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Documentation for 8a6f2052e2
This commit is contained in:
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@@ -175,7 +175,7 @@ Here is the call graph for this function:</div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> <span class="keywordflow">if</span> (a > 0 && a < 1) {</div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> <span class="keywordflow">return</span> 1 / <a class="code hl_function" href="../../da/d24/sqrt__double_8cpp.html#ae662282ad0740d2063ac404ca3bd74fc">Sqrt</a>(1 / a);</div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> }</div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> <span class="keywordtype">double</span> l = 0, r = a;</div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> <span class="keywordtype">double</span> <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ad53616fb4fa6880ae876bcba53365c51">l</a> = 0, r = a;</div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> <span class="comment">/* Epsilon is the precision.</span></div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="comment"> A great precision is</span></div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="comment"> between 1e-7 and 1e-12.</span></div>
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@@ -183,18 +183,19 @@ Here is the call graph for this function:</div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="comment"> */</span></div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <span class="keywordtype">double</span> epsilon = 1e-12;</div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <span class="keywordflow">while</span> (l <= r) {</div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="keywordtype">double</span> mid = (l + r) / 2;</div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="keywordtype">double</span> mid = (<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ad53616fb4fa6880ae876bcba53365c51">l</a> + r) / 2;</div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> <span class="keywordflow">if</span> (mid * mid > a) {</div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> r = mid;</div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keywordflow">if</span> (a - mid * mid < epsilon) {</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="keywordflow">return</span> mid;</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> }</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> l = mid;</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ad53616fb4fa6880ae876bcba53365c51">l</a> = mid;</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> }</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> <span class="keywordflow">return</span> -1;</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span>}</div>
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<div class="ttc" id="amidpoint__integral__method_8cpp_html_ad53616fb4fa6880ae876bcba53365c51"><div class="ttname"><a href="../../df/d11/midpoint__integral__method_8cpp.html#ad53616fb4fa6880ae876bcba53365c51">numerical_methods::midpoint_rule::l</a></div><div class="ttdeci">double l(double x)</div><div class="ttdoc">A function l(x) that will be used to test the method.</div><div class="ttdef"><b>Definition:</b> midpoint_integral_method.cpp:109</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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@@ -171,16 +171,18 @@ size_t </td><td class="memItemRight" valign="bottom"><b>n</b> = 0</td></tr>
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<p >< represents minimum value over the range [g, r - pow(2,g) + 1]</p>
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<p >< represents minimum value over the whole range [l,r]</p>
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<div class="fragment"><div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> {</div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> int64_t g = <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a6cf72f93b1551f0d943c585b4f173be3">LOG</a>[r - l + 1]; <span class="comment">///< smallest power of 2 covering [l,r]</span></div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> int64_t x = <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad36b9a20fed47b068e407008c04e9f81">ST</a>[g][l]; <span class="comment">///< represents minimum value over the range</span><span class="comment"></span></div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> int64_t <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae682ee71af44b1e9e884849cc6a6b040">g</a> = <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a6cf72f93b1551f0d943c585b4f173be3">LOG</a>[r - <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ad53616fb4fa6880ae876bcba53365c51">l</a> + 1]; <span class="comment">///< smallest power of 2 covering [l,r]</span></div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> int64_t x = <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad36b9a20fed47b068e407008c04e9f81">ST</a>[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae682ee71af44b1e9e884849cc6a6b040">g</a>][<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ad53616fb4fa6880ae876bcba53365c51">l</a>]; <span class="comment">///< represents minimum value over the range</span><span class="comment"></span></div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span><span class="comment"> ///< [g,l]</span></div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span><span class="comment"></span> int64_t y =</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad36b9a20fed47b068e407008c04e9f81">ST</a>[g][r - (1 << g) + 1]; <span class="comment">///< represents minimum value over the</span><span class="comment"></span></div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad36b9a20fed47b068e407008c04e9f81">ST</a>[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae682ee71af44b1e9e884849cc6a6b040">g</a>][r - (1 << <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae682ee71af44b1e9e884849cc6a6b040">g</a>) + 1]; <span class="comment">///< represents minimum value over the</span><span class="comment"></span></div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span><span class="comment"> ///< range [g, r - pow(2,g) + 1]</span></div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span><span class="comment"></span> </div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keywordflow">return</span> (<a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ab78620742305a35ff2f8d61179f47d3e">A</a>[x] <= <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ab78620742305a35ff2f8d61179f47d3e">A</a>[y] ? x : y); <span class="comment">///< represents minimum value over</span><span class="comment"></span></div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span><span class="comment"> ///< the whole range [l,r]</span></div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span><span class="comment"></span> }</div>
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<div class="ttc" id="amidpoint__integral__method_8cpp_html_ad53616fb4fa6880ae876bcba53365c51"><div class="ttname"><a href="../../df/d11/midpoint__integral__method_8cpp.html#ad53616fb4fa6880ae876bcba53365c51">numerical_methods::midpoint_rule::l</a></div><div class="ttdeci">double l(double x)</div><div class="ttdoc">A function l(x) that will be used to test the method.</div><div class="ttdef"><b>Definition:</b> midpoint_integral_method.cpp:109</div></div>
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<div class="ttc" id="amidpoint__integral__method_8cpp_html_ae682ee71af44b1e9e884849cc6a6b040"><div class="ttname"><a href="../../df/d11/midpoint__integral__method_8cpp.html#ae682ee71af44b1e9e884849cc6a6b040">numerical_methods::midpoint_rule::g</a></div><div class="ttdeci">double g(double x)</div><div class="ttdoc">A function g(x) that will be used to test the method.</div><div class="ttdef"><b>Definition:</b> midpoint_integral_method.cpp:97</div></div>
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<div class="ttc" id="astructdata__structures_1_1sparse__table_1_1_sparse__table_html_a6cf72f93b1551f0d943c585b4f173be3"><div class="ttname"><a href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a6cf72f93b1551f0d943c585b4f173be3">data_structures::sparse_table::Sparse_table::LOG</a></div><div class="ttdeci">std::array< int64_t, N > LOG</div><div class="ttdoc">where floor(log2(i)) are precomputed.</div><div class="ttdef"><b>Definition:</b> sparse_table.cpp:59</div></div>
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<div class="ttc" id="astructdata__structures_1_1sparse__table_1_1_sparse__table_html_ab78620742305a35ff2f8d61179f47d3e"><div class="ttname"><a href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ab78620742305a35ff2f8d61179f47d3e">data_structures::sparse_table::Sparse_table::A</a></div><div class="ttdeci">std::array< int64_t, N > A</div><div class="ttdoc">input array to perform RMQ.</div><div class="ttdef"><b>Definition:</b> sparse_table.cpp:56</div></div>
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<div class="ttc" id="astructdata__structures_1_1sparse__table_1_1_sparse__table_html_ad36b9a20fed47b068e407008c04e9f81"><div class="ttname"><a href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad36b9a20fed47b068e407008c04e9f81">data_structures::sparse_table::Sparse_table::ST</a></div><div class="ttdeci">std::array< std::array< int64_t, N >, M > ST</div><div class="ttdoc">the sparse table storing min() values for given interval.</div><div class="ttdef"><b>Definition:</b> sparse_table.cpp:58</div></div>
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@@ -147,12 +147,13 @@ Functions</h2></td></tr>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> (number % 3 == 0 && number != 3))</div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> </div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 1; 36 * k * k - 12 * k < number; ++k) {</div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 1; 36 * <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a> * <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a> - 12 * <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a> < number; ++<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>) {</div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> <span class="keywordflow">if</span> ((number % (6 * k + 1) == 0) || (number % (6 * k - 1) == 0))</div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> }</div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span>}</div>
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<div class="ttc" id="amidpoint__integral__method_8cpp_html_ae9f66040f8e0ba73c1c741261c22a52a"><div class="ttname"><a href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">numerical_methods::midpoint_rule::k</a></div><div class="ttdeci">double k(double x)</div><div class="ttdoc">A function k(x) that will be used to test the method.</div><div class="ttdef"><b>Definition:</b> midpoint_integral_method.cpp:103</div></div>
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</div><!-- fragment -->
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</div>
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</div>
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@@ -201,7 +201,7 @@ Here is the call graph for this function:</div>
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</div><div class="memdoc">
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<p >Main function: Allows the user add and delete values from the list. Also allows user to search for and display values in the list. </p><dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
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<div class="fragment"><div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> {</div>
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<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <a class="code hl_class" href="../../d1/def/classdata__structures_1_1linked__list_1_1list.html">data_structures::linked_list::list</a> l;</div>
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<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <a class="code hl_class" href="../../d1/def/classdata__structures_1_1linked__list_1_1list.html">data_structures::linked_list::list</a> <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ad53616fb4fa6880ae876bcba53365c51">l</a>;</div>
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<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <span class="keywordtype">int</span> choice = 0;</div>
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<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <span class="keywordtype">int</span> x = 0;</div>
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<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> s;</div>
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<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> </div>
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<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> <span class="keywordflow">if</span> (data_structures::linked_list::isDigit(s)) {</div>
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<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> x = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/stol.html">std::stoi</a>(s);</div>
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<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> l.<a class="code hl_function" href="../../d1/def/classdata__structures_1_1linked__list_1_1list.html#ad585670a392c7e842c992d088093dff5">push_back</a>(x);</div>
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<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ad53616fb4fa6880ae876bcba53365c51">l</a>.push_back(x);</div>
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<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</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">"Wrong Input!\n"</span>;</div>
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<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> }</div>
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@@ -230,7 +230,7 @@ Here is the call graph for this function:</div>
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<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> s;</div>
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<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> <span class="keywordflow">if</span> (data_structures::linked_list::isDigit(s)) {</div>
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<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> x = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/stol.html">std::stoi</a>(s);</div>
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<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> l.<a class="code hl_function" href="../../d1/def/classdata__structures_1_1linked__list_1_1list.html#a1fb1792ab867dc26639eef368a56989e">erase</a>(x);</div>
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<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ad53616fb4fa6880ae876bcba53365c51">l</a>.erase(x);</div>
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<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</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">"Wrong Input!\n"</span>;</div>
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<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> }</div>
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<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> <span class="keywordflow">if</span> (data_structures::linked_list::isDigit(s)) {</div>
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<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> x = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/stol.html">std::stoi</a>(s);</div>
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<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/memory/shared_ptr.html">std::shared_ptr<data_structures::linked_list::link></a> found =</div>
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Before Width: | Height: | Size: 8.6 KiB After Width: | Height: | Size: 2.3 KiB |
@@ -178,9 +178,9 @@ Functions</h2></td></tr>
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<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="keywordflow">for</span>(<span class="keywordtype">int</span> j=0;j<2;j++)</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> {</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordflow">for</span>(<span class="keywordtype">int</span> k=0;k<2;k++)</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordflow">for</span>(<span class="keywordtype">int</span> k=0;<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a><2;<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>++)</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> {</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> res[i][j]=(res[i][j]%mod+((Identity[i][<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>]%mod*transition[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>][j]%mod))%mod)%mod;</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> }</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> }</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="l00063" name="l00063"></a><span class="lineno"> 63</span> {</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j=0;j<2;j++)</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> {</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordflow">for</span>(<span class="keywordtype">int</span> k=0;<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a><2;<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>++)</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> {</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> res1[i][j]=(res1[i][j]%mod+((transition[i][<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>]%mod*transition[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>][j]%mod))%mod)%mod;</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> }</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> }</div>
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