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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>random number in the range \([a,b]\) </dd></dl>
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<div class="fragment"><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  {</div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keywordflow">return</span> ((b - <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>) * (<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % 100) / 100.<a class="code" href="../../d4/d32/fibonacci__fast_8cpp.html#a3ba232425d45f9e9c0b87a8cf7ab69d9">f</a>) + <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>;</div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> }</div>
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<div class="fragment"><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  {</div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keywordflow">return</span> ((b - <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>) * (<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % 100) / 100.<a class="code" href="../../d4/d32/fibonacci__fast_8cpp.html#a3ba232425d45f9e9c0b87a8cf7ab69d9">f</a>) + <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>;</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> }</div>
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@@ -235,23 +235,23 @@ Functions</h2></td></tr>
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</table>
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</dd>
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</dl>
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<div class="fragment"><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  {</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  val[0] = INFINITY; <span class="comment">// initial min value</span></div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keywordtype">int</span> N = X.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  </div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < N; i++) { <span class="comment">// traverse each x-index</span></div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keyword">auto</span> result = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min_element.html">std::min_element</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(X[i]), <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(X[i]));</div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordtype">double</span> d_min = *result;</div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keywordtype">int</span> j = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/distance.html">std::distance</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(X[i]), result);</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  </div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">if</span> (d_min < val[0]) { <span class="comment">// if a lower value is found</span></div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="comment">// save the value and its index</span></div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  x_idx[0] = i;</div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  y_idx[0] = j;</div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  val[0] = d_min;</div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  }</div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  }</div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> }</div>
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<div class="fragment"><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  {</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  val[0] = INFINITY; <span class="comment">// initial min value</span></div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keywordtype">int</span> N = X.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  </div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < N; i++) { <span class="comment">// traverse each x-index</span></div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keyword">auto</span> result = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min_element.html">std::min_element</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(X[i]), <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(X[i]));</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keywordtype">double</span> d_min = *result;</div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordtype">int</span> j = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/distance.html">std::distance</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(X[i]), result);</div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  </div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keywordflow">if</span> (d_min < val[0]) { <span class="comment">// if a lower value is found</span></div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="comment">// save the value and its index</span></div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  x_idx[0] = i;</div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  y_idx[0] = j;</div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  val[0] = d_min;</div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  }</div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  }</div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> }</div>
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</div><!-- fragment --><div class="dynheader">
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@@ -297,33 +297,33 @@ Here is the call graph for this function:</div>
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<dl class="section return"><dt>Returns</dt><dd>0 if all ok </dd>
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<dd>
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-1 if file creation failed </dd></dl>
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<div class="fragment"><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  {</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keywordtype">size_t</span> num_points = X.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); <span class="comment">// number of rows</span></div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordtype">size_t</span> num_features = X[0].<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); <span class="comment">// number of columns</span></div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  </div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ofstream.html">std::ofstream</a> fp;</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  fp.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ofstream/open.html">open</a>(fname);</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">if</span> (!fp.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ofstream/is_open.html">is_open</a>()) {</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="comment">// error with opening file to write</span></div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"Error opening file "</span> << fname << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keywordflow">return</span> -1;</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  }</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  </div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="comment">// for each point in the array</span></div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < num_points; i++) {</div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="comment">// for each feature in the array</span></div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < num_features; j++) {</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  fp << X[i][j]; <span class="comment">// print the feature value</span></div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">if</span> (j < num_features - 1) <span class="comment">// if not the last feature</span></div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  fp << <span class="stringliteral">","</span>; <span class="comment">// suffix comma</span></div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  }</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="keywordflow">if</span> (i < num_points - 1) <span class="comment">// if not the last row</span></div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  fp << <span class="stringliteral">"\n"</span>; <span class="comment">// start a new line</span></div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  }</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  </div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  fp.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ofstream/close.html">close</a>();</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> }</div>
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<div class="fragment"><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  {</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keywordtype">size_t</span> num_points = X.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); <span class="comment">// number of rows</span></div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordtype">size_t</span> num_features = X[0].<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); <span class="comment">// number of columns</span></div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ofstream.html">std::ofstream</a> fp;</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  fp.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ofstream/open.html">open</a>(fname);</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordflow">if</span> (!fp.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ofstream/is_open.html">is_open</a>()) {</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="comment">// error with opening file to write</span></div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"Error opening file "</span> << fname << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keywordflow">return</span> -1;</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  }</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  </div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="comment">// for each point in the array</span></div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < num_points; i++) {</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="comment">// for each feature in the array</span></div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < num_features; j++) {</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  fp << X[i][j]; <span class="comment">// print the feature value</span></div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordflow">if</span> (j < num_features - 1) <span class="comment">// if not the last feature</span></div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  fp << <span class="stringliteral">","</span>; <span class="comment">// suffix comma</span></div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  }</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keywordflow">if</span> (i < num_points - 1) <span class="comment">// if not the last row</span></div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  fp << <span class="stringliteral">"\n"</span>; <span class="comment">// start a new line</span></div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  }</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  </div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  fp.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ofstream/close.html">close</a>();</div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> }</div>
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@@ -423,7 +423,7 @@ Here is the call graph for this function:</div>
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<li class="footer">Generated on Sun Jun 21 2020 19:43:37 for Algorithms_in_C++ by
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