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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="projectbrief">Set of algorithms implemented in C++.</div>
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@@ -150,17 +150,17 @@ 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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<div class="fragment"><div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> {</div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> <span class="keywordflow">if</span> (b == 0) {</div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <span class="keywordflow">return</span> 1;</div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> }</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keywordtype">int</span> res = <a class="code hl_function" href="../../de/dcf/binary__exponent_8cpp.html#aeb48dce0725e63d19147944f41843c73">binExpo</a>(a, b / 2);</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="keywordflow">if</span> (b % 2) {</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keywordflow">return</span> res * res * a;</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="keywordflow">return</span> res * res;</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> }</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span>}</div>
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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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<div class="line"><span class="lineno"> 31</span> }</div>
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<div class="line"><span class="lineno"> 32</span> <span class="keywordtype">int</span> res = <a class="code hl_function" href="../../de/dcf/binary__exponent_8cpp.html#aeb48dce0725e63d19147944f41843c73">binExpo</a>(a, b / 2);</div>
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<div class="line"><span class="lineno"> 33</span> <span class="keywordflow">if</span> (b % 2) {</div>
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<div class="line"><span class="lineno"> 34</span> <span class="keywordflow">return</span> res * res * a;</div>
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<div class="line"><span class="lineno"> 35</span> } <span class="keywordflow">else</span> {</div>
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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="../../de/dcf/binary__exponent_8cpp.html#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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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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@@ -197,17 +197,17 @@ 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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<div class="fragment"><div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> {</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="keywordtype">int</span> res = 1;</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordflow">while</span> (b > 0) {</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordflow">if</span> (b % 2) {</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> res = res * a;</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> }</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> a = a * a;</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> b /= 2;</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> }</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="keywordflow">return</span> res;</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span>}</div>
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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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<div class="line"><span class="lineno"> 45</span> <span class="keywordflow">if</span> (b % 2) {</div>
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<div class="line"><span class="lineno"> 46</span> res = res * a;</div>
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<div class="line"><span class="lineno"> 47</span> }</div>
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<div class="line"><span class="lineno"> 48</span> a = a * a;</div>
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<div class="line"><span class="lineno"> 49</span> b /= 2;</div>
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<div class="line"><span class="lineno"> 50</span> }</div>
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<div class="line"><span class="lineno"> 51</span> <span class="keywordflow">return</span> res;</div>
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<div class="line"><span class="lineno"> 52</span>}</div>
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</div><!-- fragment -->
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</div>
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@@ -232,23 +232,23 @@ Here is the call graph for this function:</div>
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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"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> {</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordtype">int</span> a, b;<span class="comment"></span></div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span><span class="comment"> /// Give two numbers a, b</span></div>
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<div class="line"><a id="l00058" name="l00058"></a><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"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordflow">if</span> (a == 0 && b == 0) {</div>
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<div class="line"><a id="l00060" name="l00060"></a><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"><a id="l00061" name="l00061"></a><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"><a id="l00062" name="l00062"></a><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"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="keywordtype">int</span> resRecurse = <a class="code hl_function" href="../../de/dcf/binary__exponent_8cpp.html#aeb48dce0725e63d19147944f41843c73">binExpo</a>(a, b);<span class="comment"></span></div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span><span class="comment"> /// int resIterate = binExpo_alt(a, b);</span></div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span><span class="comment"></span><span class="comment"></span> </div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span><span class="comment"> /// Result of a^b (where '^' denotes exponentiation)</span></div>
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<div class="line"><a id="l00068" name="l00068"></a><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"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span><span class="comment"> /// std::cout << resIterate << std::endl;</span></div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span><span class="comment"></span> }</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span>}</div>
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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="../../de/dcf/binary__exponent_8cpp.html#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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@@ -267,7 +267,7 @@ Here is the call graph for this function:</div>
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<ul>
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<li class="navelem"><a class="el" href="../../dir_296d53ceaeaa7e099814a6def439fe8a.html">math</a></li><li class="navelem"><a class="el" href="../../de/dcf/binary__exponent_8cpp.html">binary_exponent.cpp</a></li>
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