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<title>TheAlgorithms/C++: numerical_methods/gram_schmidt.cpp File Reference</title>
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@@ -262,13 +262,12 @@ Algorithm</h3>
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<p class="definition">Definition at line <a class="el" href="../../d5/d33/gram__schmidt_8cpp_source.html#l00059">59</a> of file <a class="el" href="../../d5/d33/gram__schmidt_8cpp_source.html">gram_schmidt.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 60</span> {</div>
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<div class="line"><span class="lineno"> 61</span> <span class="keywordtype">double</span> <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a> = 0;</div>
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<div class="line"><span class="lineno"> 61</span> <span class="keywordtype">double</span> sum = 0;</div>
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<div class="line"><span class="lineno"> 62</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < c; ++i) {</div>
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<div class="line"><span class="lineno"> 63</span> <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a> += x[i] * y[i];</div>
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<div class="line"><span class="lineno"> 63</span> sum += x[i] * y[i];</div>
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<div class="line"><span class="lineno"> 64</span> }</div>
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<div class="line"><span class="lineno"> 65</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a>;</div>
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<div class="line"><span class="lineno"> 65</span> <span class="keywordflow">return</span> sum;</div>
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<div class="line"><span class="lineno"> 66</span>}</div>
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<div class="ttc" id="anamespacemachine__learning_html_a6f1c98c016ad34ff3d9f39372161bd35"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">machine_learning::sum</a></div><div class="ttdeci">T sum(const std::vector< std::valarray< T > > &A)</div><div class="ttdef"><b>Definition</b> <a href="../../d8/d95/vector__ops_8hpp_source.html#l00232">vector_ops.hpp:232</a></div></div>
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@@ -329,7 +328,7 @@ Algorithm</h3>
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<div class="line"><span class="lineno"> 128</span> r = c;</div>
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<div class="line"><span class="lineno"> 129</span> }</div>
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<div class="line"><span class="lineno"> 130</span> </div>
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<div class="line"><span class="lineno"> 131</span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> = 1;</div>
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<div class="line"><span class="lineno"> 131</span> <span class="keywordtype">int</span> k = 1;</div>
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<div class="line"><span class="lineno"> 132</span> </div>
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<div class="line"><span class="lineno"> 133</span> <span class="keywordflow">while</span> (k <= r) {</div>
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<div class="line"><span class="lineno"> 134</span> <span class="keywordflow">if</span> (k == 1) {</div>
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@@ -368,11 +367,12 @@ Algorithm</h3>
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<div class="line"><span class="lineno"> 170</span> }</div>
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<div class="line"><span class="lineno"> 171</span> <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>++;</div>
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<div class="line"><span class="lineno"> 172</span> }</div>
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<div class="line"><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"><span class="lineno"> 173</span> <a class="code hl_function" href="#ae6b496dce691e04f7f95ba0f0d33a289">display</a>(r, c, B); <span class="comment">// for displaying orthogoanlised vectors</span></div>
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<div class="line"><span class="lineno"> 174</span>}</div>
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<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a1b74d828b33760094906797042b89442"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">numerical_methods::simpson_method::k</a></div><div class="ttdeci">double k(double x)</div><div class="ttdoc">Another test function.</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d18/composite__simpson__rule_8cpp_source.html#l00117">composite_simpson_rule.cpp:117</a></div></div>
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<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a6d8df83a6f26ce24a75d3b358b7f5b8a"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a6d8df83a6f26ce24a75d3b358b7f5b8a">numerical_methods::simpson_method::l</a></div><div class="ttdeci">double l(double x)</div><div class="ttdoc">Another test function.</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d18/composite__simpson__rule_8cpp_source.html#l00119">composite_simpson_rule.cpp:119</a></div></div>
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<div class="ttc" id="agram__schmidt_8cpp_html_a8eeaafdde8b56f459aadc6013cf078bc"><div class="ttname"><a href="#a8eeaafdde8b56f459aadc6013cf078bc">numerical_methods::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> <a href="../../d5/d33/gram__schmidt_8cpp_source.html#l00079">gram_schmidt.cpp:79</a></div></div>
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<div class="ttc" id="agram__schmidt_8cpp_html_ae6b496dce691e04f7f95ba0f0d33a289"><div class="ttname"><a href="#ae6b496dce691e04f7f95ba0f0d33a289">numerical_methods::gram_schmidt::display</a></div><div class="ttdeci">void display(const int &r, const int &c, const std::array< std::array< double, 10 >, 20 > &B)</div><div class="ttdef"><b>Definition</b> <a href="../../d5/d33/gram__schmidt_8cpp_source.html#l00101">gram_schmidt.cpp:101</a></div></div>
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@@ -430,7 +430,7 @@ Algorithm</h3>
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<div class="line"><span class="lineno"> 275</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < r - 1; ++i) {</div>
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<div class="line"><span class="lineno"> 276</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = i + 1; j < r; ++j) {</div>
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<div class="line"><span class="lineno"> 277</span> dot = fabs(</div>
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<div class="line"><span class="lineno"> 278</span> numerical_methods::gram_schmidt::dot_product(B[i], B[j], c));</div>
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<div class="line"><span class="lineno"> 278</span> <a class="code hl_function" href="#ac4a4504924ecc9f12a2ebd80788ec01d">numerical_methods::gram_schmidt::dot_product</a>(B[i], B[j], c));</div>
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<div class="line"><span class="lineno"> 279</span> <span class="keywordflow">if</span> (dot > 0.1) </div>
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<div class="line"><span class="lineno"> 281</span> {</div>
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<div class="line"><span class="lineno"> 282</span> flag = 0;</div>
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@@ -444,6 +444,7 @@ Algorithm</h3>
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<div class="line"><span class="lineno"> 290</span>}</div>
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<div class="ttc" id="agram__schmidt_8cpp_html_a0837468e1a653ed056e2cce3c914afa5"><div class="ttname"><a href="#a0837468e1a653ed056e2cce3c914afa5">numerical_methods::gram_schmidt::gram_schmidt</a></div><div class="ttdeci">void gram_schmidt(int r, const int &c, const std::array< std::array< double, 10 >, 20 > &A, std::array< std::array< double, 10 >, 20 > B)</div><div class="ttdef"><b>Definition</b> <a href="../../d5/d33/gram__schmidt_8cpp_source.html#l00121">gram_schmidt.cpp:121</a></div></div>
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<div class="ttc" id="agram__schmidt_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdef"><b>Definition</b> <a href="../../d5/d33/gram__schmidt_8cpp_source.html#l00181">gram_schmidt.cpp:181</a></div></div>
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<div class="ttc" id="agram__schmidt_8cpp_html_ac4a4504924ecc9f12a2ebd80788ec01d"><div class="ttname"><a href="#ac4a4504924ecc9f12a2ebd80788ec01d">numerical_methods::gram_schmidt::dot_product</a></div><div class="ttdeci">double dot_product(const std::array< double, 10 > &x, const std::array< double, 10 > &y, const int &c)</div><div class="ttdef"><b>Definition</b> <a href="../../d5/d33/gram__schmidt_8cpp_source.html#l00059">gram_schmidt.cpp:59</a></div></div>
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@@ -495,7 +496,6 @@ Algorithm</h3>
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<div class="line"><span class="lineno"> 87</span> anorm; </div>
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<div class="line"><span class="lineno"> 89</span> <span class="keywordflow">return</span> factor;</div>
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<div class="line"><span class="lineno"> 90</span>}</div>
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<div class="ttc" id="agram__schmidt_8cpp_html_ac4a4504924ecc9f12a2ebd80788ec01d"><div class="ttname"><a href="#ac4a4504924ecc9f12a2ebd80788ec01d">numerical_methods::gram_schmidt::dot_product</a></div><div class="ttdeci">double dot_product(const std::array< double, 10 > &x, const std::array< double, 10 > &y, const int &c)</div><div class="ttdef"><b>Definition</b> <a href="../../d5/d33/gram__schmidt_8cpp_source.html#l00059">gram_schmidt.cpp:59</a></div></div>
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<td class="mlabels-right">
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<span class="mlabels"><span class="mlabel static">static</span></span> </td>
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@@ -534,7 +534,7 @@ Algorithm</h3>
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<div class="line"><span class="lineno"> 188</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < 2; ++i) {</div>
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<div class="line"><span class="lineno"> 189</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = i + 1; j < 3; ++j) {</div>
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<div class="line"><span class="lineno"> 190</span> dot1 = fabs(</div>
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<div class="line"><span class="lineno"> 191</span> numerical_methods::gram_schmidt::dot_product(b1[i], b1[j], 4));</div>
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<div class="line"><span class="lineno"> 191</span> <a class="code hl_function" href="#ac4a4504924ecc9f12a2ebd80788ec01d">numerical_methods::gram_schmidt::dot_product</a>(b1[i], b1[j], 4));</div>
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<div class="line"><span class="lineno"> 192</span> <span class="keywordflow">if</span> (dot1 > 0.1) {</div>
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<div class="line"><span class="lineno"> 193</span> flag = 0;</div>
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<div class="line"><span class="lineno"> 194</span> <span class="keywordflow">break</span>;</div>
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@@ -554,7 +554,7 @@ Algorithm</h3>
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<div class="line"><span class="lineno"> 208</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < 1; ++i) {</div>
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<div class="line"><span class="lineno"> 209</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = i + 1; j < 2; ++j) {</div>
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<div class="line"><span class="lineno"> 210</span> dot2 = fabs(</div>
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<div class="line"><span class="lineno"> 211</span> numerical_methods::gram_schmidt::dot_product(b2[i], b2[j], 2));</div>
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<div class="line"><span class="lineno"> 211</span> <a class="code hl_function" href="#ac4a4504924ecc9f12a2ebd80788ec01d">numerical_methods::gram_schmidt::dot_product</a>(b2[i], b2[j], 2));</div>
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<div class="line"><span class="lineno"> 212</span> <span class="keywordflow">if</span> (dot2 > 0.1) {</div>
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<div class="line"><span class="lineno"> 213</span> flag = 0;</div>
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<div class="line"><span class="lineno"> 214</span> <span class="keywordflow">break</span>;</div>
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@@ -574,7 +574,7 @@ Algorithm</h3>
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<div class="line"><span class="lineno"> 228</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < 1; ++i) {</div>
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<div class="line"><span class="lineno"> 229</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = i + 1; j < 2; ++j) {</div>
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<div class="line"><span class="lineno"> 230</span> dot3 = fabs(</div>
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<div class="line"><span class="lineno"> 231</span> numerical_methods::gram_schmidt::dot_product(b3[i], b3[j], 3));</div>
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<div class="line"><span class="lineno"> 231</span> <a class="code hl_function" href="#ac4a4504924ecc9f12a2ebd80788ec01d">numerical_methods::gram_schmidt::dot_product</a>(b3[i], b3[j], 3));</div>
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<div class="line"><span class="lineno"> 232</span> <span class="keywordflow">if</span> (dot3 > 0.1) {</div>
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<div class="line"><span class="lineno"> 233</span> flag = 0;</div>
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<div class="line"><span class="lineno"> 234</span> <span class="keywordflow">break</span>;</div>
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@@ -595,7 +595,7 @@ Algorithm</h3>
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<li class="navelem"><a class="el" href="../../dir_9c6faab82c22511b50177aa2e38e2780.html">numerical_methods</a></li><li class="navelem"><a class="el" href="../../d5/d33/gram__schmidt_8cpp.html">gram_schmidt.cpp</a></li>
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