mirror of
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Documentation for 8a6f2052e2
This commit is contained in:
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@@ -321,7 +321,7 @@ Here is the call graph for this function:</div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> r = c;</div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> }</div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> </div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <span class="keywordtype">int</span> k = 1;</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a> = 1;</div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> </div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <span class="keywordflow">while</span> (k <= r) {</div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="keywordflow">if</span> (k == 1) {</div>
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@@ -336,7 +336,7 @@ Here is the call graph for this function:</div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> all_projection[i] = 0; <span class="comment">/// First initialised to zero</span></div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> }</div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> </div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <span class="keywordtype">int</span> l = 1;</div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ad53616fb4fa6880ae876bcba53365c51">l</a> = 1;</div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="keywordflow">while</span> (l < k) {</div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<double, 10></a></div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> temp{}; <span class="comment">/// to store previous projected array</span></div>
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@@ -344,7 +344,7 @@ Here is the call graph for this function:</div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span><span class="comment"> /// previous array will change</span></div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span><span class="comment"></span> factor = <a class="code hl_function" href="../../d5/d33/gram__schmidt_8cpp.html#a46e459aff5eafffb5ad9ceb129b4d274">projection</a>(A[k - 1], B[l - 1], c);</div>
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < c; ++i) {</div>
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<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> temp[i] = B[l - 1][i] * factor; <span class="comment">/// projected array created</span></div>
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<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> temp[i] = B[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ad53616fb4fa6880ae876bcba53365c51">l</a> - 1][i] * factor; <span class="comment">/// projected array created</span></div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> }</div>
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < c; ++j) {</div>
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> all_projection[j] =</div>
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@@ -352,21 +352,23 @@ Here is the call graph for this function:</div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> temp[j]; <span class="comment">/// we take the projection with all the</span><span class="comment"></span></div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span><span class="comment"> /// previous vector and add them.</span></div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span><span class="comment"></span> }</div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> l++;</div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <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="l00163" name="l00163"></a><span class="lineno"> 163</span> }</div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < c; ++i) {</div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> B[k - 1][i] =</div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> A[k - 1][i] -</div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> B[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a> - 1][i] =</div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> A[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a> - 1][i] -</div>
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<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> all_projection[i]; <span class="comment">/// subtract total projection vector</span><span class="comment"></span></div>
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<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span><span class="comment"> /// from the input vector</span></div>
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span><span class="comment"></span> }</div>
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<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> }</div>
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<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> k++;</div>
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<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <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="l00172" name="l00172"></a><span class="lineno"> 172</span> }</div>
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<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> display(r, c, B); <span class="comment">// for displaying orthogoanlised vectors</span></div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span>}</div>
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<div class="ttc" id="aarray_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a></div></div>
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<div class="ttc" id="agram__schmidt_8cpp_html_a46e459aff5eafffb5ad9ceb129b4d274"><div class="ttname"><a href="../../d5/d33/gram__schmidt_8cpp.html#a46e459aff5eafffb5ad9ceb129b4d274">linear_algebra::gram_schmidt::projection</a></div><div class="ttdeci">double projection(const std::array< double, 10 > &x, const std::array< double, 10 > &y, const int &c)</div><div class="ttdef"><b>Definition:</b> gram_schmidt.cpp:79</div></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_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 --><div class="dynheader">
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<div class="dyncontent">
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@@ -415,12 +415,13 @@ template<typename T > </div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> arr[k] = R[j];</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> j++;</div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> }</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> k++;</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <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="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> </div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keyword">delete</span>[] L;</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keyword">delete</span>[] R;</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</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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@@ -355,6 +355,7 @@ Numerical Methods</h1>
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<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/numerical_methods/golden_search_extrema.cpp" target="_blank">Golden Search Extrema</a></li>
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<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/numerical_methods/lu_decompose.cpp" target="_blank">Lu Decompose</a></li>
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<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/numerical_methods/lu_decomposition.h" target="_blank">Lu Decomposition</a></li>
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<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/numerical_methods/midpoint_integral_method.cpp" target="_blank">Midpoint Integral Method</a></li>
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<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/numerical_methods/newton_raphson_method.cpp" target="_blank">Newton Raphson Method</a></li>
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<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/numerical_methods/ode_forward_euler.cpp" target="_blank">Ode Forward Euler</a></li>
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<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/numerical_methods/ode_midpoint_euler.cpp" target="_blank">Ode Midpoint Euler</a></li>
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@@ -348,19 +348,19 @@ Here is the call graph for this function:</div>
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<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> </div>
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<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> <span class="comment">// Main "hashing" loop</span></div>
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<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> <span class="keywordflow">for</span> (uint8_t i = 0; i < 64; i++) {</div>
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<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> uint32_t F = 0, g = 0;</div>
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<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> uint32_t F = 0, <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae682ee71af44b1e9e884849cc6a6b040">g</a> = 0;</div>
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<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="keywordflow">if</span> (i < 16) {</div>
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<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> F = (B & C) | ((~B) & D);</div>
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<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> g = i;</div>
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<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae682ee71af44b1e9e884849cc6a6b040">g</a> = i;</div>
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<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (i < 32) {</div>
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<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> F = (D & B) | ((~D) & C);</div>
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<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> g = (5 * i + 1) % 16;</div>
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<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae682ee71af44b1e9e884849cc6a6b040">g</a> = (5 * i + 1) % 16;</div>
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<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (i < 48) {</div>
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<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> F = B ^ C ^ D;</div>
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<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> g = (3 * i + 5) % 16;</div>
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<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae682ee71af44b1e9e884849cc6a6b040">g</a> = (3 * i + 5) % 16;</div>
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<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> F = C ^ (B | (~D));</div>
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<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> g = (7 * i) % 16;</div>
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<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae682ee71af44b1e9e884849cc6a6b040">g</a> = (7 * i) % 16;</div>
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<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> }</div>
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<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> </div>
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<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> <span class="comment">// Update the accumulators</span></div>
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@@ -397,6 +397,7 @@ Here is the call graph for this function:</div>
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<div class="ttc" id="amd5_8cpp_html_a694712c9665051ba52b686387b87a689"><div class="ttname"><a href="../../d5/d96/md5_8cpp.html#a694712c9665051ba52b686387b87a689">hashing::md5::toLittleEndian32</a></div><div class="ttdeci">uint32_t toLittleEndian32(uint32_t n)</div><div class="ttdoc">Sets 32-bit integer to little-endian if needed.</div><div class="ttdef"><b>Definition:</b> md5.cpp:89</div></div>
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<div class="ttc" id="amd5_8cpp_html_a6be48c1e6e742f9bd329f501d61dcaef"><div class="ttname"><a href="../../d5/d96/md5_8cpp.html#a6be48c1e6e742f9bd329f501d61dcaef">hashing::md5::toLittleEndian64</a></div><div class="ttdeci">uint64_t toLittleEndian64(uint64_t n)</div><div class="ttdoc">Sets 64-bit integer to little-endian if needed.</div><div class="ttdef"><b>Definition:</b> md5.cpp:102</div></div>
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<div class="ttc" id="amd5_8cpp_html_add2bf982d5dd64a45d13cba52c2b371d"><div class="ttname"><a href="../../d5/d96/md5_8cpp.html#add2bf982d5dd64a45d13cba52c2b371d">hashing::md5::leftRotate32bits</a></div><div class="ttdeci">uint32_t leftRotate32bits(uint32_t n, std::size_t rotate)</div><div class="ttdoc">Rotates the bits of a 32-bit unsigned integer.</div><div class="ttdef"><b>Definition:</b> md5.cpp:66</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="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
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</div><!-- fragment --><div class="dynheader">
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@@ -140,7 +140,7 @@ Functions</h2></td></tr>
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</div><div class="memdoc">
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<p >main function </p>
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<div class="fragment"><div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> {</div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> <span class="keywordtype">int</span> l, st = 2, x, r, z, n, sp;</div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ad53616fb4fa6880ae876bcba53365c51">l</a>, st = 2, x, r, z, n, sp;</div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</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 Index "</span>;</div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> x;</div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> z = x;</div>
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@@ -150,7 +150,7 @@ Functions</h2></td></tr>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> <span class="keywordflow">for</span> (sp = 1; sp <= z; sp++) {</div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</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">" "</span>;</div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> }</div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="keywordflow">for</span> (l = 1; l <= st; l++) {</div>
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||||
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="keywordflow">for</span> (l = 1; <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ad53616fb4fa6880ae876bcba53365c51">l</a> <= st; <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="l00029" name="l00029"></a><span class="lineno"> 29</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">"*"</span>;</div>
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||||
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> }</div>
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||||
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <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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||||
@@ -161,6 +161,7 @@ Functions</h2></td></tr>
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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>
|
||||
<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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||||
<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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Here is the call graph for this function:</div>
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