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<div class="title">Utilities.h</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">//-*- C++ -*_</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">//-*- coding: utf-8 -*-</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// Authors: Bryan Riel, Joshua Cohen</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">// Copyright 2017-2018</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> </div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="preprocessor">#include <algorithm></span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="preprocessor">#include <iostream></span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor">#include <iterator></span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor">#include <limits></span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor">#include <sstream></span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#include <string></span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="preprocessor">#include <vector></span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="preprocessor">#include <valarray></span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#include <complex></span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> </div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment">// Macro wrappers to check vector lengths </span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment">// (adds calling function and variable name information to the exception)</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#define checkVecLen(v,l) isce3::core::checkVecLenDebug(v,l,#v,__PRETTY_FUNCTION__)</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor"></span><span class="preprocessor">#define check2dVecLen(v,l,w) isce3::core::check2dVecLenDebug(v,l,w,#v,__PRETTY_FUNCTION__)</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="keyword">namespace </span>isce3 { <span class="keyword">namespace </span>core {</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> </div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="namespaceisce3_1_1core.html#a2571b923775b676f2fb4de6b0b142a67"> 31</a></span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="namespaceisce3_1_1core.html#a2571b923775b676f2fb4de6b0b142a67">checkVecLenDebug</a>(<span class="keyword">const</span> std::vector<T> &vec, <span class="keywordtype">size_t</span> len, <span class="keyword">const</span> <span class="keywordtype">char</span> *vec_name, </div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="keyword">const</span> <span class="keywordtype">char</span> *parent_func) {</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keywordflow">if</span> (vec.size() != len) {</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  std::string errstr = <span class="stringliteral">"In '"</span> + std::string(parent_func) + <span class="stringliteral">"': Vector '"</span> + </div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  std::string(vec_name) + <span class="stringliteral">"' has size "</span> + </div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  std::to_string(vec.size()) + <span class="stringliteral">", expected size "</span> + </div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  std::to_string(len) + <span class="stringliteral">"."</span>;</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keywordflow">throw</span> std::invalid_argument(errstr);</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  }</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  }</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> </div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="comment">// Same as above but for 2D vectors</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> check2dVecLenDebug(<span class="keyword">const</span> std::vector<std::vector<T>> &vec,</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordtype">size_t</span> len, <span class="keywordtype">size_t</span> width, <span class="keyword">const</span> <span class="keywordtype">char</span> *vec_name,</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keyword">const</span> <span class="keywordtype">char</span> *parent_func) {</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keywordflow">if</span> ((vec.size() != len) && (vec[0].size() != width)) {</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  std::string errstr = <span class="stringliteral">"In '"</span> + std::string(parent_func) + <span class="stringliteral">"': Vector '"</span> + </div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  std::string(vec_name) + <span class="stringliteral">"' has size ("</span> + </div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  std::to_string(vec.size()) + <span class="stringliteral">" x "</span> + </div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  std::to_string(vec[0].size()) + <span class="stringliteral">"), expected size ("</span> + </div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  std::to_string(len) + <span class="stringliteral">" x "</span> + std::to_string(width) + <span class="stringliteral">")."</span>;</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keywordflow">throw</span> std::invalid_argument(errstr);</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  }</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  }</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> </div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00062"></a><span class="lineno"><a class="line" href="namespaceisce3_1_1core.html#aa64d058c9944968fbc1133695547008d"> 62</a></span>  <span class="keyword">inline</span> std::vector<T> <a class="code" href="namespaceisce3_1_1core.html#aa64d058c9944968fbc1133695547008d">arange</a>(T low, T high, T increment) {</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="comment">// Instantiate the vector</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  std::vector<T> data;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="comment">// Set the first value</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  T current = low;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="comment">// Loop over the increments and add to vector</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">while</span> (current < high) {</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  data.push_back(current);</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  current += increment;</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  }</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="comment">// done</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keywordflow">return</span> data;</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  }</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00081"></a><span class="lineno"><a class="line" href="namespaceisce3_1_1core.html#ac4f0147c807d959b39768c95a960cde2"> 81</a></span>  <span class="keyword">inline</span> std::vector<T> <a class="code" href="namespaceisce3_1_1core.html#ac4f0147c807d959b39768c95a960cde2">linspace</a>(T low, T high, std::size_t number) {</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="comment">// Instantiate the vector</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  std::vector<T> data;</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="comment">// Compute the increment</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  T increment = (high - low) / (number - 1);</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="comment">// Handle cases where number in (0, 1)</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordflow">if</span> (number == 0) {</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordflow">return</span> data;</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  }</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keywordflow">if</span> (number == 1) {</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  data.push_back(low);</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordflow">return</span> data;</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  }</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="comment">// Loop over the increments and add to vector</span></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < number - 1; ++i) {</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  data.push_back(low + i * increment);</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  }</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="comment">// Add the last element</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  data.push_back(high);</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="comment">// done</span></div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordflow">return</span> data;</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  }</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> </div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00109"></a><span class="lineno"><a class="line" href="namespaceisce3_1_1core.html#a35af8adc2adbb21d57167c8c99f2e240"> 109</a></span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="namespaceisce3_1_1core.html#ac4f0147c807d959b39768c95a960cde2">linspace</a>(T low, T high, std::vector<T> & data) {</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="comment">// Compute the increment</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordtype">int</span> number = data.size();</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  T increment = (high - low) / (number - 1);</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="comment">// Handle cases where number in (0, 1)</span></div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordflow">if</span> (number == 0) {</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  }</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keywordflow">if</span> (number == 1) {</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  data[0] = low;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  }</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="comment">// Loop over the increments and add to vector</span></div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < number; ++i) {</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  data[i] = low + i * increment;</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  }</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="comment">// done</span></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  }</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> </div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00133"></a><span class="lineno"><a class="line" href="namespaceisce3_1_1core.html#a89599001edbdb98310c6c0aba309a123"> 133</a></span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="namespaceisce3_1_1core.html#ac4f0147c807d959b39768c95a960cde2">linspace</a>(T low, T high, std::valarray<T> & data) {</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="comment">// Compute the increment</span></div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keywordtype">int</span> number = data.size();</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  T increment = (high - low) / (number - 1);</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="comment">// Handle cases where number in (0, 1)</span></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keywordflow">if</span> (number == 0) {</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  }</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keywordflow">if</span> (number == 1) {</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  data[0] = low;</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  }</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="comment">// Loop over the increments and add to vector</span></div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < number; ++i) {</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  data[i] = low + i * increment;</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  }</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="comment">// done</span></div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  }</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> </div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00158"></a><span class="lineno"><a class="line" href="namespaceisce3_1_1core.html#a0a8949af3c118b19d55a2663c10f2bb7"> 158</a></span>  <span class="keyword">inline</span> std::vector<T> <a class="code" href="namespaceisce3_1_1core.html#a0a8949af3c118b19d55a2663c10f2bb7">logspace</a>(T first, T last, std::size_t number, T base=10) {</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="comment">// Instantiate the vector</span></div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  std::vector<T> data;</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="comment">// Compute the increment of the powers</span></div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  T increment = (last - first) / (number - 1);</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="comment">// Handle cases where number in (0, 1)</span></div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <span class="keywordflow">if</span> (number == 0) {</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="keywordflow">return</span> data;</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  }</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keywordflow">if</span> (number == 1) {</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  data.push_back(pow(base, first));</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="keywordflow">return</span> data;</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  }</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="comment">// Loop over the increments and add to vector</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < number - 1; ++i) {</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  T value = pow(base, first + i * increment);</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  data.push_back(value);</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  }</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="comment">// Add the last element</span></div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  data.push_back(pow(base, last));</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="comment">// done</span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="keywordflow">return</span> data;</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  }</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> </div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00186"></a><span class="lineno"><a class="line" href="namespaceisce3_1_1core.html#a4a269194defacb2aed739b2800ead99b"> 186</a></span>  <span class="keyword">inline</span> std::vector<T> <a class="code" href="namespaceisce3_1_1core.html#a4a269194defacb2aed739b2800ead99b">stringToVector</a>(<span class="keyword">const</span> std::string & str) {</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="comment">// Make a stream</span></div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  std::stringstream stream(str);</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="comment">// Parse string</span></div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  T number;</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  std::vector<T> vec;</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="keywordflow">while</span> (stream >> number) {</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  vec.push_back(number);</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  }</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="comment">// done</span></div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="keywordflow">return</span> vec;</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  }</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span> </div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00203"></a><span class="lineno"><a class="line" href="namespaceisce3_1_1core.html#aae906e25582cedeb75b1365db2eeb583"> 203</a></span>  <span class="keyword">inline</span> std::string <a class="code" href="namespaceisce3_1_1core.html#aae906e25582cedeb75b1365db2eeb583">vectorToString</a>(<span class="keyword">const</span> std::vector<T> & vec) {</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="comment">// Initialize stream</span></div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  std::stringstream stream;</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="comment">// Print values</span></div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  std::copy(vec.begin(), vec.end(), std::ostream_iterator<T>(stream, <span class="stringliteral">" "</span>));</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="comment">// done</span></div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="keywordflow">return</span> stream.str();</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  }</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span> </div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  std::string <a class="code" href="namespaceisce3_1_1core.html#aa6f98e0dfb6e29412a458806abb8b42c">stringFromVRT</a>(<span class="keyword">const</span> <span class="keywordtype">char</span> * filename, <span class="keywordtype">int</span> bandNum=1);</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> </div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keyword">inline</span> <span class="keywordtype">bool</span></div>
<div class="line"><a name="l00226"></a><span class="lineno"><a class="line" href="namespaceisce3_1_1core.html#a7e47b7bcd5cad5526ea04e230b7601dd"> 226</a></span>  <a class="code" href="namespaceisce3_1_1core.html#a7e47b7bcd5cad5526ea04e230b7601dd">compareFloatingPoint</a>(T first, T second) {</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="keyword">const</span> T scale = std::max({<span class="keyword">static_cast<</span>T<span class="keyword">></span>(1.0), std::abs(first), std::abs(second)});</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keywordflow">return</span> std::abs(first - second) <= std::numeric_limits<T>::epsilon() * scale;</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  }</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span> </div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <span class="keyword">inline</span> <span class="keywordtype">bool</span></div>
<div class="line"><a name="l00237"></a><span class="lineno"><a class="line" href="namespaceisce3_1_1core.html#ad047ef637dae39bd32ee370908b1e70e"> 237</a></span>  <a class="code" href="namespaceisce3_1_1core.html#ad047ef637dae39bd32ee370908b1e70e">compareComplex</a>(std::complex<T> first, std::complex<T> second) {</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="keywordflow">return</span> <a class="code" href="namespaceisce3_1_1core.html#a7e47b7bcd5cad5526ea04e230b7601dd">compareFloatingPoint</a>(first.real(), second.real())</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  && <a class="code" href="namespaceisce3_1_1core.html#a7e47b7bcd5cad5526ea04e230b7601dd">compareFloatingPoint</a>(first.imag(), second.imag());</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  }</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span> </div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="keyword">inline</span> std::valarray<bool></div>
<div class="line"><a name="l00248"></a><span class="lineno"><a class="line" href="namespaceisce3_1_1core.html#a5b0774a7f168296c74eaadf200723645"> 248</a></span>  <a class="code" href="namespaceisce3_1_1core.html#a5b0774a7f168296c74eaadf200723645">makeMask</a>(<span class="keyword">const</span> std::valarray<std::complex<T>> & v, std::complex<T> noDataValue) {</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  std::valarray<bool> mask(v.size());</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < v.size(); ++i) {</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceisce3_1_1core.html#ad047ef637dae39bd32ee370908b1e70e">compareComplex</a>(v[i], noDataValue)) {</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  mask[i] = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  mask[i] = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  }</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  }</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="keywordflow">return</span> mask;</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  }</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span> </div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <span class="keyword">inline</span> std::valarray<bool></div>
<div class="line"><a name="l00266"></a><span class="lineno"><a class="line" href="namespaceisce3_1_1core.html#a3045e9ba1da7635dd9336b41a5bf901f"> 266</a></span>  <a class="code" href="namespaceisce3_1_1core.html#a5b0774a7f168296c74eaadf200723645">makeMask</a>(<span class="keyword">const</span> std::valarray<T> & v, T noDataValue) {</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  std::valarray<bool> mask(v.size());</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < v.size(); ++i) {</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceisce3_1_1core.html#a7e47b7bcd5cad5526ea04e230b7601dd">compareFloatingPoint</a>(v[i], noDataValue)) {</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  mask[i] = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  mask[i] = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  }</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  }</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="keywordflow">return</span> mask;</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  }</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span> </div>
<div class="line"><a name="l00279"></a><span class="lineno"><a class="line" href="namespaceisce3_1_1core.html#ad7aa3d8e7886fe7cdaff36d92abebebb"> 279</a></span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="namespaceisce3_1_1core.html#ad7aa3d8e7886fe7cdaff36d92abebebb">insertionSort</a>(std::valarray<double> & a,</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  std::valarray<double> & b,</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  std::valarray<double> & c) {</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i < a.size(); ++i) {</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="keywordtype">int</span> j = i - 1;</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> tempa = a[i];</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> tempb = b[i];</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> tempc = c[i];</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="keywordflow">while</span> (j >= 0 && a[j] > tempa) {</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  a[j+1] = a[j];</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  b[j+1] = b[j];</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  c[j+1] = c[j];</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  j = j - 1;</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  }</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  a[j+1] = tempa;</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  b[j+1] = tempb;</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  c[j+1] = tempc;</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  }</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  }</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  </div>
<div class="line"><a name="l00300"></a><span class="lineno"><a class="line" href="namespaceisce3_1_1core.html#a0dff663b3a047a9ecde610fe3888e5a6"> 300</a></span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="namespaceisce3_1_1core.html#ad7aa3d8e7886fe7cdaff36d92abebebb">insertionSort</a>(std::valarray<double> & a,</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  std::valarray<double> & b) {</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i < a.size(); ++i) {</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  <span class="keywordtype">int</span> j = i - 1;</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> tempa = a[i];</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> tempb = b[i];</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  <span class="keywordflow">while</span> (j >= 0 && a[j] > tempa) {</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  a[j+1] = a[j];</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  b[j+1] = b[j];</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  j = j - 1;</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  }</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  a[j+1] = tempa;</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  b[j+1] = tempb;</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  }</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  }</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  </div>
<div class="line"><a name="l00317"></a><span class="lineno"><a class="line" href="namespaceisce3_1_1core.html#a84b2621fd5de68211f90a523c1369126"> 317</a></span>  <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="namespaceisce3_1_1core.html#a84b2621fd5de68211f90a523c1369126">binarySearch</a>(<span class="keyword">const</span> std::valarray<double> & array, <span class="keywordtype">double</span> value) {</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  </div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  <span class="comment">// Do the binary search </span></div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <span class="keywordtype">int</span> left = 0;</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="keywordtype">int</span> right = array.size() - 1;</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <span class="keywordtype">int</span> index;</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <span class="keywordflow">while</span> (left <= right) {</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> middle = <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(std::round(0.5 * (left + right)));</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <span class="keywordflow">if</span> (left == (right - 1)) {</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  index = left;</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <span class="keywordflow">return</span> index;</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  }</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <span class="keywordflow">if</span> (array[middle] <= value) {</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  left = middle;</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (array[middle] > value) {</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  right = middle;</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  }</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  }</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  index = left;</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  <span class="keywordflow">return</span> index;</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  }</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span> </div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  <span class="keyword">template</span><<span class="keyword">class</span> T></div>
<div class="line"><a name="l00341"></a><span class="lineno"><a class="line" href="namespaceisce3_1_1core.html#a9b0a65675272ee84cfcd8b1d2ff84229"> 341</a></span>  <span class="keyword">inline</span> <span class="keyword">const</span> T & <a class="code" href="namespaceisce3_1_1core.html#a9b0a65675272ee84cfcd8b1d2ff84229">clamp</a>(<span class="keyword">const</span> T & x, <span class="keyword">const</span> T & lower, <span class="keyword">const</span> T & upper) {</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  <span class="keywordflow">return</span> std::min(upper, std::max(x, lower));</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  }</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span> </div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span> }}</div>
<div class="ttc" id="namespaceisce3_1_1core_html_ad047ef637dae39bd32ee370908b1e70e"><div class="ttname"><a href="namespaceisce3_1_1core.html#ad047ef637dae39bd32ee370908b1e70e">isce3::core::compareComplex</a></div><div class="ttdeci">bool compareComplex(std::complex< T > first, std::complex< T > second)</div><div class="ttdoc">Tolerance test for real and imaginary components for scalar value. </div><div class="ttdef"><b>Definition:</b> Utilities.h:237</div></div>
<div class="ttc" id="namespaceisce3_1_1core_html_a2571b923775b676f2fb4de6b0b142a67"><div class="ttname"><a href="namespaceisce3_1_1core.html#a2571b923775b676f2fb4de6b0b142a67">isce3::core::checkVecLenDebug</a></div><div class="ttdeci">void checkVecLenDebug(const std::vector< T > &vec, size_t len, const char *vec_name, const char *parent_func)</div><div class="ttdoc">Inline function for input checking on vector lengths (primarily to check to see if 3D vector has the ...</div><div class="ttdef"><b>Definition:</b> Utilities.h:31</div></div>
<div class="ttc" id="namespaceisce3_1_1core_html_ac4f0147c807d959b39768c95a960cde2"><div class="ttname"><a href="namespaceisce3_1_1core.html#ac4f0147c807d959b39768c95a960cde2">isce3::core::linspace</a></div><div class="ttdeci">std::vector< T > linspace(T low, T high, std::size_t number)</div><div class="ttdoc">Function to return a Matlab/Python style linspace vector. </div><div class="ttdef"><b>Definition:</b> Utilities.h:81</div></div>
<div class="ttc" id="namespaceisce3_1_1core_html_a4a269194defacb2aed739b2800ead99b"><div class="ttname"><a href="namespaceisce3_1_1core.html#a4a269194defacb2aed739b2800ead99b">isce3::core::stringToVector</a></div><div class="ttdeci">std::vector< T > stringToVector(const std::string &str)</div><div class="ttdoc">Parse a space-separated string into a vector. </div><div class="ttdef"><b>Definition:</b> Utilities.h:186</div></div>
<div class="ttc" id="namespaceisce3_1_1core_html_a9b0a65675272ee84cfcd8b1d2ff84229"><div class="ttname"><a href="namespaceisce3_1_1core.html#a9b0a65675272ee84cfcd8b1d2ff84229">isce3::core::clamp</a></div><div class="ttdeci">const T & clamp(const T &x, const T &lower, const T &upper)</div><div class="ttdoc">Clip a number between an upper and lower range (implements std::clamp for older GCC) ...</div><div class="ttdef"><b>Definition:</b> Utilities.h:341</div></div>
<div class="ttc" id="namespaceisce3_1_1core_html_aae906e25582cedeb75b1365db2eeb583"><div class="ttname"><a href="namespaceisce3_1_1core.html#aae906e25582cedeb75b1365db2eeb583">isce3::core::vectorToString</a></div><div class="ttdeci">std::string vectorToString(const std::vector< T > &vec)</div><div class="ttdoc">Generate a string of space-separated values from a vector. </div><div class="ttdef"><b>Definition:</b> Utilities.h:203</div></div>
<div class="ttc" id="namespaceisce3_1_1core_html_a7e47b7bcd5cad5526ea04e230b7601dd"><div class="ttname"><a href="namespaceisce3_1_1core.html#a7e47b7bcd5cad5526ea04e230b7601dd">isce3::core::compareFloatingPoint</a></div><div class="ttdeci">bool compareFloatingPoint(T first, T second)</div><div class="ttdoc">Combined absolute and relative tolerance test. </div><div class="ttdef"><b>Definition:</b> Utilities.h:226</div></div>
<div class="ttc" id="namespaceisce3_1_1core_html_a5b0774a7f168296c74eaadf200723645"><div class="ttname"><a href="namespaceisce3_1_1core.html#a5b0774a7f168296c74eaadf200723645">isce3::core::makeMask</a></div><div class="ttdeci">std::valarray< bool > makeMask(const std::valarray< std::complex< T >> &v, std::complex< T > noDataValue)</div><div class="ttdoc">making a boolean mask for an array based on noDataValue </div><div class="ttdef"><b>Definition:</b> Utilities.h:248</div></div>
<div class="ttc" id="namespaceisce3_1_1core_html_aa64d058c9944968fbc1133695547008d"><div class="ttname"><a href="namespaceisce3_1_1core.html#aa64d058c9944968fbc1133695547008d">isce3::core::arange</a></div><div class="ttdeci">std::vector< T > arange(T low, T high, T increment)</div><div class="ttdoc">Function to return a Python style arange vector. </div><div class="ttdef"><b>Definition:</b> Utilities.h:62</div></div>
<div class="ttc" id="namespaceisce3_1_1core_html_ad7aa3d8e7886fe7cdaff36d92abebebb"><div class="ttname"><a href="namespaceisce3_1_1core.html#ad7aa3d8e7886fe7cdaff36d92abebebb">isce3::core::insertionSort</a></div><div class="ttdeci">void insertionSort(std::valarray< double > &a, std::valarray< double > &b, std::valarray< double > &c)</div><div class="ttdoc">Sort arrays a, b, c by the values in array a. </div><div class="ttdef"><b>Definition:</b> Utilities.h:279</div></div>
<div class="ttc" id="namespaceisce3_1_1core_html_a0a8949af3c118b19d55a2663c10f2bb7"><div class="ttname"><a href="namespaceisce3_1_1core.html#a0a8949af3c118b19d55a2663c10f2bb7">isce3::core::logspace</a></div><div class="ttdeci">std::vector< T > logspace(T first, T last, std::size_t number, T base=10)</div><div class="ttdoc">Function to return a Matlab/Python style logspace vector. </div><div class="ttdef"><b>Definition:</b> Utilities.h:158</div></div>
<div class="ttc" id="namespaceisce3_1_1core_html_aa6f98e0dfb6e29412a458806abb8b42c"><div class="ttname"><a href="namespaceisce3_1_1core.html#aa6f98e0dfb6e29412a458806abb8b42c">isce3::core::stringFromVRT</a></div><div class="ttdeci">std::string stringFromVRT(const char *filename, int bandNum=1)</div><div class="ttdoc">Read metadata from a VRT file and return an std::string. </div><div class="ttdef"><b>Definition:</b> Utilities.cpp:5</div></div>
<div class="ttc" id="namespaceisce3_1_1core_html_a84b2621fd5de68211f90a523c1369126"><div class="ttname"><a href="namespaceisce3_1_1core.html#a84b2621fd5de68211f90a523c1369126">isce3::core::binarySearch</a></div><div class="ttdeci">int binarySearch(const std::valarray< double > &array, double value)</div><div class="ttdoc">Searches array for index closest to provided value. </div><div class="ttdef"><b>Definition:</b> Utilities.h:317</div></div>
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