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Documentation for c26eea874d
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realstealthninja
@@ -4,7 +4,7 @@
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<title>TheAlgorithms/C++: numerical_methods/gram_schmidt.cpp Source File</title>
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@@ -60,7 +60,7 @@ window.MathJax = {
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</table>
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/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&dn=expat.txt MIT */
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var searchBox = new SearchBox("searchBox", "../../search/",'.html');
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@@ -124,14 +124,15 @@ $(function(){initNavTree('d5/d33/gram__schmidt_8cpp_source.html','../../'); init
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<div class="headertitle"><div class="title">gram_schmidt.cpp</div></div>
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</div><!--header-->
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<div class="contents">
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<a href="../../d5/d33/gram__schmidt_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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<a href="../../d5/d33/gram__schmidt_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="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><span class="preprocessor">#include <array></span> </div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="preprocessor">#include <cassert></span> </div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="preprocessor">#include <cmath></span> </div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="preprocessor">#include <iostream></span> </div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> </div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="preprocessor">#include "math.h"</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="l00037" name="l00037"></a><span class="lineno"> 37</span></div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d1/de0/namespacenumerical__methods.html">numerical_methods</a> {</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d4/d0f/namespacegram__schmidt.html">gram_schmidt</a> {</div>
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<div class="foldopen" id="foldopen00059" data-start="{" data-end="}">
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@@ -144,7 +145,7 @@ $(function(){initNavTree('d5/d33/gram__schmidt_8cpp_source.html','../../'); init
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keywordflow">return</span> sum;</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span>}</div>
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</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="l00067" name="l00067"></a><span class="lineno"> 67</span></div>
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<div class="foldopen" id="foldopen00079" data-start="{" data-end="}">
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"><a class="line" href="../../d5/d33/gram__schmidt_8cpp.html#a8eeaafdde8b56f459aadc6013cf078bc"> 79</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="../../d5/d33/gram__schmidt_8cpp.html#a8eeaafdde8b56f459aadc6013cf078bc">projection</a>(<span class="keyword">const</span> std::array<double, 10>& x,</div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keyword">const</span> std::array<double, 10>& y, <span class="keyword">const</span> <span class="keywordtype">int</span>& c) {</div>
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@@ -158,9 +159,9 @@ $(function(){initNavTree('d5/d33/gram__schmidt_8cpp_source.html','../../'); init
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keywordflow">return</span> factor;</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span>}</div>
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</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> </div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span></div>
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<div class="foldopen" id="foldopen00101" data-start="{" data-end="}">
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"><a class="line" href="../../d5/d33/gram__schmidt_8cpp.html#ae6b496dce691e04f7f95ba0f0d33a289"> 101</a></span><span class="keywordtype">void</span> display(<span class="keyword">const</span> <span class="keywordtype">int</span>& r, <span class="keyword">const</span> <span class="keywordtype">int</span>& c,</div>
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||||
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"><a class="line" href="../../d5/d33/gram__schmidt_8cpp.html#ae6b496dce691e04f7f95ba0f0d33a289"> 101</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d5/d33/gram__schmidt_8cpp.html#ae6b496dce691e04f7f95ba0f0d33a289">display</a>(<span class="keyword">const</span> <span class="keywordtype">int</span>& r, <span class="keyword">const</span> <span class="keywordtype">int</span>& c,</div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="keyword">const</span> std::array<std::array<double, 10>, 20>& B) {</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < r; ++i) {</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> std::cout << <span class="stringliteral">"Vector "</span> << i + 1 << <span class="stringliteral">": "</span>;</div>
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@@ -171,7 +172,7 @@ $(function(){initNavTree('d5/d33/gram__schmidt_8cpp_source.html','../../'); init
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<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>}</div>
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</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> </div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span></div>
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<div class="foldopen" id="foldopen00121" data-start="{" data-end="}">
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"><a class="line" href="../../d5/d33/gram__schmidt_8cpp.html#a0837468e1a653ed056e2cce3c914afa5"> 121</a></span><span class="keywordtype">void</span> <a class="code hl_namespace" href="../../d4/d0f/namespacegram__schmidt.html">gram_schmidt</a>(<span class="keywordtype">int</span> r, <span class="keyword">const</span> <span class="keywordtype">int</span>& c,</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keyword">const</span> std::array<std::array<double, 10>, 20>& A,</div>
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@@ -222,7 +223,7 @@ $(function(){initNavTree('d5/d33/gram__schmidt_8cpp_source.html','../../'); init
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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="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="l00173" name="l00173"></a><span class="lineno"> 173</span> <a class="code hl_function" href="../../d5/d33/gram__schmidt_8cpp.html#ae6b496dce691e04f7f95ba0f0d33a289">display</a>(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>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span>} <span class="comment">// namespace gram_schmidt</span></div>
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@@ -233,12 +234,12 @@ $(function(){initNavTree('d5/d33/gram__schmidt_8cpp_source.html','../../'); init
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<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> {{1, 0, 1, 0}, {1, 1, 1, 1}, {0, 1, 2, 1}}};</div>
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<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> std::array<std::array<double, 10>, 20> b1 = {{0}};</div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <span class="keywordtype">double</span> dot1 = 0;</div>
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<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> numerical_methods::gram_schmidt::gram_schmidt(3, 4, a1, b1);</div>
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<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <a class="code hl_function" href="../../d5/d33/gram__schmidt_8cpp.html#a0837468e1a653ed056e2cce3c914afa5">numerical_methods::gram_schmidt::gram_schmidt</a>(3, 4, a1, b1);</div>
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<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <span class="keywordtype">int</span> flag = 1;</div>
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<div class="line"><a id="l00188" name="l00188"></a><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"><a id="l00189" name="l00189"></a><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"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> dot1 = fabs(</div>
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<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> numerical_methods::gram_schmidt::dot_product(b1[i], b1[j], 4));</div>
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||||
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <a class="code hl_function" href="../../d5/d33/gram__schmidt_8cpp.html#ac4a4504924ecc9f12a2ebd80788ec01d">numerical_methods::gram_schmidt::dot_product</a>(b1[i], b1[j], 4));</div>
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<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <span class="keywordflow">if</span> (dot1 > 0.1) {</div>
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<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> flag = 0;</div>
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<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <span class="keywordflow">break</span>;</div>
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@@ -253,12 +254,12 @@ $(function(){initNavTree('d5/d33/gram__schmidt_8cpp_source.html','../../'); init
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<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> std::array<std::array<double, 10>, 20> a2 = {{{3, 1}, {2, 2}}};</div>
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<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> std::array<std::array<double, 10>, 20> b2 = {{0}};</div>
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<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="keywordtype">double</span> dot2 = 0;</div>
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<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> numerical_methods::gram_schmidt::gram_schmidt(2, 2, a2, b2);</div>
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<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <a class="code hl_function" href="../../d5/d33/gram__schmidt_8cpp.html#a0837468e1a653ed056e2cce3c914afa5">numerical_methods::gram_schmidt::gram_schmidt</a>(2, 2, a2, b2);</div>
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<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> flag = 1;</div>
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<div class="line"><a id="l00208" name="l00208"></a><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"><a id="l00209" name="l00209"></a><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"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> dot2 = fabs(</div>
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<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> numerical_methods::gram_schmidt::dot_product(b2[i], b2[j], 2));</div>
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<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <a class="code hl_function" href="../../d5/d33/gram__schmidt_8cpp.html#ac4a4504924ecc9f12a2ebd80788ec01d">numerical_methods::gram_schmidt::dot_product</a>(b2[i], b2[j], 2));</div>
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<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <span class="keywordflow">if</span> (dot2 > 0.1) {</div>
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<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> flag = 0;</div>
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<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <span class="keywordflow">break</span>;</div>
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@@ -273,12 +274,12 @@ $(function(){initNavTree('d5/d33/gram__schmidt_8cpp_source.html','../../'); init
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<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> std::array<std::array<double, 10>, 20> a3 = {{{1, 2, 2}, {-4, 3, 2}}};</div>
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<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> std::array<std::array<double, 10>, 20> b3 = {{0}};</div>
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<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <span class="keywordtype">double</span> dot3 = 0;</div>
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<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> numerical_methods::gram_schmidt::gram_schmidt(2, 3, a3, b3);</div>
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<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> <a class="code hl_function" href="../../d5/d33/gram__schmidt_8cpp.html#a0837468e1a653ed056e2cce3c914afa5">numerical_methods::gram_schmidt::gram_schmidt</a>(2, 3, a3, b3);</div>
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<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> flag = 1;</div>
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<div class="line"><a id="l00228" name="l00228"></a><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"><a id="l00229" name="l00229"></a><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"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> dot3 = fabs(</div>
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<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> numerical_methods::gram_schmidt::dot_product(b3[i], b3[j], 3));</div>
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<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <a class="code hl_function" href="../../d5/d33/gram__schmidt_8cpp.html#ac4a4504924ecc9f12a2ebd80788ec01d">numerical_methods::gram_schmidt::dot_product</a>(b3[i], b3[j], 3));</div>
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<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> <span class="keywordflow">if</span> (dot3 > 0.1) {</div>
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<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> flag = 0;</div>
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<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> <span class="keywordflow">break</span>;</div>
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@@ -291,7 +292,7 @@ $(function(){initNavTree('d5/d33/gram__schmidt_8cpp_source.html','../../'); init
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<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> std::cout << <span class="stringliteral">"Passed Test Case 3\n"</span>;</div>
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<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span>}</div>
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</div>
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<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> </div>
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<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span></div>
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<div class="foldopen" id="foldopen00248" data-start="{" data-end="}">
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<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"><a class="line" href="../../d5/d33/gram__schmidt_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 248</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d5/d33/gram__schmidt_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
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<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> <span class="keywordtype">int</span> r = 0, c = 0;</div>
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@@ -315,14 +316,14 @@ $(function(){initNavTree('d5/d33/gram__schmidt_8cpp_source.html','../../'); init
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<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> std::cout << <span class="charliteral">'\n'</span>;</div>
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<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> }</div>
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<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> </div>
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<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> numerical_methods::gram_schmidt::gram_schmidt(r, c, A, B);</div>
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<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> <a class="code hl_function" href="../../d5/d33/gram__schmidt_8cpp.html#a0837468e1a653ed056e2cce3c914afa5">numerical_methods::gram_schmidt::gram_schmidt</a>(r, c, A, B);</div>
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<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> </div>
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<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> <span class="keywordtype">double</span> dot = 0;</div>
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<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> <span class="keywordtype">int</span> flag = 1; </div>
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<div class="line"><a id="l00275" name="l00275"></a><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"><a id="l00276" name="l00276"></a><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"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> dot = fabs(</div>
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<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> numerical_methods::gram_schmidt::dot_product(B[i], B[j], c));</div>
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<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <a class="code hl_function" href="../../d5/d33/gram__schmidt_8cpp.html#ac4a4504924ecc9f12a2ebd80788ec01d">numerical_methods::gram_schmidt::dot_product</a>(B[i], B[j], c));</div>
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<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> <span class="keywordflow">if</span> (dot > 0.1) </div>
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<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> {</div>
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<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> flag = 0;</div>
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@@ -335,10 +336,12 @@ $(function(){initNavTree('d5/d33/gram__schmidt_8cpp_source.html','../../'); init
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<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span>}</div>
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<div class="ttc" id="agram__schmidt_8cpp_html_a0837468e1a653ed056e2cce3c914afa5"><div class="ttname"><a href="../../d5/d33/gram__schmidt_8cpp.html#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="#l00121">gram_schmidt.cpp:121</a></div></div>
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<div class="ttc" id="agram__schmidt_8cpp_html_a8eeaafdde8b56f459aadc6013cf078bc"><div class="ttname"><a href="../../d5/d33/gram__schmidt_8cpp.html#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="#l00079">gram_schmidt.cpp:79</a></div></div>
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<div class="ttc" id="agram__schmidt_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d5/d33/gram__schmidt_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdef"><b>Definition</b> <a href="#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="../../d5/d33/gram__schmidt_8cpp.html#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="#l00059">gram_schmidt.cpp:59</a></div></div>
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<div class="ttc" id="agram__schmidt_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d5/d33/gram__schmidt_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main Function.</div><div class="ttdef"><b>Definition</b> <a href="#l00248">gram_schmidt.cpp:248</a></div></div>
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||||
<div class="ttc" id="agram__schmidt_8cpp_html_ae6b496dce691e04f7f95ba0f0d33a289"><div class="ttname"><a href="../../d5/d33/gram__schmidt_8cpp.html#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="#l00101">gram_schmidt.cpp:101</a></div></div>
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||||
<div class="ttc" id="anamespacegram__schmidt_html"><div class="ttname"><a href="../../d4/d0f/namespacegram__schmidt.html">gram_schmidt</a></div><div class="ttdoc">Functions for Gram Schmidt Orthogonalisation Process</div></div>
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||||
<div class="ttc" id="anamespacenumerical__methods_html"><div class="ttname"><a href="../../d1/de0/namespacenumerical__methods.html">numerical_methods</a></div><div class="ttdoc">for assert</div></div>
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</div><!-- fragment --></div><!-- contents -->
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@@ -347,7 +350,7 @@ $(function(){initNavTree('d5/d33/gram__schmidt_8cpp_source.html','../../'); init
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