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<p>Compute powers of large numbers.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;iostream&gt;</code><br />
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Include dependency graph for power_for_huge_numbers.cpp:</div>
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Macros</h2></td></tr>
<tr class="memitem:a392fb874e547e582e9c66a08a1f23326"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/def/power__for__huge__numbers_8cpp.html#a392fb874e547e582e9c66a08a1f23326">MAX</a>&#160;&#160;&#160;100000</td></tr>
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Functions</h2></td></tr>
<tr class="memitem:aa141a7904f0c4668bac112d652a3acf9"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">multiply</a> (int x, int res[], int res_size)</td></tr>
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<tr class="memitem:ae249a2af508aa94266023ce8aa81426f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a> (int x, int n)</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="../../df/def/power__for__huge__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >Compute powers of large numbers. </p>
</div><h2 class="groupheader">Macro Definition Documentation</h2>
<a id="a392fb874e547e582e9c66a08a1f23326" name="a392fb874e547e582e9c66a08a1f23326"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a392fb874e547e582e9c66a08a1f23326">&#9670;&#160;</a></span>MAX</h2>
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<td class="memname">#define MAX&#160;&#160;&#160;100000</td>
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<p >Maximum number of digits in output \(x^n\) where \(1 &lt;= x,\; n &lt;= 10000\) and overflow may happen </p>
</div>
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<h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</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>
<div class="fragment"><div class="line"><span class="lineno"> 82</span> {</div>
<div class="line"><span class="lineno"> 83</span> <span class="keywordtype">int</span> exponent, base;</div>
<div class="line"><span class="lineno"> 84</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;Enter base &quot;</span>;</div>
<div class="line"><span class="lineno"> 85</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; base;</div>
<div class="line"><span class="lineno"> 86</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;Enter exponent &quot;</span>;</div>
<div class="line"><span class="lineno"> 87</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; exponent;</div>
<div class="line"><span class="lineno"> 88</span> <a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a>(base, exponent);</div>
<div class="line"><span class="lineno"> 89</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 90</span>}</div>
<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>
<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="apower__for__huge__numbers_8cpp_html_ae249a2af508aa94266023ce8aa81426f"><div class="ttname"><a href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a></div><div class="ttdeci">void power(int x, int n)</div><div class="ttdef"><b>Definition:</b> power_for_huge_numbers.cpp:56</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa141a7904f0c4668bac112d652a3acf9">&#9670;&#160;</a></span>multiply()</h2>
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<td class="memname">int multiply </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>res</em>[], </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>res_size</em>&#160;</td>
</tr>
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<td>)</td>
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<p >This function multiplies x with the number represented by res[]. res_size is size of res[] or number of digits in the number represented by res[]. This function uses simple school mathematics for multiplication. This function may value of res_size and returns the new value of res_size </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>multiplicand </td></tr>
<tr><td class="paramname">res</td><td>large number representation using array </td></tr>
<tr><td class="paramname">res_size</td><td>number of digits in <code>res</code> </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><span class="lineno"> 25</span> {</div>
<div class="line"><span class="lineno"> 26</span> <span class="comment">// Initialize carry</span></div>
<div class="line"><span class="lineno"> 27</span> <span class="keywordtype">int</span> carry = 0;</div>
<div class="line"><span class="lineno"> 28</span> </div>
<div class="line"><span class="lineno"> 29</span> <span class="comment">// One by one multiply n with</span></div>
<div class="line"><span class="lineno"> 30</span> <span class="comment">// individual digits of res[]</span></div>
<div class="line"><span class="lineno"> 31</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; res_size; i++) {</div>
<div class="line"><span class="lineno"> 32</span> <span class="keywordtype">int</span> prod = res[i] * x + carry;</div>
<div class="line"><span class="lineno"> 33</span> </div>
<div class="line"><span class="lineno"> 34</span> <span class="comment">// Store last digit of</span></div>
<div class="line"><span class="lineno"> 35</span> <span class="comment">// &#39;prod&#39; in res[]</span></div>
<div class="line"><span class="lineno"> 36</span> res[i] = prod % 10;</div>
<div class="line"><span class="lineno"> 37</span> </div>
<div class="line"><span class="lineno"> 38</span> <span class="comment">// Put rest in carry</span></div>
<div class="line"><span class="lineno"> 39</span> carry = prod / 10;</div>
<div class="line"><span class="lineno"> 40</span> }</div>
<div class="line"><span class="lineno"> 41</span> </div>
<div class="line"><span class="lineno"> 42</span> <span class="comment">// Put carry in res and</span></div>
<div class="line"><span class="lineno"> 43</span> <span class="comment">// increase result size</span></div>
<div class="line"><span class="lineno"> 44</span> <span class="keywordflow">while</span> (carry) {</div>
<div class="line"><span class="lineno"> 45</span> res[res_size] = carry % 10;</div>
<div class="line"><span class="lineno"> 46</span> carry = carry / 10;</div>
<div class="line"><span class="lineno"> 47</span> res_size++;</div>
<div class="line"><span class="lineno"> 48</span> }</div>
<div class="line"><span class="lineno"> 49</span> <span class="keywordflow">return</span> res_size;</div>
<div class="line"><span class="lineno"> 50</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae249a2af508aa94266023ce8aa81426f">&#9670;&#160;</a></span>power()</h2>
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<td class="memname">void power </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
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</div><div class="memdoc">
<p >This function finds power of a number x and print \(x^n\) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>base </td></tr>
<tr><td class="paramname">n</td><td>exponent </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><span class="lineno"> 56</span> {</div>
<div class="line"><span class="lineno"> 57</span> <span class="comment">// printing value &quot;1&quot; for power = 0</span></div>
<div class="line"><span class="lineno"> 58</span> <span class="keywordflow">if</span> (n == 0) {</div>
<div class="line"><span class="lineno"> 59</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;1&quot;</span>;</div>
<div class="line"><span class="lineno"> 60</span> <span class="keywordflow">return</span>;</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> <span class="keywordtype">int</span> res[<a class="code hl_define" href="../../df/def/power__for__huge__numbers_8cpp.html#a392fb874e547e582e9c66a08a1f23326">MAX</a>];</div>
<div class="line"><span class="lineno"> 64</span> <span class="keywordtype">int</span> res_size = 0;</div>
<div class="line"><span class="lineno"> 65</span> <span class="keywordtype">int</span> temp = x;</div>
<div class="line"><span class="lineno"> 66</span> </div>
<div class="line"><span class="lineno"> 67</span> <span class="comment">// Initialize result</span></div>
<div class="line"><span class="lineno"> 68</span> <span class="keywordflow">while</span> (temp != 0) {</div>
<div class="line"><span class="lineno"> 69</span> res[res_size++] = temp % 10;</div>
<div class="line"><span class="lineno"> 70</span> temp = temp / 10;</div>
<div class="line"><span class="lineno"> 71</span> }</div>
<div class="line"><span class="lineno"> 72</span> </div>
<div class="line"><span class="lineno"> 73</span> <span class="comment">// Multiply x n times</span></div>
<div class="line"><span class="lineno"> 74</span> <span class="comment">// (x^n = x*x*x....n times)</span></div>
<div class="line"><span class="lineno"> 75</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 2; i &lt;= n; i++) res_size = <a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">multiply</a>(x, res, res_size);</div>
<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/io/basic_ostream.html">std::cout</a> &lt;&lt; x &lt;&lt; <span class="stringliteral">&quot;^&quot;</span> &lt;&lt; n &lt;&lt; <span class="stringliteral">&quot; = &quot;</span>;</div>
<div class="line"><span class="lineno"> 78</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = res_size - 1; i &gt;= 0; i--) <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; res[i];</div>
<div class="line"><span class="lineno"> 79</span>}</div>
<div class="ttc" id="apower__for__huge__numbers_8cpp_html_a392fb874e547e582e9c66a08a1f23326"><div class="ttname"><a href="../../df/def/power__for__huge__numbers_8cpp.html#a392fb874e547e582e9c66a08a1f23326">MAX</a></div><div class="ttdeci">#define MAX</div><div class="ttdef"><b>Definition:</b> power_for_huge_numbers.cpp:10</div></div>
<div class="ttc" id="apower__for__huge__numbers_8cpp_html_aa141a7904f0c4668bac112d652a3acf9"><div class="ttname"><a href="../../df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">multiply</a></div><div class="ttdeci">int multiply(int x, int res[], int res_size)</div><div class="ttdef"><b>Definition:</b> power_for_huge_numbers.cpp:25</div></div>
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