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@@ -131,42 +131,42 @@ Functions</h2></td></tr>
</div><div class="memdoc">
<p>Main function </p>
<div class="fragment"><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160; {</div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160; <span class="keywordtype">int</span> mat_size, i, j, step;</div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160; <span class="keywordtype">int</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>, i, j, step;</div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160; </div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Matrix size: &quot;</span>;</div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; mat_size;</div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>;</div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160; </div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160; <span class="comment">// create a 2D matrix by dynamic memory allocation</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160; <span class="keywordtype">double</span> **mat = <span class="keyword">new</span> <span class="keywordtype">double</span> *[mat_size + 1], **x = <span class="keyword">new</span> <span class="keywordtype">double</span> *[mat_size];</div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt;= mat_size; i++) {</div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160; mat[i] = <span class="keyword">new</span> <span class="keywordtype">double</span>[mat_size + 1];</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160; <span class="keywordflow">if</span> (i &lt; mat_size)</div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160; x[i] = <span class="keyword">new</span> <span class="keywordtype">double</span>[mat_size + 1];</div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160; <span class="keywordtype">double</span> **mat = <span class="keyword">new</span> <span class="keywordtype">double</span> *[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a> + 1], **x = <span class="keyword">new</span> <span class="keywordtype">double</span> *[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>];</div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt;= <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; i++) {</div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160; mat[i] = <span class="keyword">new</span> <span class="keywordtype">double</span>[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a> + 1];</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160; <span class="keywordflow">if</span> (i &lt; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>)</div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160; x[i] = <span class="keyword">new</span> <span class="keywordtype">double</span>[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a> + 1];</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160; }</div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160; </div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160; <span class="comment">// get the matrix elements from user</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a> &lt;&lt; <span class="stringliteral">&quot;Enter value of the matrix: &quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; mat_size; i++) {</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; <span class="keywordflow">for</span> (j = 0; j &lt;= mat_size; j++) {</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; i++) {</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; <span class="keywordflow">for</span> (j = 0; j &lt;= <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; j++) {</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt;</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; mat[i][j]; <span class="comment">// Enter (mat_size*mat_size) value of the matrix.</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; }</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; }</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; </div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; <span class="comment">// perform Gaussian elimination</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; <span class="keywordflow">for</span> (step = 0; step &lt; mat_size - 1; step++) {</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <span class="keywordflow">for</span> (i = step; i &lt; mat_size - 1; i++) {</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; <span class="keywordtype">double</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a> = (mat[i + 1][step] / mat[step][step]);</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; <span class="keywordflow">for</span> (step = 0; step &lt; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a> - 1; step++) {</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <span class="keywordflow">for</span> (i = step; i &lt; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a> - 1; i++) {</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; <span class="keywordtype">double</span> a = (mat[i + 1][step] / mat[step][step]);</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; </div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="keywordflow">for</span> (j = step; j &lt;= mat_size; j++)</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; mat[i + 1][j] = mat[i + 1][j] - (<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a> * mat[step][j]);</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="keywordflow">for</span> (j = step; j &lt;= <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; j++)</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; mat[i + 1][j] = mat[i + 1][j] - (a * mat[step][j]);</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; }</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; }</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; </div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; &lt;&lt; <span class="stringliteral">&quot;Matrix using Gaussian Elimination method: &quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; mat_size; i++) {</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; <span class="keywordflow">for</span> (j = 0; j &lt;= mat_size; j++) {</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; i++) {</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; <span class="keywordflow">for</span> (j = 0; j &lt;= <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; j++) {</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; x[i][j] = mat[i][j];</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; mat[i][j] &lt;&lt; <span class="stringliteral">&quot; &quot;</span>;</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; }</div>
@@ -174,23 +174,23 @@ Functions</h2></td></tr>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; }</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; &lt;&lt; <span class="stringliteral">&quot;Value of the Gaussian Elimination method: &quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; <span class="keywordflow">for</span> (i = mat_size - 1; i &gt;= 0; i--) {</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; <span class="keywordflow">for</span> (i = <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a> - 1; i &gt;= 0; i--) {</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; <span class="keywordtype">double</span> sum = 0;</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="keywordflow">for</span> (j = mat_size - 1; j &gt; i; j--) {</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="keywordflow">for</span> (j = <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a> - 1; j &gt; i; j--) {</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; x[i][j] = x[j][j] * x[i][j];</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; sum = x[i][j] + sum;</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; }</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <span class="keywordflow">if</span> (x[i][i] == 0)</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; x[i][i] = 0;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="keywordflow">else</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; x[i][i] = (x[i][mat_size] - sum) / (x[i][i]);</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; x[i][i] = (x[i][<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>] - sum) / (x[i][i]);</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; </div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;x&quot;</span> &lt;&lt; i &lt;&lt; <span class="stringliteral">&quot;= &quot;</span> &lt;&lt; x[i][i] &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; }</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; </div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt;= mat_size; i++) {</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt;= <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>; i++) {</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="keyword">delete</span>[] mat[i];</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="keywordflow">if</span> (i &lt; mat_size)</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="keywordflow">if</span> (i &lt; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>)</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <span class="keyword">delete</span>[] x[i];</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; }</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; <span class="keyword">delete</span>[] mat;</div>
@@ -209,15 +209,15 @@ Here is the call graph for this function:</div>
</div>
</div><!-- contents -->
</div><!-- doc-content -->
<div class="ttc" id="amatrix__exponentiation_8cpp_html_a9977ad12548c4a49dee9dc3f0685aa54"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a></div><div class="ttdeci">ll mat_size</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:45</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="amatrix__exponentiation_8cpp_html_a9ecd98ce0064e2f7f97bb6a92f58ee72"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a></div><div class="ttdeci">vector&lt; ll &gt; a</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:53</div></div>
<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>
<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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