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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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</td>
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</tr>
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</tbody>
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@@ -119,7 +136,9 @@ Include dependency graph for power_for_huge_numbers.cpp:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d7/d8e/power__for__huge__numbers_8cpp__incl.svg" width="158" height="126"><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="../../df/def/power__for__huge__numbers_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="define-members" name="define-members"></a>
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Macros</h2></td></tr>
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<tr class="memitem:a392fb874e547e582e9c66a08a1f23326" id="r_a392fb874e547e582e9c66a08a1f23326"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="#a392fb874e547e582e9c66a08a1f23326">MAX</a>   100000</td></tr>
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@@ -136,6 +155,8 @@ Functions</h2></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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||||
<div class="textblock"><p>Compute powers of large numbers. </p>
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||||
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||||
<p class="definition">Definition in file <a class="el" href="../../df/def/power__for__huge__numbers_8cpp_source.html">power_for_huge_numbers.cpp</a>.</p>
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||||
</div><h2 class="groupheader">Macro Definition Documentation</h2>
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||||
<a id="a392fb874e547e582e9c66a08a1f23326" name="a392fb874e547e582e9c66a08a1f23326"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a392fb874e547e582e9c66a08a1f23326">◆ </a></span>MAX</h2>
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||||
@@ -150,6 +171,8 @@ Functions</h2></td></tr>
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||||
</div><div class="memdoc">
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||||
<p>Maximum number of digits in output \(x^n\) where \(1 <= x,\; n <= 10000\) and overflow may happen </p>
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||||
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||||
<p class="definition">Definition at line <a class="el" href="../../df/def/power__for__huge__numbers_8cpp_source.html#l00010">10</a> of file <a class="el" href="../../df/def/power__for__huge__numbers_8cpp_source.html">power_for_huge_numbers.cpp</a>.</p>
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||||
</div>
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||||
</div>
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||||
<h2 class="groupheader">Function Documentation</h2>
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||||
@@ -168,24 +191,19 @@ Functions</h2></td></tr>
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||||
</table>
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||||
</div><div class="memdoc">
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||||
<p>Main function </p>
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||||
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||||
<p class="definition">Definition at line <a class="el" href="../../df/def/power__for__huge__numbers_8cpp_source.html#l00082">82</a> of file <a class="el" href="../../df/def/power__for__huge__numbers_8cpp_source.html">power_for_huge_numbers.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 82</span> {</div>
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<div class="line"><span class="lineno"> 83</span> <span class="keywordtype">int</span> exponent, base;</div>
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<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> << <span class="stringliteral">"Enter base "</span>;</div>
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<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> >> base;</div>
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<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> << <span class="stringliteral">"Enter exponent "</span>;</div>
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<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> >> exponent;</div>
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<div class="line"><span class="lineno"> 84</span> std::cout << <span class="stringliteral">"Enter base "</span>;</div>
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<div class="line"><span class="lineno"> 85</span> std::cin >> base;</div>
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<div class="line"><span class="lineno"> 86</span> std::cout << <span class="stringliteral">"Enter exponent "</span>;</div>
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<div class="line"><span class="lineno"> 87</span> std::cin >> exponent;</div>
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||||
<div class="line"><span class="lineno"> 88</span> <a class="code hl_function" href="#ae249a2af508aa94266023ce8aa81426f">power</a>(base, exponent);</div>
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||||
<div class="line"><span class="lineno"> 89</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 90</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="apower__for__huge__numbers_8cpp_html_ae249a2af508aa94266023ce8aa81426f"><div class="ttname"><a href="#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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||||
</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="../../df/def/power__for__huge__numbers_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="279" height="36"><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="apower__for__huge__numbers_8cpp_html_ae249a2af508aa94266023ce8aa81426f"><div class="ttname"><a href="#ae249a2af508aa94266023ce8aa81426f">power</a></div><div class="ttdeci">void power(int x, int n)</div><div class="ttdef"><b>Definition</b> <a href="../../df/def/power__for__huge__numbers_8cpp_source.html#l00056">power_for_huge_numbers.cpp:56</a></div></div>
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</div><!-- fragment -->
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<a id="aa141a7904f0c4668bac112d652a3acf9" name="aa141a7904f0c4668bac112d652a3acf9"></a>
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</dd>
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</dl>
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<p class="definition">Definition at line <a class="el" href="../../df/def/power__for__huge__numbers_8cpp_source.html#l00025">25</a> of file <a class="el" href="../../df/def/power__for__huge__numbers_8cpp_source.html">power_for_huge_numbers.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 25</span> {</div>
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||||
<div class="line"><span class="lineno"> 26</span> <span class="comment">// Initialize carry</span></div>
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<div class="line"><span class="lineno"> 27</span> <span class="keywordtype">int</span> carry = 0;</div>
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<p class="definition">Definition at line <a class="el" href="../../df/def/power__for__huge__numbers_8cpp_source.html#l00056">56</a> of file <a class="el" href="../../df/def/power__for__huge__numbers_8cpp_source.html">power_for_huge_numbers.cpp</a>.</p>
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||||
<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 "1" for power = 0</span></div>
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<div class="line"><span class="lineno"> 58</span> <span class="keywordflow">if</span> (n == 0) {</div>
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||||
<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> << <span class="stringliteral">"1"</span>;</div>
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||||
<div class="line"><span class="lineno"> 59</span> std::cout << <span class="stringliteral">"1"</span>;</div>
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<div class="line"><span class="lineno"> 60</span> <span class="keywordflow">return</span>;</div>
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<div class="line"><span class="lineno"> 61</span> }</div>
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<div class="line"><span class="lineno"> 62</span> </div>
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<div class="line"><span class="lineno"> 74</span> <span class="comment">// (x^n = x*x*x....n times)</span></div>
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<div class="line"><span class="lineno"> 75</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 2; i <= n; i++) res_size = <a class="code hl_function" href="#aa141a7904f0c4668bac112d652a3acf9">multiply</a>(x, res, res_size);</div>
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<div class="line"><span class="lineno"> 76</span> </div>
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<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> << x << <span class="stringliteral">"^"</span> << n << <span class="stringliteral">" = "</span>;</div>
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<div class="line"><span class="lineno"> 78</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = res_size - 1; i >= 0; i--) <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << res[i];</div>
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<div class="line"><span class="lineno"> 77</span> std::cout << x << <span class="stringliteral">"^"</span> << n << <span class="stringliteral">" = "</span>;</div>
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<div class="line"><span class="lineno"> 78</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = res_size - 1; i >= 0; i--) std::cout << res[i];</div>
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<div class="line"><span class="lineno"> 79</span>}</div>
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<div class="ttc" id="apower__for__huge__numbers_8cpp_html_a392fb874e547e582e9c66a08a1f23326"><div class="ttname"><a href="#a392fb874e547e582e9c66a08a1f23326">MAX</a></div><div class="ttdeci">#define MAX</div><div class="ttdef"><b>Definition</b> power_for_huge_numbers.cpp:10</div></div>
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<div class="ttc" id="apower__for__huge__numbers_8cpp_html_aa141a7904f0c4668bac112d652a3acf9"><div class="ttname"><a href="#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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<a href="../../df/def/power__for__huge__numbers_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
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|
||||
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"><a class="line" href="../../df/def/power__for__huge__numbers_8cpp.html#a392fb874e547e582e9c66a08a1f23326"> 10</a></span><span class="preprocessor">#define MAX 100000</span></div>
|
||||
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span> </div>
|
||||
<div class="foldopen" id="foldopen00025" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"><a class="line" href="../../df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9"> 25</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">multiply</a>(<span class="keywordtype">int</span> x, <span class="keywordtype">int</span> res[], <span class="keywordtype">int</span> res_size) {</div>
|
||||
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <span class="comment">// Initialize carry</span></div>
|
||||
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <span class="keywordtype">int</span> carry = 0;</div>
|
||||
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> </div>
|
||||
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> <span class="comment">// One by one multiply n with</span></div>
|
||||
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <span class="comment">// individual digits of res[]</span></div>
|
||||
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < res_size; i++) {</div>
|
||||
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keywordtype">int</span> prod = res[i] * x + carry;</div>
|
||||
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> </div>
|
||||
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="comment">// Store last digit of</span></div>
|
||||
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="comment">// 'prod' in res[]</span></div>
|
||||
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> res[i] = prod % 10;</div>
|
||||
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> </div>
|
||||
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="comment">// Put rest in carry</span></div>
|
||||
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> carry = prod / 10;</div>
|
||||
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> }</div>
|
||||
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> </div>
|
||||
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="comment">// Put carry in res and</span></div>
|
||||
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="comment">// increase result size</span></div>
|
||||
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordflow">while</span> (carry) {</div>
|
||||
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> res[res_size] = carry % 10;</div>
|
||||
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> carry = carry / 10;</div>
|
||||
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> res_size++;</div>
|
||||
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> }</div>
|
||||
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">return</span> res_size;</div>
|
||||
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span>}</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> </div>
|
||||
<div class="foldopen" id="foldopen00056" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"><a class="line" href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f"> 56</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a>(<span class="keywordtype">int</span> x, <span class="keywordtype">int</span> n) {</div>
|
||||
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="comment">// printing value "1" for power = 0</span></div>
|
||||
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keywordflow">if</span> (n == 0) {</div>
|
||||
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> std::cout << <span class="stringliteral">"1"</span>;</div>
|
||||
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keywordflow">return</span>;</div>
|
||||
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> }</div>
|
||||
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> </div>
|
||||
<div class="line"><a id="l00063" name="l00063"></a><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"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="keywordtype">int</span> res_size = 0;</div>
|
||||
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keywordtype">int</span> temp = x;</div>
|
||||
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> </div>
|
||||
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="comment">// Initialize result</span></div>
|
||||
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="keywordflow">while</span> (temp != 0) {</div>
|
||||
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> res[res_size++] = temp % 10;</div>
|
||||
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> temp = temp / 10;</div>
|
||||
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> }</div>
|
||||
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> </div>
|
||||
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="comment">// Multiply x n times</span></div>
|
||||
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="comment">// (x^n = x*x*x....n times)</span></div>
|
||||
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 2; i <= 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"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> </div>
|
||||
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> std::cout << x << <span class="stringliteral">"^"</span> << n << <span class="stringliteral">" = "</span>;</div>
|
||||
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = res_size - 1; i >= 0; i--) std::cout << res[i];</div>
|
||||
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span>}</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> </div>
|
||||
<div class="foldopen" id="foldopen00082" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"><a class="line" href="../../df/def/power__for__huge__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 82</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
|
||||
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordtype">int</span> exponent, base;</div>
|
||||
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> std::cout << <span class="stringliteral">"Enter base "</span>;</div>
|
||||
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> std::cin >> base;</div>
|
||||
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> std::cout << <span class="stringliteral">"Enter exponent "</span>;</div>
|
||||
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> std::cin >> exponent;</div>
|
||||
<div class="line"><a id="l00088" name="l00088"></a><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"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span>}</div>
|
||||
</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> <a href="#l00010">power_for_huge_numbers.cpp:10</a></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> <a href="#l00025">power_for_huge_numbers.cpp:25</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> <a href="#l00056">power_for_huge_numbers.cpp:56</a></div></div>
|
||||
<div class="ttc" id="apower__for__huge__numbers_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../df/def/power__for__huge__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition</b> <a href="#l00082">power_for_huge_numbers.cpp:82</a></div></div>
|
||||
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