"><a href="#aeb48dce0725e63d19147944f41843c73">binExpo</a></div><div class="ttdeci">int binExpo(int a, int b)</div><div class="ttdef"><b>Definition</b> binary_exponent.cpp:28</div></div>
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Here is the call graph for this function:</div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../de/dcf/binary__exponent_8cpp_aeb48dce0725e63d19147944f41843c73_cgraph.svg" width="79" height="60"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<div class="ttc" id="abinary__exponent_8cpp_html_aeb48dce0725e63d19147944f41843c73"><div class="ttname"><a href="#aeb48dce0725e63d19147944f41843c73">binExpo</a></div><div class="ttdeci">int binExpo(int a, int b)</div><div class="ttdef"><b>Definition</b> <a href="../../de/dcf/binary__exponent_8cpp_source.html#l00028">binary_exponent.cpp:28</a></div></div>
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</div><!-- fragment -->
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<a id="a31dbf5f7ceb9c9eec831ef9f7782291f" name="a31dbf5f7ceb9c9eec831ef9f7782291f"></a>
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@@ -201,6 +219,8 @@ Here is the call graph for this function:</div>
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</table>
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</div><div class="memdoc">
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<p>Iterative function to calculate exponent in \(O(\log(n))\) using binary exponent. </p>
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<p class="definition">Definition at line <a class="el" href="../../de/dcf/binary__exponent_8cpp_source.html#l00042">42</a> of file <a class="el" href="../../de/dcf/binary__exponent_8cpp_source.html">binary_exponent.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 42</span> {</div>
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<div class="line"><span class="lineno"> 43</span> <span class="keywordtype">int</span> res = 1;</div>
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<div class="line"><span class="lineno"> 44</span> <span class="keywordflow">while</span> (b > 0) {</div>
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<p>Give two numbers a, b</p>
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<p>int resIterate = binExpo_alt(a, b);</p>
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<p>Result of a^b (where '^' denotes exponentiation)</p>
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<p><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << resIterate << <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</p>
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<div class="fragment"><div class="line"><span class="lineno"> 55</span> {</div>
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<div class="line"><span class="lineno"> 56</span> <span class="keywordtype">int</span> a, b;<span class="comment"></span></div>
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<div class="line"><span class="lineno"> 57</span><span class="comment"> /// Give two numbers a, b</span></div>
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<div class="line"><span class="lineno"> 58</span><span class="comment"></span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> a >> b;</div>
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<div class="line"><span class="lineno"> 59</span> <span class="keywordflow">if</span> (a == 0 && b == 0) {</div>
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<div class="line"><span class="lineno"> 60</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Math error"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 61</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (b < 0) {</div>
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<div class="line"><span class="lineno"> 62</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Exponent must be positive !!"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 63</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><span class="lineno"> 64</span> <span class="keywordtype">int</span> resRecurse = <a class="code hl_function" href="#aeb48dce0725e63d19147944f41843c73">binExpo</a>(a, b);<span class="comment"></span></div>
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<div class="line"><span class="lineno"> 65</span><span class="comment"> /// int resIterate = binExpo_alt(a, b);</span></div>
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<div class="line"><span class="lineno"> 66</span><span class="comment"></span><span class="comment"></span> </div>
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<div class="line"><span class="lineno"> 67</span><span class="comment"> /// Result of a^b (where '^' denotes exponentiation)</span></div>
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<div class="line"><span class="lineno"> 68</span><span class="comment"></span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << resRecurse << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;<span class="comment"></span></div>
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<div class="line"><span class="lineno"> 69</span><span class="comment"> /// std::cout << resIterate << std::endl;</span></div>
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<div class="line"><span class="lineno"> 70</span><span class="comment"></span> }</div>
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<div class="line"><span class="lineno"> 71</span>}</div>
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<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></div></div>
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<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
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<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>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../de/dcf/binary__exponent_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="180" height="110"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<p>std::cout << resIterate << std::endl;</p>
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<p class="definition">Definition at line <a class="el" href="../../de/dcf/binary__exponent_8cpp_source.html#l00055">55</a> of file <a class="el" href="../../de/dcf/binary__exponent_8cpp_source.html">binary_exponent.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 55</span> {</div>
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<div class="line"><span class="lineno"> 56</span> <span class="keywordtype">int</span> a, b;</div>
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<div class="line"><span class="lineno"> 58</span> std::cin >> a >> b;</div>
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<div class="line"><span class="lineno"> 59</span> <span class="keywordflow">if</span> (a == 0 && b == 0) {</div>
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<div class="line"><span class="lineno"> 60</span> std::cout << <span class="stringliteral">"Math error"</span> << std::endl;</div>
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<div class="line"><span class="lineno"> 61</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (b < 0) {</div>
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<div class="line"><span class="lineno"> 62</span> std::cout << <span class="stringliteral">"Exponent must be positive !!"</span> << std::endl;</div>
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<div class="line"><span class="lineno"> 63</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><span class="lineno"> 64</span> <span class="keywordtype">int</span> resRecurse = <a class="code hl_function" href="#aeb48dce0725e63d19147944f41843c73">binExpo</a>(a, b);</div>
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<div class="line"><span class="lineno"> 66</span> </div>
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<div class="line"><span class="lineno"> 68</span> std::cout << resRecurse << std::endl;</div>
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<div class="line"><span class="lineno"> 70</span> }</div>
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<div class="line"><span class="lineno"> 71</span>}</div>
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</div><!-- fragment -->
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</div>
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</div><!-- contents -->
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