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Ellipsoid_8h_source.html
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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">// Author: Joshua Cohen, Bryan V. Riel</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> <span class="comment">//</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> </div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="preprocessor">#include "forward.h"</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> </div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor">#include <cstdio></span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor">#include <cmath></span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#include "Constants.h"</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="preprocessor">#include "Vector.h"</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="classisce3_1_1core_1_1Ellipsoid.html"> 20</a></span> <span class="keyword">class </span><a class="code" href="classisce3_1_1core_1_1Ellipsoid.html">isce3::core::Ellipsoid</a> {</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> </div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  CUDA_HOSTDEV</div>
<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="classisce3_1_1core_1_1Ellipsoid.html#a6313bc710a3478c3fbcb73f40f5d1e71"> 28</a></span>  <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a6313bc710a3478c3fbcb73f40f5d1e71">Ellipsoid</a>(<span class="keywordtype">double</span> maj, <span class="keywordtype">double</span> ecc) : _a(maj), _e2(ecc) {}</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> </div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="comment">/* Empty constructor - default to Earth WGS-84 ellipsoid */</span> </div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  CUDA_HOSTDEV</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a6313bc710a3478c3fbcb73f40f5d1e71">Ellipsoid</a>() : Ellipsoid(<a class="code" href="namespaceisce3_1_1core.html#ada87625556e8ffc430c0f6da65b93896">EarthSemiMajorAxis</a>, <a class="code" href="namespaceisce3_1_1core.html#ab7946b08b598531286b4d1a2839a1598">EarthEccentricitySquared</a>) {}</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> </div>
<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="classisce3_1_1core_1_1Ellipsoid.html#ac5dfbd331425c51f7238d7f9ed6a04c6"> 37</a></span>  <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#ac5dfbd331425c51f7238d7f9ed6a04c6">Ellipsoid</a>(<span class="keyword">const</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html">Ellipsoid</a> & ellps) : _a(ellps.<a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a25ae62ce6f5861b1e47c6cd8d537c124">a</a>()), _e2(ellps.<a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a5091a0b3085c830dc4f9e49ef078789f">e2</a>()) {}</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> </div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keyword">inline</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html">Ellipsoid</a>& <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a392e2735dc2bb320980f7688d8e46b80">operator=</a>(<span class="keyword">const</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html">Ellipsoid</a>&);</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> </div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  CUDA_HOSTDEV</div>
<div class="line"><a name="l00044"></a><span class="lineno"><a class="line" href="classisce3_1_1core_1_1Ellipsoid.html#a25ae62ce6f5861b1e47c6cd8d537c124"> 44</a></span>  <span class="keywordtype">double</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a25ae62ce6f5861b1e47c6cd8d537c124">a</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> _a;}</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> </div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  CUDA_HOSTDEV</div>
<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="classisce3_1_1core_1_1Ellipsoid.html#a17a8861d35be783a2be67fbcf9e804f9"> 48</a></span>  <span class="keywordtype">double</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a17a8861d35be783a2be67fbcf9e804f9">b</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> _a * std::sqrt(1.0 - _e2);}</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> </div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  CUDA_HOSTDEV</div>
<div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="classisce3_1_1core_1_1Ellipsoid.html#a5091a0b3085c830dc4f9e49ef078789f"> 52</a></span>  <span class="keywordtype">double</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a5091a0b3085c830dc4f9e49ef078789f">e2</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> _e2;}</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> </div>
<div class="line"><a name="l00057"></a><span class="lineno"><a class="line" href="classisce3_1_1core_1_1Ellipsoid.html#a0161f4e7454ec99351813f45e9602702"> 57</a></span>  <span class="keywordtype">void</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a0161f4e7454ec99351813f45e9602702">a</a>(<span class="keywordtype">double</span> val) {_a = val;}</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a name="l00062"></a><span class="lineno"><a class="line" href="classisce3_1_1core_1_1Ellipsoid.html#a8118a6d1c2aafd9b16cb37be1934f69e"> 62</a></span>  <span class="keywordtype">void</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a8118a6d1c2aafd9b16cb37be1934f69e">e2</a>(<span class="keywordtype">double</span> val) {_e2 = val;}</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> </div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  CUDA_HOSTDEV</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a79bac3bb5ed8a4551cc799b79d381bc8">rEast</a>(<span class="keywordtype">double</span> lat) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> </div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  CUDA_HOSTDEV</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a46961ea8755891e5ee1d161345ffd132">rNorth</a>(<span class="keywordtype">double</span> lat) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> </div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  CUDA_HOSTDEV</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#aab59b156f914b4876ef266fed1437c9e">rDir</a>(<span class="keywordtype">double</span> hdg, <span class="keywordtype">double</span> lat) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  CUDA_HOSTDEV</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordtype">void</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a96cac325a23803fd18cfe619e9f39fef">lonLatToXyz</a>(<span class="keyword">const</span> <a class="code" href="classisce3_1_1core_1_1Vector.html">cartesian_t</a> &llh, <a class="code" href="classisce3_1_1core_1_1Vector.html">cartesian_t</a> &xyz) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  CUDA_HOSTDEV <a class="code" href="classisce3_1_1core_1_1Vector.html">Vec3</a> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a96cac325a23803fd18cfe619e9f39fef">lonLatToXyz</a>(<span class="keyword">const</span> <a class="code" href="classisce3_1_1core_1_1Vector.html">Vec3</a>& llh)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <a class="code" href="classisce3_1_1core_1_1Vector.html">Vec3</a> xyz;</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a96cac325a23803fd18cfe619e9f39fef">lonLatToXyz</a>(llh, xyz);</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordflow">return</span> xyz;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  }</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> </div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  CUDA_HOSTDEV</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordtype">void</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a50fb30acca9c7590ddc330e7ea61a663">xyzToLonLat</a>(<span class="keyword">const</span> cartesian_t &xyz, cartesian_t &llh) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  CUDA_HOSTDEV Vec3 <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a50fb30acca9c7590ddc330e7ea61a663">xyzToLonLat</a>(<span class="keyword">const</span> Vec3& xyz)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  Vec3 llh;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a50fb30acca9c7590ddc330e7ea61a663">xyzToLonLat</a>(xyz, llh);</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keywordflow">return</span> llh;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  }</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> </div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  CUDA_HOSTDEV</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#ac1370c3f1d73d70176e113e7892892d5">nVector</a>(<span class="keywordtype">double</span> lon, <span class="keywordtype">double</span> lat, cartesian_t &vec) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  CUDA_HOSTDEV</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keyword">inline</span> Vec3 <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#ac1370c3f1d73d70176e113e7892892d5">nVector</a>(<span class="keywordtype">double</span> lon, <span class="keywordtype">double</span> lat)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  Vec3 result;</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#ac1370c3f1d73d70176e113e7892892d5">nVector</a>(lon, lat, result);</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordflow">return</span> result;</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="l00105"></a><span class="lineno"> 105</span>  CUDA_HOSTDEV</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a286268a8778e4155bd1b97d4473b7fd4">xyzOnEllipse</a>(<span class="keywordtype">double</span> lon, <span class="keywordtype">double</span> lat, cartesian_t &xyz) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> </div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keywordtype">void</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#aa4fcadae39821d838619ca5baca7f590">getImagingAnglesAtPlatform</a>(<span class="keyword">const</span> cartesian_t &pos,<span class="keyword">const</span> cartesian_t &vel,</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keyword">const</span> cartesian_t &los, <span class="keywordtype">double</span> &azi, <span class="keywordtype">double</span> &look) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> </div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordtype">double</span> _a;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordtype">double</span> _e2;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</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"><a class="line" href="classisce3_1_1core_1_1Ellipsoid.html#a392e2735dc2bb320980f7688d8e46b80"> 117</a></span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html">isce3::core::Ellipsoid</a>& <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a392e2735dc2bb320980f7688d8e46b80">isce3::core::Ellipsoid::operator=</a>(<span class="keyword">const</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html">Ellipsoid</a> &rhs) {</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  _a = rhs.<a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a25ae62ce6f5861b1e47c6cd8d537c124">a</a>();</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  _e2 = rhs.<a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a5091a0b3085c830dc4f9e49ef078789f">e2</a>();</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> }</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> </div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> CUDA_HOSTDEV</div>
<div class="line"><a name="l00127"></a><span class="lineno"><a class="line" href="classisce3_1_1core_1_1Ellipsoid.html#a79bac3bb5ed8a4551cc799b79d381bc8"> 127</a></span> <span class="keywordtype">double</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a79bac3bb5ed8a4551cc799b79d381bc8">isce3::core::Ellipsoid::rEast</a>(<span class="keywordtype">double</span> lat)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="comment">// Radius of Ellipsoid in East direction (assuming latitude-wise symmetry)</span></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keywordflow">return</span> _a / std::sqrt(1.0 - (_e2 * std::pow(std::sin(lat), 2)));</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> }</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> </div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> </div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> CUDA_HOSTDEV</div>
<div class="line"><a name="l00137"></a><span class="lineno"><a class="line" href="classisce3_1_1core_1_1Ellipsoid.html#a46961ea8755891e5ee1d161345ffd132"> 137</a></span> <span class="keywordtype">double</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a46961ea8755891e5ee1d161345ffd132">isce3::core::Ellipsoid::rNorth</a>(<span class="keywordtype">double</span> lat)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="comment">// Radius of Ellipsoid in North direction (assuming latitude-wise symmetry)</span></div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keywordflow">return</span> (_a * (1.0 - _e2)) / std::pow((1.0 - (_e2 * std::pow(std::sin(lat), 2))), 1.5);</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> </div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> CUDA_HOSTDEV</div>
<div class="line"><a name="l00148"></a><span class="lineno"><a class="line" href="classisce3_1_1core_1_1Ellipsoid.html#aab59b156f914b4876ef266fed1437c9e"> 148</a></span> <span class="keywordtype">double</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#aab59b156f914b4876ef266fed1437c9e">isce3::core::Ellipsoid::rDir</a>(<span class="keywordtype">double</span> hdg, <span class="keywordtype">double</span> lat)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="keyword">auto</span> re = rEast(lat);</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keyword">auto</span> rn = rNorth(lat);</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keywordflow">return</span> (re * rn) / ((re * std::pow(std::cos(hdg), 2)) </div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  + (rn * std::pow(std::sin(hdg), 2)));</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> }</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> </div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> </div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> CUDA_HOSTDEV</div>
<div class="line"><a name="l00162"></a><span class="lineno"><a class="line" href="classisce3_1_1core_1_1Ellipsoid.html#ac1370c3f1d73d70176e113e7892892d5"> 162</a></span> <span class="keywordtype">void</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#ac1370c3f1d73d70176e113e7892892d5">isce3::core::Ellipsoid::nVector</a>(<span class="keywordtype">double</span> lon, <span class="keywordtype">double</span> lat, <a class="code" href="classisce3_1_1core_1_1Vector.html">cartesian_t</a> &vec)<span class="keyword"> const</span></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <span class="keywordtype">double</span> clat = std::cos(lat);</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  vec[0] = clat * std::cos(lon);</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  vec[1] = clat * std::sin(lon);</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  vec[2] = std::sin(lat);</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> }</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> </div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> </div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> CUDA_HOSTDEV</div>
<div class="line"><a name="l00177"></a><span class="lineno"><a class="line" href="classisce3_1_1core_1_1Ellipsoid.html#a286268a8778e4155bd1b97d4473b7fd4"> 177</a></span> <span class="keywordtype">void</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a286268a8778e4155bd1b97d4473b7fd4">isce3::core::Ellipsoid::xyzOnEllipse</a>(<span class="keywordtype">double</span> lon, <span class="keywordtype">double</span> lat, <a class="code" href="classisce3_1_1core_1_1Vector.html">cartesian_t</a> &vec)<span class="keyword"> const</span></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  nVector(lon, lat, vec);</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  vec[0] *= _a;</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  vec[1] *= _a;</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  vec[2] *= b();</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span> }</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span> </div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> CUDA_HOSTDEV <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a96cac325a23803fd18cfe619e9f39fef">isce3::core::Ellipsoid::</a></div>
<div class="line"><a name="l00188"></a><span class="lineno"><a class="line" href="classisce3_1_1core_1_1Ellipsoid.html#a96cac325a23803fd18cfe619e9f39fef"> 188</a></span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a96cac325a23803fd18cfe619e9f39fef">lonLatToXyz</a>(<span class="keyword">const</span> <a class="code" href="classisce3_1_1core_1_1Vector.html">cartesian_t</a> & llh, <a class="code" href="classisce3_1_1core_1_1Vector.html">cartesian_t</a> & xyz)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> <span class="comment"> * Given a lat, lon, and height, produces a geocentric vector.</span></div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span> </div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="comment">// Radius of Earth in East direction</span></div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <span class="keyword">auto</span> re = rEast(llh[1]);</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="comment">// Parametric representation of a circle as a function of longitude</span></div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  xyz[0] = (re + llh[2]) * std::cos(llh[1]) * std::cos(llh[0]);</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  xyz[1] = (re + llh[2]) * std::cos(llh[1]) * std::sin(llh[0]);</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="comment">// Parametric representation with the radius adjusted for eccentricity</span></div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  xyz[2] = ((re * (1.0 - _e2)) + llh[2]) * std::sin(llh[1]);</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> }</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> </div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span> CUDA_HOSTDEV <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a50fb30acca9c7590ddc330e7ea61a663">isce3::core::Ellipsoid::</a></div>
<div class="line"><a name="l00207"></a><span class="lineno"><a class="line" href="classisce3_1_1core_1_1Ellipsoid.html#a50fb30acca9c7590ddc330e7ea61a663"> 207</a></span> <a class="code" href="classisce3_1_1core_1_1Ellipsoid.html#a50fb30acca9c7590ddc330e7ea61a663">xyzToLonLat</a>(<span class="keyword">const</span> <a class="code" href="classisce3_1_1core_1_1Vector.html">cartesian_t</a> & xyz, <a class="code" href="classisce3_1_1core_1_1Vector.html">cartesian_t</a> & llh)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span> <span class="comment"> * Given a geocentric XYZ, produces a lat, lon, and height above the reference ellipsoid.</span></div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span> <span class="comment"> * VERMEILLE IMPLEMENTATION</span></div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="comment">// Pre-compute some values</span></div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> e4 = _e2 * _e2;</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> a2 = _a * _a;</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <span class="comment">// Lateral distance normalized by the major axis</span></div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <span class="keywordtype">double</span> p = (std::pow(xyz[0], 2) + std::pow(xyz[1], 2)) / a2;</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="comment">// Polar distance normalized by the minor axis</span></div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="keywordtype">double</span> q = ((1. - _e2) * std::pow(xyz[2], 2)) / a2;</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="keywordtype">double</span> r = (p + q - e4) / 6.;</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="keywordtype">double</span> s = (e4 * p * q) / (4. * std::pow(r, 3));</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <span class="keywordtype">double</span> t = std::pow(1. + s + std::sqrt(s * (2. + s)), (1./3.));</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <span class="keywordtype">double</span> u = r * (1. + t + (1. / t));</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="keywordtype">double</span> rv = std::sqrt(std::pow(u, 2) + (e4 * q));</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="keywordtype">double</span> w = (_e2 * (u + rv - q)) / (2. * rv);</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keywordtype">double</span> k = std::sqrt(u + rv + std::pow(w, 2)) - w;</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="comment">// Radius adjusted for eccentricity</span></div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="keywordtype">double</span> d = (k * std::sqrt(std::pow(xyz[0], 2) + std::pow(xyz[1], 2))) / (k + _e2);</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="comment">// Latitude is a function of z and radius</span></div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  llh[1] = std::atan2(xyz[2], d);</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="comment">// Longitude is a function of x and y</span></div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  llh[0] = std::atan2(xyz[1], xyz[0]);</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="comment">// Height is a function of location and radius</span></div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  llh[2] = ((k + _e2 - 1.) * sqrt(std::pow(d, 2) + std::pow(xyz[2], 2))) / k;</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span> }</div>
<div class="ttc" id="classisce3_1_1core_1_1Ellipsoid_html_a286268a8778e4155bd1b97d4473b7fd4"><div class="ttname"><a href="classisce3_1_1core_1_1Ellipsoid.html#a286268a8778e4155bd1b97d4473b7fd4">isce3::core::Ellipsoid::xyzOnEllipse</a></div><div class="ttdeci">CUDA_HOSTDEV void xyzOnEllipse(double lon, double lat, cartesian_t &xyz) const </div><div class="ttdoc">Return ECEF coordinates of point on ellipse. </div><div class="ttdef"><b>Definition:</b> Ellipsoid.h:177</div></div>
<div class="ttc" id="classisce3_1_1core_1_1Ellipsoid_html_a0161f4e7454ec99351813f45e9602702"><div class="ttname"><a href="classisce3_1_1core_1_1Ellipsoid.html#a0161f4e7454ec99351813f45e9602702">isce3::core::Ellipsoid::a</a></div><div class="ttdeci">void a(double val)</div><div class="ttdoc">Set semi-major axis. </div><div class="ttdef"><b>Definition:</b> Ellipsoid.h:57</div></div>
<div class="ttc" id="classisce3_1_1core_1_1Ellipsoid_html_a8118a6d1c2aafd9b16cb37be1934f69e"><div class="ttname"><a href="classisce3_1_1core_1_1Ellipsoid.html#a8118a6d1c2aafd9b16cb37be1934f69e">isce3::core::Ellipsoid::e2</a></div><div class="ttdeci">void e2(double val)</div><div class="ttdoc">Set eccentricity^2. </div><div class="ttdef"><b>Definition:</b> Ellipsoid.h:62</div></div>
<div class="ttc" id="classisce3_1_1core_1_1Ellipsoid_html_aab59b156f914b4876ef266fed1437c9e"><div class="ttname"><a href="classisce3_1_1core_1_1Ellipsoid.html#aab59b156f914b4876ef266fed1437c9e">isce3::core::Ellipsoid::rDir</a></div><div class="ttdeci">CUDA_HOSTDEV double rDir(double hdg, double lat) const </div><div class="ttdoc">Return directional local radius. </div><div class="ttdef"><b>Definition:</b> Ellipsoid.h:148</div></div>
<div class="ttc" id="classisce3_1_1core_1_1Ellipsoid_html_a5091a0b3085c830dc4f9e49ef078789f"><div class="ttname"><a href="classisce3_1_1core_1_1Ellipsoid.html#a5091a0b3085c830dc4f9e49ef078789f">isce3::core::Ellipsoid::e2</a></div><div class="ttdeci">CUDA_HOSTDEV double e2() const </div><div class="ttdoc">Return eccentricity^2. </div><div class="ttdef"><b>Definition:</b> Ellipsoid.h:52</div></div>
<div class="ttc" id="classisce3_1_1core_1_1Ellipsoid_html"><div class="ttname"><a href="classisce3_1_1core_1_1Ellipsoid.html">isce3::core::Ellipsoid</a></div><div class="ttdoc">Data structure to store Ellipsoid information. </div><div class="ttdef"><b>Definition:</b> Ellipsoid.h:20</div></div>
<div class="ttc" id="classisce3_1_1core_1_1Ellipsoid_html_a50fb30acca9c7590ddc330e7ea61a663"><div class="ttname"><a href="classisce3_1_1core_1_1Ellipsoid.html#a50fb30acca9c7590ddc330e7ea61a663">isce3::core::Ellipsoid::xyzToLonLat</a></div><div class="ttdeci">CUDA_HOSTDEV void xyzToLonLat(const cartesian_t &xyz, cartesian_t &llh) const </div><div class="ttdoc">Transform ECEF xyz to Lon/Lat/Hgt. </div><div class="ttdef"><b>Definition:</b> Ellipsoid.h:207</div></div>
<div class="ttc" id="classisce3_1_1core_1_1Ellipsoid_html_aa4fcadae39821d838619ca5baca7f590"><div class="ttname"><a href="classisce3_1_1core_1_1Ellipsoid.html#aa4fcadae39821d838619ca5baca7f590">isce3::core::Ellipsoid::getImagingAnglesAtPlatform</a></div><div class="ttdeci">void getImagingAnglesAtPlatform(const cartesian_t &pos, const cartesian_t &vel, const cartesian_t &los, double &azi, double &look) const </div><div class="ttdoc">Estimate azimuth angle and look angle for a given LOS vector. </div><div class="ttdef"><b>Definition:</b> Ellipsoid.cpp:22</div></div>
<div class="ttc" id="classisce3_1_1core_1_1Ellipsoid_html_a6313bc710a3478c3fbcb73f40f5d1e71"><div class="ttname"><a href="classisce3_1_1core_1_1Ellipsoid.html#a6313bc710a3478c3fbcb73f40f5d1e71">isce3::core::Ellipsoid::Ellipsoid</a></div><div class="ttdeci">CUDA_HOSTDEV Ellipsoid(double maj, double ecc)</div><div class="ttdoc">Constructor using semi-major axis and eccentricity^2. </div><div class="ttdef"><b>Definition:</b> Ellipsoid.h:28</div></div>
<div class="ttc" id="classisce3_1_1core_1_1Ellipsoid_html_a96cac325a23803fd18cfe619e9f39fef"><div class="ttname"><a href="classisce3_1_1core_1_1Ellipsoid.html#a96cac325a23803fd18cfe619e9f39fef">isce3::core::Ellipsoid::lonLatToXyz</a></div><div class="ttdeci">CUDA_HOSTDEV void lonLatToXyz(const cartesian_t &llh, cartesian_t &xyz) const </div><div class="ttdoc">Transform WGS84 Lon/Lat/Hgt to ECEF xyz. </div><div class="ttdef"><b>Definition:</b> Ellipsoid.h:188</div></div>
<div class="ttc" id="classisce3_1_1core_1_1Ellipsoid_html_a25ae62ce6f5861b1e47c6cd8d537c124"><div class="ttname"><a href="classisce3_1_1core_1_1Ellipsoid.html#a25ae62ce6f5861b1e47c6cd8d537c124">isce3::core::Ellipsoid::a</a></div><div class="ttdeci">CUDA_HOSTDEV double a() const </div><div class="ttdoc">Return semi-major axis. </div><div class="ttdef"><b>Definition:</b> Ellipsoid.h:44</div></div>
<div class="ttc" id="namespaceisce3_1_1core_html_ab7946b08b598531286b4d1a2839a1598"><div class="ttname"><a href="namespaceisce3_1_1core.html#ab7946b08b598531286b4d1a2839a1598">isce3::core::EarthEccentricitySquared</a></div><div class="ttdeci">const double EarthEccentricitySquared</div><div class="ttdoc">Eccentricity^2 for WGS84. </div><div class="ttdef"><b>Definition:</b> Constants.h:44</div></div>
<div class="ttc" id="namespaceisce3_1_1core_html_ada87625556e8ffc430c0f6da65b93896"><div class="ttname"><a href="namespaceisce3_1_1core.html#ada87625556e8ffc430c0f6da65b93896">isce3::core::EarthSemiMajorAxis</a></div><div class="ttdeci">const double EarthSemiMajorAxis</div><div class="ttdoc">Semi-major axis for WGS84. </div><div class="ttdef"><b>Definition:</b> Constants.h:41</div></div>
<div class="ttc" id="classisce3_1_1core_1_1Ellipsoid_html_a17a8861d35be783a2be67fbcf9e804f9"><div class="ttname"><a href="classisce3_1_1core_1_1Ellipsoid.html#a17a8861d35be783a2be67fbcf9e804f9">isce3::core::Ellipsoid::b</a></div><div class="ttdeci">CUDA_HOSTDEV double b() const </div><div class="ttdoc">Return semi-minor axis. </div><div class="ttdef"><b>Definition:</b> Ellipsoid.h:48</div></div>
<div class="ttc" id="classisce3_1_1core_1_1Ellipsoid_html_a46961ea8755891e5ee1d161345ffd132"><div class="ttname"><a href="classisce3_1_1core_1_1Ellipsoid.html#a46961ea8755891e5ee1d161345ffd132">isce3::core::Ellipsoid::rNorth</a></div><div class="ttdeci">CUDA_HOSTDEV double rNorth(double lat) const </div><div class="ttdoc">Return local radius in NS direction. </div><div class="ttdef"><b>Definition:</b> Ellipsoid.h:137</div></div>
<div class="ttc" id="classisce3_1_1core_1_1Ellipsoid_html_ac1370c3f1d73d70176e113e7892892d5"><div class="ttname"><a href="classisce3_1_1core_1_1Ellipsoid.html#ac1370c3f1d73d70176e113e7892892d5">isce3::core::Ellipsoid::nVector</a></div><div class="ttdeci">CUDA_HOSTDEV void nVector(double lon, double lat, cartesian_t &vec) const </div><div class="ttdoc">Return normal to the ellipsoid at given lon, lat. </div><div class="ttdef"><b>Definition:</b> Ellipsoid.h:162</div></div>
<div class="ttc" id="classisce3_1_1core_1_1Ellipsoid_html_a392e2735dc2bb320980f7688d8e46b80"><div class="ttname"><a href="classisce3_1_1core_1_1Ellipsoid.html#a392e2735dc2bb320980f7688d8e46b80">isce3::core::Ellipsoid::operator=</a></div><div class="ttdeci">Ellipsoid & operator=(const Ellipsoid &)</div><div class="ttdoc">Overloaded assignment operator. </div><div class="ttdef"><b>Definition:</b> Ellipsoid.h:117</div></div>
<div class="ttc" id="classisce3_1_1core_1_1Ellipsoid_html_ac5dfbd331425c51f7238d7f9ed6a04c6"><div class="ttname"><a href="classisce3_1_1core_1_1Ellipsoid.html#ac5dfbd331425c51f7238d7f9ed6a04c6">isce3::core::Ellipsoid::Ellipsoid</a></div><div class="ttdeci">Ellipsoid(const Ellipsoid &ellps)</div><div class="ttdoc">Copy constructor. </div><div class="ttdef"><b>Definition:</b> Ellipsoid.h:37</div></div>
<div class="ttc" id="classisce3_1_1core_1_1Vector_html"><div class="ttname"><a href="classisce3_1_1core_1_1Vector.html">isce3::core::Vector< 3 ></a></div></div>
<div class="ttc" id="classisce3_1_1core_1_1Ellipsoid_html_a79bac3bb5ed8a4551cc799b79d381bc8"><div class="ttname"><a href="classisce3_1_1core_1_1Ellipsoid.html#a79bac3bb5ed8a4551cc799b79d381bc8">isce3::core::Ellipsoid::rEast</a></div><div class="ttdeci">CUDA_HOSTDEV double rEast(double lat) const </div><div class="ttdoc">Return local radius in EW direction. </div><div class="ttdef"><b>Definition:</b> Ellipsoid.h:127</div></div>
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