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<div class="title">PolarStereographic.cpp</div> </div>
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<a href="_polar_stereographic_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// CLASSIFICATION: UNCLASSIFIED</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</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">/* RSC IDENTIFIER: POLAR STEREOGRAPHIC </span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> *</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> <span class="comment"> * ABSTRACT</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> * This component provides conversions between geodetic (latitude and</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> * longitude) coordinates and Polar Stereographic (easting and northing) </span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> * coordinates.</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> * ERROR HANDLING</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> * This component checks parameters for valid values. If an invalid </span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> * value is found the error code is combined with the current error code </span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> * using the bitwise or. This combining allows multiple error codes to </span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> * be returned. The possible error codes are:</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment"> * POLAR_NO_ERROR : No errors occurred in function</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment"> * POLAR_LAT_ERROR : Latitude outside of valid range</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment"> * (-90 to 90 degrees)</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment"> * POLAR_LON_ERROR : Longitude outside of valid range</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment"> * (-180 to 360 degrees) </span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment"> * POLAR_ORIGIN_LAT_ERROR : Latitude of true scale outside of valid</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment"> * range (-90 to 90 degrees)</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment"> * POLAR_ORIGIN_LON_ERROR : Longitude down from pole outside of valid</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment"> * range (-180 to 360 degrees)</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment"> * POLAR_EASTING_ERROR : Easting outside of valid range,</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment"> * depending on ellipsoid and</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment"> * projection parameters</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment"> * POLAR_NORTHING_ERROR : Northing outside of valid range,</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment"> * depending on ellipsoid and</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment"> * projection parameters</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment"> * POLAR_RADIUS_ERROR : Coordinates too far from pole,</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment"> * depending on ellipsoid and</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"> * projection parameters</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment"> * POLAR_A_ERROR : Semi-major axis less than or equal to zero</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment"> * POLAR_INV_F_ERROR : Inverse flattening outside of valid range</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment"> * (250 to 350)</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment"> * REUSE NOTES</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment"> * POLAR STEREOGRAPHIC is intended for reuse by any application that </span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment"> * performs a Polar Stereographic projection.</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment"> * REFERENCES</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="comment"> * Further information on POLAR STEREOGRAPHIC can be found in the</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment"> * Reuse Manual.</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="comment"> * POLAR STEREOGRAPHIC originated from :</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="comment"> * U.S. Army Topographic Engineering Center</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="comment"> * Geospatial Information Division</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="comment"> * 7701 Telegraph Road</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="comment"> * Alexandria, VA 22310-3864</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="comment"> * LICENSES</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="comment"> * None apply to this component.</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="comment"> * RESTRICTIONS</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="comment"> * POLAR STEREOGRAPHIC has no restrictions.</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="comment"> * ENVIRONMENT</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="comment"> * POLAR STEREOGRAPHIC was tested and certified in the following</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="comment"> * environments:</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="comment"> * 1. Solaris 2.5 with GCC, version 2.8.1</span></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="comment"> * 2. Window 95 with MS Visual C++, version 6</span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="comment"> * MODIFICATIONS</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="comment"> * Date Description</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="comment"> * ---- -----------</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> <span class="comment"> * 2-27-07 Original Code</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="comment"> */</span></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> </div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> <span class="comment">/************************************************************************/</span></div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="comment"> * INCLUDES</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> </div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="preprocessor">#include <stdio.h></span></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="preprocessor">#include <math.h></span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="preprocessor">#include "<a class="code" href="_polar_stereographic_8h.html">PolarStereographic.h</a>"</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="preprocessor">#include "<a class="code" href="_polar_stereographic_standard_parallel_parameters_8h.html">PolarStereographicStandardParallelParameters.h</a>"</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="preprocessor">#include "<a class="code" href="_polar_stereographic_scale_factor_parameters_8h.html">PolarStereographicScaleFactorParameters.h</a>"</span></div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="preprocessor">#include "<a class="code" href="_map_projection_coordinates_8h.html">MapProjectionCoordinates.h</a>"</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="preprocessor">#include "<a class="code" href="_geodetic_coordinates_8h.html">GeodeticCoordinates.h</a>"</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="preprocessor">#include "<a class="code" href="_coordinate_conversion_exception_8h.html">CoordinateConversionException.h</a>"</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="preprocessor">#include "<a class="code" href="_error_messages_8h.html">ErrorMessages.h</a>"</span></div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> </div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="comment"> * math.h - Standard C math library</span></div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="comment"> * PolarStereographic.h - Is for prototype error checking</span></div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="comment"> * MapProjectionCoordinates.h - defines map projection coordinates</span></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="comment"> * GeodeticCoordinates.h - defines geodetic coordinates</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="comment"> * CoordinateConversionException.h - Exception handler</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="comment"> * ErrorMessages.h - Contains exception messages</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> </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> <span class="keyword">using namespace </span>MSP::CCS;</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> </div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> </div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="comment">/************************************************************************/</span></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="comment">/* DEFINES</span></div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> </div>
<div class="line"><a name="l00124"></a><span class="lineno"><a class="code" href="_polar_stereographic_8cpp.html#a952eac791b596a61bba0a133a3bb439f"> 124</a></span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a> = 3.14159265358979323e0; <span class="comment">/* PI */</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"><a class="code" href="_polar_stereographic_8cpp.html#aa3c1d8e4403d757bf419703c040db87d"> 125</a></span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a> = (<a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a> / 2.0); </div>
<div class="line"><a name="l00126"></a><span class="lineno"><a class="code" href="_polar_stereographic_8cpp.html#a11c2eef7a78031bdfb6ebc1e9c3143e2"> 126</a></span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="_lambert_conformal_conic_8cpp.html#a11c2eef7a78031bdfb6ebc1e9c3143e2">PI_OVER_4</a> = (<a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a> / 4.0); </div>
<div class="line"><a name="l00127"></a><span class="lineno"><a class="code" href="_polar_stereographic_8cpp.html#a820597b124334bf7fb85214114f4876d"> 127</a></span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="_albers_equal_area_conic_8cpp.html#a820597b124334bf7fb85214114f4876d">TWO_PI</a> = (2.0 * <a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a>);</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> </div>
<div class="line"><a name="l00129"></a><span class="lineno"><a class="code" href="_polar_stereographic_8cpp.html#a4290a819c4acab9f7bc9359dd911ddc8"> 129</a></span> <span class="preprocessor">#define MIN_SCALE_FACTOR 0.1</span></div>
<div class="line"><a name="l00130"></a><span class="lineno"><a class="code" href="_polar_stereographic_8cpp.html#aeb7e2d758031ad5750dd8c5a53b169dc"> 130</a></span> <span class="preprocessor"></span><span class="preprocessor">#define MAX_SCALE_FACTOR 3.0</span></div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> </div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="comment">/************************************************************************/</span></div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> <span class="comment">/* FUNCTIONS </span></div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> </div>
<div class="line"><a name="l00138"></a><span class="lineno"><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html#abde4c16dcb85e6b48adf39a15acfd57e"> 138</a></span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html#abde4c16dcb85e6b48adf39a15acfd57e">PolarStereographic::PolarStereographic</a>(</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keywordtype">double</span> ellipsoidSemiMajorAxis,</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keywordtype">double</span> ellipsoidFlattening,</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keywordtype">double</span> centralMeridian,</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keywordtype">double</span> standardParallel,</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keywordtype">double</span> falseEasting,</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keywordtype">double</span> falseNorthing ) :</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html">CoordinateSystem</a>(),</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  coordinateType( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_type.html">CoordinateType</a>::polarStereographicStandardParallel ),</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  es( 0.08181919084262188000 ),</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  es_OVER_2( .040909595421311 ),</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  Southern_Hemisphere( 0 ),</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  Polar_tc( 1.0 ),</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  Polar_k90( 1.0033565552493 ),</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  Polar_a_mc( 6378137.0 ), </div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  two_Polar_a( 12756274.0 ),</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  Polar_Central_Meridian( 0.0 ),</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  Polar_Standard_Parallel( ((<a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a> * 90) / 180) ),</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  Polar_False_Easting( 0.0 ),</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  Polar_False_Northing( 0.0 ),</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  Polar_Scale_Factor( 1.0 ),</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  Polar_Delta_Easting( 12713601.0 ),</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  Polar_Delta_Northing( 12713601.0 )</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> {</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> <span class="comment">/* </span></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="comment"> * The constructor receives the ellipsoid</span></div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> <span class="comment"> * parameters and Polar Stereograpic (Standard Parallel) projection parameters as inputs, and</span></div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> <span class="comment"> * sets the corresponding state variables. If any errors occur, an </span></div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> <span class="comment"> * exception is thrown with a description of the error.</span></div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> <span class="comment"> * ellipsoidSemiMajorAxis : Semi-major axis of ellipsoid, in meters (input)</span></div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> <span class="comment"> * ellipsoidFlattening : Flattening of ellipsoid (input)</span></div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> <span class="comment"> * centralMeridian : Longitude down from pole, in radians (input)</span></div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="comment"> * standardParallel : Latitude of true scale, in radians (input)</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="comment"> * falseEasting : Easting (X) at center of projection, in meters (input)</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> <span class="comment"> * falseNorthing : Northing (Y) at center of projection, in meters (input)</span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> <span class="comment"> */</span></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="keywordtype">double</span> es2;</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keywordtype">double</span> slat, sinolat, cosolat;</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="keywordtype">double</span> essin;</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="keywordtype">double</span> one_PLUS_es, one_MINUS_es;</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="keywordtype">double</span> one_PLUS_es_sinolat, one_MINUS_es_sinolat;</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keywordtype">double</span> pow_es;</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="keywordtype">double</span> inv_f = 1 / ellipsoidFlattening;</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>  <span class="keywordflow">if</span> (ellipsoidSemiMajorAxis <= 0.0)</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  { <span class="comment">/* Semi-major axis must be greater than zero */</span></div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keywordflow">throw</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_conversion_exception.html">CoordinateConversionException</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_error_messages.html#a75f494a85ff1b96b4ada5511f3bcc914">ErrorMessages::semiMajorAxis</a> );</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  }</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="keywordflow">if</span> ((inv_f < 250) || (inv_f > 350))</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  { <span class="comment">/* Inverse flattening must be between 250 and 350 */</span></div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <span class="keywordflow">throw</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_conversion_exception.html">CoordinateConversionException</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_error_messages.html#ac376fe1588b8d462711455ba1ff73fb0">ErrorMessages::ellipsoidFlattening</a> );</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  }</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="keywordflow">if</span> ((standardParallel < -<a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>) || (standardParallel > <a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>))</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  { <span class="comment">/* Origin Latitude out of range */</span></div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <span class="keywordflow">throw</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_conversion_exception.html">CoordinateConversionException</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_error_messages.html#a801c71c17f54875371096ac56784f924">ErrorMessages::originLatitude</a> );</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  }</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="keywordflow">if</span> ((centralMeridian < -<a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a>) || (centralMeridian > <a class="code" href="_albers_equal_area_conic_8cpp.html#a820597b124334bf7fb85214114f4876d">TWO_PI</a>))</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  { <span class="comment">/* Origin Longitude out of range */</span></div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keywordflow">throw</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_conversion_exception.html">CoordinateConversionException</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_error_messages.html#a101516ca8b915b90297b9e2abf28bd6f">ErrorMessages::centralMeridian</a> );</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  }</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>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#ab4b25504df8abc3fb23b5f03eaf6c14e">semiMajorAxis</a> = ellipsoidSemiMajorAxis;</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#a103abc45b36f0bc52bd992f2d19bbfc6">flattening</a> = ellipsoidFlattening;</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> </div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  two_Polar_a = 2.0 * <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#ab4b25504df8abc3fb23b5f03eaf6c14e">semiMajorAxis</a>;</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span> </div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="keywordflow">if</span> (centralMeridian > <a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a>)</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  centralMeridian -= <a class="code" href="_albers_equal_area_conic_8cpp.html#a820597b124334bf7fb85214114f4876d">TWO_PI</a>;</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="keywordflow">if</span> (standardParallel < 0)</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  {</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  Southern_Hemisphere = 1;</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  Polar_Standard_Parallel = -standardParallel;</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  Polar_Central_Meridian = -centralMeridian;</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  }</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  {</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  Southern_Hemisphere = 0;</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  Polar_Standard_Parallel = standardParallel;</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  Polar_Central_Meridian = centralMeridian;</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  }</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  Polar_False_Easting = falseEasting;</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  Polar_False_Northing = falseNorthing;</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> </div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  es2 = 2 * <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#a103abc45b36f0bc52bd992f2d19bbfc6">flattening</a> - <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#a103abc45b36f0bc52bd992f2d19bbfc6">flattening</a> * <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#a103abc45b36f0bc52bd992f2d19bbfc6">flattening</a>;</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  es = sqrt(es2);</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  es_OVER_2 = es / 2.0;</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span> </div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="keywordflow">if</span> (fabs(fabs(Polar_Standard_Parallel) - <a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>) > 1.0e-10)</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  {</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  sinolat = sin(Polar_Standard_Parallel);</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  essin = es * sinolat;</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  pow_es = polarPow(essin);</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  cosolat = cos(Polar_Standard_Parallel);</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keywordtype">double</span> mc = cosolat / sqrt(1.0 - essin * essin);</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  Polar_a_mc = <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#ab4b25504df8abc3fb23b5f03eaf6c14e">semiMajorAxis</a> * mc;</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  Polar_tc = tan(<a class="code" href="_lambert_conformal_conic_8cpp.html#a11c2eef7a78031bdfb6ebc1e9c3143e2">PI_OVER_4</a> - Polar_Standard_Parallel / 2.0) / pow_es;</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  }</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span> </div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  one_PLUS_es = 1.0 + es;</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  one_MINUS_es = 1.0 - es;</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  Polar_k90 = sqrt(pow(one_PLUS_es, one_PLUS_es) * pow(one_MINUS_es, one_MINUS_es));</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span> </div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  slat = sin(fabs(standardParallel));</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  one_PLUS_es_sinolat = 1.0 + es * slat;</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  one_MINUS_es_sinolat = 1.0 - es * slat;</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  Polar_Scale_Factor = ((1 + slat) / 2) * (Polar_k90 / sqrt(pow(one_PLUS_es_sinolat, one_PLUS_es) * pow(one_MINUS_es_sinolat, one_MINUS_es)));</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span> </div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="comment">/* Calculate Radius */</span></div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_geodetic_coordinates.html">GeodeticCoordinates</a> tempGeodeticCoordinates = <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_geodetic_coordinates.html">GeodeticCoordinates</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_type.html#a418b669819e988d0cb43c506beffd8eba49202f41636b7629fc9431e8d1b448d4">CoordinateType::geodetic</a>, centralMeridian, 0 );</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <span class="comment">//MapProjectionCoordinates* tempCoordinates = convertFromGeodetic( (GeodeticCoordinates&) GeodeticCoordinates( CoordinateType::geodetic, centralMeridian, 0 ) );</span></div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_map_projection_coordinates.html">MapProjectionCoordinates</a>* tempCoordinates = <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html#ab565325bd5601978b7dbb82445f42c61">convertFromGeodetic</a>( &tempGeodeticCoordinates );</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  Polar_Delta_Northing = tempCoordinates-><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_map_projection_coordinates.html#aea94abfb2ad8c80adbbeb7ad1de08720">northing</a>();</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keyword">delete</span> tempCoordinates;</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span> </div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="keywordflow">if</span>(Polar_False_Northing)</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  Polar_Delta_Northing -= Polar_False_Northing;</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="keywordflow">if</span> (Polar_Delta_Northing < 0)</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  Polar_Delta_Northing = -Polar_Delta_Northing;</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  Polar_Delta_Northing *= 1.01;</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span> </div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  Polar_Delta_Easting = Polar_Delta_Northing;</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span> }</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span> </div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span> </div>
<div class="line"><a name="l00264"></a><span class="lineno"><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html#a042e9e5320d566670023b43a7b3834e1"> 264</a></span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html#abde4c16dcb85e6b48adf39a15acfd57e">PolarStereographic::PolarStereographic</a>( <span class="keywordtype">double</span> ellipsoidSemiMajorAxis, <span class="keywordtype">double</span> ellipsoidFlattening, <span class="keywordtype">double</span> centralMeridian, <span class="keywordtype">double</span> scaleFactor, <span class="keywordtype">char</span> hemisphere, <span class="keywordtype">double</span> falseEasting, <span class="keywordtype">double</span> falseNorthing ) :</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html">CoordinateSystem</a>(),</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  coordinateType( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_type.html">CoordinateType</a>::polarStereographicScaleFactor ),</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  es( 0.08181919084262188000 ),</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  es_OVER_2( .040909595421311 ),</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  Southern_Hemisphere( 0 ),</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  Polar_tc( 1.0 ),</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  Polar_k90( 1.0033565552493 ),</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  Polar_a_mc( 6378137.0 ), </div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  two_Polar_a( 12756274.0 ),</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  Polar_Central_Meridian( 0.0 ),</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  Polar_Standard_Parallel( ((<a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a> * 90) / 180) ),</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  Polar_False_Easting( 0.0 ),</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  Polar_False_Northing( 0.0 ),</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  Polar_Scale_Factor( 1.0 ),</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  Polar_Delta_Easting( 12713601.0 ),</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  Polar_Delta_Northing( 12713601.0 )</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span> {</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> <span class="comment">/* </span></div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span> <span class="comment"> * The constructor receives the ellipsoid</span></div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span> <span class="comment"> * parameters and Polar Stereograpic (Scale Factor) projection parameters</span></div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span> <span class="comment"> * as inputs, and sets the corresponding state variables. If any errors occur,</span></div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span> <span class="comment"> * an exception is thrown with a description of the error.</span></div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span> <span class="comment"> * ellipsoidSemiMajorAxis : Semi-major axis of ellipsoid, in meters (input)</span></div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span> <span class="comment"> * ellipsoidFlattening : Flattening of ellipsoid (input)</span></div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span> <span class="comment"> * centralMeridian : Longitude down from pole, in radians (input)</span></div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span> <span class="comment"> * scaleFactor : Scale Factor (input)</span></div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span> <span class="comment"> * falseEasting : Easting (X) at center of projection, in meters (input)</span></div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span> <span class="comment"> * falseNorthing : Northing (Y) at center of projection, in meters (input)</span></div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span> </div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  <span class="keywordtype">double</span> es2;</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <span class="keywordtype">double</span> sinolat, cosolat;</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <span class="keywordtype">double</span> essin;</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <span class="keywordtype">double</span> pow_es;</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <span class="keywordtype">double</span> mc; </div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <span class="keywordtype">double</span> one_PLUS_es, one_MINUS_es;</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <span class="keywordtype">double</span> one_PLUS_es_sk, one_MINUS_es_sk;</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  <span class="keywordtype">double</span> sk, sk_PLUS_1;</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="keywordtype">double</span> tolerance = 1.0e-15;</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <span class="keywordtype">int</span> count = 30;</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  <span class="keywordtype">double</span> inv_f = 1 / ellipsoidFlattening;</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span> </div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <span class="keywordflow">if</span> (ellipsoidSemiMajorAxis <= 0.0)</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  { <span class="comment">/* Semi-major axis must be greater than zero */</span></div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  <span class="keywordflow">throw</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_conversion_exception.html">CoordinateConversionException</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_error_messages.html#a75f494a85ff1b96b4ada5511f3bcc914">ErrorMessages::semiMajorAxis</a> );</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  }</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  <span class="keywordflow">if</span> ((inv_f < 250) || (inv_f > 350))</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  { <span class="comment">/* Inverse flattening must be between 250 and 350 */</span></div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  <span class="keywordflow">throw</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_conversion_exception.html">CoordinateConversionException</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_error_messages.html#ac376fe1588b8d462711455ba1ff73fb0">ErrorMessages::ellipsoidFlattening</a> );</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  }</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  <span class="keywordflow">if</span> ((scaleFactor < <a class="code" href="_polar_stereographic_8cpp.html#a4290a819c4acab9f7bc9359dd911ddc8">MIN_SCALE_FACTOR</a>) || (scaleFactor > <a class="code" href="_polar_stereographic_8cpp.html#aeb7e2d758031ad5750dd8c5a53b169dc">MAX_SCALE_FACTOR</a>))</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  {</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  <span class="keywordflow">throw</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_conversion_exception.html">CoordinateConversionException</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_error_messages.html#a63c7805192e3704ac35bfdfd38af79bb">ErrorMessages::scaleFactor</a> );</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  }</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <span class="keywordflow">if</span> ((centralMeridian < -<a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a>) || (centralMeridian > <a class="code" href="_albers_equal_area_conic_8cpp.html#a820597b124334bf7fb85214114f4876d">TWO_PI</a>))</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  { <span class="comment">/* Origin Longitude out of range */</span></div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <span class="keywordflow">throw</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_conversion_exception.html">CoordinateConversionException</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_error_messages.html#a101516ca8b915b90297b9e2abf28bd6f">ErrorMessages::centralMeridian</a> );</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  }</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <span class="keywordflow">if</span> ((hemisphere != <span class="charliteral">'N'</span>) && (hemisphere != <span class="charliteral">'S'</span>))</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <span class="keywordflow">throw</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_conversion_exception.html">CoordinateConversionException</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_error_messages.html#a1c1d77de9f9febae34c78d8199e60ab7">ErrorMessages::hemisphere</a> );</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span> </div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#ab4b25504df8abc3fb23b5f03eaf6c14e">semiMajorAxis</a> = ellipsoidSemiMajorAxis;</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#a103abc45b36f0bc52bd992f2d19bbfc6">flattening</a> = ellipsoidFlattening;</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  Polar_Scale_Factor = scaleFactor;</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  Polar_False_Easting = falseEasting;</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  Polar_False_Northing = falseNorthing;</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span> </div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  two_Polar_a = 2.0 * <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#ab4b25504df8abc3fb23b5f03eaf6c14e">semiMajorAxis</a>;</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  es2 = 2 * <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#a103abc45b36f0bc52bd992f2d19bbfc6">flattening</a> - <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#a103abc45b36f0bc52bd992f2d19bbfc6">flattening</a> * <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#a103abc45b36f0bc52bd992f2d19bbfc6">flattening</a>;</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  es = sqrt(es2);</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  es_OVER_2 = es / 2.0;</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>  one_PLUS_es = 1.0 + es;</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  one_MINUS_es = 1.0 - es;</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  Polar_k90 = sqrt(pow(one_PLUS_es, one_PLUS_es) * pow(one_MINUS_es, one_MINUS_es));</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span> </div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  sk = 0;</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  sk_PLUS_1 = -1 + 2 * Polar_Scale_Factor;</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  <span class="keywordflow">while</span> (fabs(sk_PLUS_1 - sk) > tolerance && count)</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  {</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  sk = sk_PLUS_1;</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  one_PLUS_es_sk = 1.0 + es * sk;</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  one_MINUS_es_sk = 1.0 - es * sk;</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  sk_PLUS_1 = ((2 * Polar_Scale_Factor * sqrt(pow(one_PLUS_es_sk, one_PLUS_es) * pow(one_MINUS_es_sk, one_MINUS_es))) / Polar_k90) - 1;</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  count --;</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  }</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span> </div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  <span class="keywordflow">if</span>(!count)</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  <span class="keywordflow">throw</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_conversion_exception.html">CoordinateConversionException</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_error_messages.html#a801c71c17f54875371096ac56784f924">ErrorMessages::originLatitude</a> );</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span> </div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <span class="keywordtype">double</span> standardParallel = 0.0;</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  <span class="keywordflow">if</span>(sk_PLUS_1 >= -1.0 && sk_PLUS_1 <= 1.0)</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  standardParallel = asin(sk_PLUS_1);</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  <span class="keywordflow">throw</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_conversion_exception.html">CoordinateConversionException</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_error_messages.html#a801c71c17f54875371096ac56784f924">ErrorMessages::originLatitude</a> );</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span> </div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  <span class="keywordflow">if</span> (hemisphere == <span class="charliteral">'S'</span>)</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  standardParallel *= -1.0;</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span> </div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  <span class="keywordflow">if</span> (centralMeridian > <a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a>)</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  centralMeridian -= <a class="code" href="_albers_equal_area_conic_8cpp.html#a820597b124334bf7fb85214114f4876d">TWO_PI</a>;</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  <span class="keywordflow">if</span> (standardParallel < 0)</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  {</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  Southern_Hemisphere = 1;</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  Polar_Standard_Parallel = -standardParallel;</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  Polar_Central_Meridian = -centralMeridian;</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  }</div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  {</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  Southern_Hemisphere = 0;</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  Polar_Standard_Parallel = standardParallel;</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  Polar_Central_Meridian = centralMeridian;</div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  }</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span> </div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  sinolat = sin(Polar_Standard_Parallel);</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span> </div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  <span class="keywordflow">if</span> (fabs(fabs(Polar_Standard_Parallel) - <a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>) > 1.0e-10)</div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  {</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  essin = es * sinolat;</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  pow_es = polarPow(essin);</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  cosolat = cos(Polar_Standard_Parallel);</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  mc = cosolat / sqrt(1.0 - essin * essin);</div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  Polar_a_mc = <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#ab4b25504df8abc3fb23b5f03eaf6c14e">semiMajorAxis</a> * mc;</div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  Polar_tc = tan(<a class="code" href="_lambert_conformal_conic_8cpp.html#a11c2eef7a78031bdfb6ebc1e9c3143e2">PI_OVER_4</a> - Polar_Standard_Parallel / 2.0) / pow_es;</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  }</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span> </div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  <span class="comment">/* Calculate Radius */</span></div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_geodetic_coordinates.html">GeodeticCoordinates</a> tempGeodeticCoordinates = <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_geodetic_coordinates.html">GeodeticCoordinates</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_type.html#a418b669819e988d0cb43c506beffd8eba49202f41636b7629fc9431e8d1b448d4">CoordinateType::geodetic</a>, centralMeridian, 0 ) ;</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_map_projection_coordinates.html">MapProjectionCoordinates</a>* tempCoordinates = <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html#ab565325bd5601978b7dbb82445f42c61">convertFromGeodetic</a>( &tempGeodeticCoordinates );</div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  Polar_Delta_Northing = tempCoordinates-><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_map_projection_coordinates.html#aea94abfb2ad8c80adbbeb7ad1de08720">northing</a>();</div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <span class="keyword">delete</span> tempCoordinates;</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span> </div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  <span class="keywordflow">if</span>(Polar_False_Northing)</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  Polar_Delta_Northing -= Polar_False_Northing;</div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  <span class="keywordflow">if</span> (Polar_Delta_Northing < 0)</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  Polar_Delta_Northing = -Polar_Delta_Northing;</div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  Polar_Delta_Northing *= 1.01;</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span> </div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  Polar_Delta_Easting = Polar_Delta_Northing;</div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span> }</div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span> </div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span> </div>
<div class="line"><a name="l00408"></a><span class="lineno"><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html#a1773dd92a62d59d70453a9d117b91813"> 408</a></span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html#abde4c16dcb85e6b48adf39a15acfd57e">PolarStereographic::PolarStereographic</a>( <span class="keyword">const</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html">PolarStereographic</a> &ps )</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span> {</div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  coordinateType = ps.coordinateType;</div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#ab4b25504df8abc3fb23b5f03eaf6c14e">semiMajorAxis</a> = ps.<a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#ab4b25504df8abc3fb23b5f03eaf6c14e">semiMajorAxis</a>;</div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#a103abc45b36f0bc52bd992f2d19bbfc6">flattening</a> = ps.<a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#a103abc45b36f0bc52bd992f2d19bbfc6">flattening</a>;</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  es = ps.es; </div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  es_OVER_2 = ps.es_OVER_2; </div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  Southern_Hemisphere = ps.Southern_Hemisphere; </div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  Polar_tc = ps.Polar_tc; </div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  Polar_k90 = ps.Polar_k90; </div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  Polar_a_mc = ps.Polar_a_mc; </div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  two_Polar_a = ps.two_Polar_a; </div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  Polar_Central_Meridian = ps.Polar_Central_Meridian; </div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  Polar_Standard_Parallel = ps.Polar_Standard_Parallel; </div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  Polar_False_Easting = ps.Polar_False_Easting; </div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  Polar_False_Northing = ps.Polar_False_Northing; </div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  Polar_Scale_Factor = ps.Polar_Scale_Factor; </div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  Polar_Delta_Easting = ps.Polar_Delta_Easting; </div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  Polar_Delta_Northing = ps.Polar_Delta_Northing; </div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span> }</div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span> </div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span> </div>
<div class="line"><a name="l00430"></a><span class="lineno"><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html#a0b53b72f0ea3badaa09d4865857cb235"> 430</a></span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html#a0b53b72f0ea3badaa09d4865857cb235">PolarStereographic::~PolarStereographic</a>()</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span> {</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span> }</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span> </div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span> </div>
<div class="line"><a name="l00435"></a><span class="lineno"><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html#abce6ba905f5e88ea01999f3ba28e10a3"> 435</a></span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html">PolarStereographic</a>& <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html#abce6ba905f5e88ea01999f3ba28e10a3">PolarStereographic::operator=</a>( <span class="keyword">const</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html">PolarStereographic</a> &ps )</div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span> {</div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  <span class="keywordflow">if</span>( <span class="keyword">this</span> != &ps )</div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  {</div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  coordinateType = ps.coordinateType;</div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#ab4b25504df8abc3fb23b5f03eaf6c14e">semiMajorAxis</a> = ps.<a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#ab4b25504df8abc3fb23b5f03eaf6c14e">semiMajorAxis</a>;</div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#a103abc45b36f0bc52bd992f2d19bbfc6">flattening</a> = ps.<a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#a103abc45b36f0bc52bd992f2d19bbfc6">flattening</a>;</div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  es = ps.es; </div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  es_OVER_2 = ps.es_OVER_2; </div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  Southern_Hemisphere = ps.Southern_Hemisphere; </div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  Polar_tc = ps.Polar_tc; </div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  Polar_k90 = ps.Polar_k90; </div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  Polar_a_mc = ps.Polar_a_mc; </div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  two_Polar_a = ps.two_Polar_a; </div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  Polar_Central_Meridian = ps.Polar_Central_Meridian; </div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  Polar_Standard_Parallel = ps.Polar_Standard_Parallel; </div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  Polar_False_Easting = ps.Polar_False_Easting; </div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  Polar_False_Northing = ps.Polar_False_Northing; </div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  Polar_Scale_Factor = ps.Polar_Scale_Factor; </div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  Polar_Delta_Easting = ps.Polar_Delta_Easting; </div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  Polar_Delta_Northing = ps.Polar_Delta_Northing; </div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  }</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span> </div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span> }</div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span> </div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span> </div>
<div class="line"><a name="l00462"></a><span class="lineno"><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html#a2f810dae64132f70b34ba3c55d66eda1"> 462</a></span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic_standard_parallel_parameters.html">PolarStereographicStandardParallelParameters</a>* <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html#a2f810dae64132f70b34ba3c55d66eda1">PolarStereographic::getStandardParallelParameters</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span> <span class="comment"> * The function getStandardParallelParameters returns the current</span></div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span> <span class="comment"> * ellipsoid parameters and Polar (Standard Parallel) projection parameters.</span></div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span> <span class="comment"> * ellipsoidSemiMajorAxis : Semi-major axis of ellipsoid, in meters (output)</span></div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span> <span class="comment"> * ellipsoidFlattening : Flattening of ellipsoid (output)</span></div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span> <span class="comment"> * centralMeridian : Longitude down from pole, in radians (output)</span></div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span> <span class="comment"> * standardParallel : Latitude of true scale, in radians (output)</span></div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span> <span class="comment"> * falseEasting : Easting (X) at center of projection, in meters (output)</span></div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span> <span class="comment"> * falseNorthing : Northing (Y) at center of projection, in meters (output)</span></div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span> </div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  <span class="keywordflow">return</span> <span class="keyword">new</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic_standard_parallel_parameters.html">PolarStereographicStandardParallelParameters</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_type.html#a418b669819e988d0cb43c506beffd8ebad03dfb6e1c287e59a89149cc992a85f1">CoordinateType::polarStereographicStandardParallel</a>, Polar_Central_Meridian, Polar_Standard_Parallel, Polar_False_Easting, Polar_False_Northing );</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span> }</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span> </div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span> </div>
<div class="line"><a name="l00480"></a><span class="lineno"><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html#abc988a2151458f37ad9ed58cbc1a4be0"> 480</a></span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic_scale_factor_parameters.html">PolarStereographicScaleFactorParameters</a>* <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html#abc988a2151458f37ad9ed58cbc1a4be0">PolarStereographic::getScaleFactorParameters</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span> <span class="comment"> * The function getScaleFactorParameters returns the current</span></div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span> <span class="comment"> * ellipsoid parameters and Polar (Scale Factor) projection parameters.</span></div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span> <span class="comment"> * ellipsoidSemiMajorAxis : Semi-major axis of ellipsoid, in meters (output)</span></div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span> <span class="comment"> * ellipsoidFlattening : Flattening of ellipsoid (output)</span></div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span> <span class="comment"> * centralMeridian : Longitude down from pole, in radians (output)</span></div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span> <span class="comment"> * scaleFactor : Scale factor (output)</span></div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span> <span class="comment"> * falseEasting : Easting (X) at center of projection, in meters (output)</span></div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span> <span class="comment"> * falseNorthing : Northing (Y) at center of projection, in meters (output)</span></div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span> </div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  <span class="keywordflow">if</span>(Southern_Hemisphere == 0)</div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  <span class="keywordflow">return</span> <span class="keyword">new</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic_scale_factor_parameters.html">PolarStereographicScaleFactorParameters</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_type.html#a418b669819e988d0cb43c506beffd8eba2046c120ffbc1cdf0f7100a2e12aff12">CoordinateType::polarStereographicScaleFactor</a>, Polar_Central_Meridian, Polar_Scale_Factor, <span class="charliteral">'N'</span>, Polar_False_Easting, Polar_False_Northing );</div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  <span class="keywordflow">return</span> <span class="keyword">new</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic_scale_factor_parameters.html">PolarStereographicScaleFactorParameters</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_type.html#a418b669819e988d0cb43c506beffd8eba2046c120ffbc1cdf0f7100a2e12aff12">CoordinateType::polarStereographicScaleFactor</a>, Polar_Central_Meridian, Polar_Scale_Factor, <span class="charliteral">'S'</span>, Polar_False_Easting, Polar_False_Northing );</div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span> }</div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span> </div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span> </div>
<div class="line"><a name="l00501"></a><span class="lineno"><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html#ab565325bd5601978b7dbb82445f42c61"> 501</a></span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_map_projection_coordinates.html">MSP::CCS::MapProjectionCoordinates</a>* <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html#ab565325bd5601978b7dbb82445f42c61">PolarStereographic::convertFromGeodetic</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_geodetic_coordinates.html">MSP::CCS::GeodeticCoordinates</a>* geodeticCoordinates )</div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span> {</div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span> <span class="comment"> * The function convertFromGeodetic converts geodetic</span></div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span> <span class="comment"> * coordinates (latitude and longitude) to Polar Stereographic coordinates</span></div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span> <span class="comment"> * (easting and northing), according to the current ellipsoid</span></div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span> <span class="comment"> * and Polar Stereographic projection parameters. If any errors occur, </span></div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span> <span class="comment"> * an exception is thrown with a description of the error.</span></div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span> <span class="comment"> * longitude : Longitude, in radians (input)</span></div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span> <span class="comment"> * latitude : Latitude, in radians (input)</span></div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span> <span class="comment"> * easting : Easting (X), in meters (output)</span></div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span> <span class="comment"> * northing : Northing (Y), in meters (output)</span></div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span> </div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  <span class="keywordtype">double</span> dlam;</div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  <span class="keywordtype">double</span> slat;</div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  <span class="keywordtype">double</span> essin;</div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  <span class="keywordtype">double</span> t;</div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  <span class="keywordtype">double</span> rho;</div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  <span class="keywordtype">double</span> pow_es;</div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  <span class="keywordtype">double</span> easting, northing;</div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span> </div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  <span class="keywordtype">double</span> longitude = geodeticCoordinates-><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_geodetic_coordinates.html#a81b352849684e9910b4001be3fec1b0d">longitude</a>();</div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  <span class="keywordtype">double</span> latitude = geodeticCoordinates-><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_geodetic_coordinates.html#a4214a0369f1e642e1a446f35b7151108">latitude</a>();</div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span> </div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  <span class="keywordflow">if</span> ((latitude < -<a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>) || (latitude > <a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>))</div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  { <span class="comment">/* latitude out of range */</span></div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  <span class="keywordflow">throw</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_conversion_exception.html">CoordinateConversionException</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_error_messages.html#a816b9dcb83273fbc1ba1f3c215f26329">ErrorMessages::latitude</a> );</div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  }</div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> ((latitude < 0) && (Southern_Hemisphere == 0))</div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  { <span class="comment">/* latitude and Origin Latitude in different hemispheres */</span></div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  <span class="keywordflow">throw</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_conversion_exception.html">CoordinateConversionException</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_error_messages.html#a816b9dcb83273fbc1ba1f3c215f26329">ErrorMessages::latitude</a> );</div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>  }</div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> ((latitude > 0) && (Southern_Hemisphere == 1))</div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  { <span class="comment">/* latitude and Origin Latitude in different hemispheres */</span></div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  <span class="keywordflow">throw</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_conversion_exception.html">CoordinateConversionException</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_error_messages.html#a816b9dcb83273fbc1ba1f3c215f26329">ErrorMessages::latitude</a> );</div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  }</div>
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>  <span class="keywordflow">if</span> ((longitude < -<a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a>) || (longitude > <a class="code" href="_albers_equal_area_conic_8cpp.html#a820597b124334bf7fb85214114f4876d">TWO_PI</a>))</div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>  { <span class="comment">/* longitude out of range */</span></div>
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  <span class="keywordflow">throw</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_conversion_exception.html">CoordinateConversionException</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_error_messages.html#aca84764ebfd6a968bae4726c33c4c20b">ErrorMessages::longitude</a> );</div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>  }</div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span> </div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>  <span class="keywordflow">if</span> (fabs(fabs(latitude) - <a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>) < 1.0e-10)</div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  {</div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  easting = Polar_False_Easting;</div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>  northing = Polar_False_Northing;</div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  }</div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  {</div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  <span class="keywordflow">if</span> (Southern_Hemisphere != 0)</div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  {</div>
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  longitude *= -1.0;</div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  latitude *= -1.0;</div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  }</div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  dlam = longitude - Polar_Central_Meridian;</div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  <span class="keywordflow">if</span> (dlam > <a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a>)</div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  {</div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  dlam -= <a class="code" href="_albers_equal_area_conic_8cpp.html#a820597b124334bf7fb85214114f4876d">TWO_PI</a>;</div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  }</div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  <span class="keywordflow">if</span> (dlam < -<a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a>)</div>
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>  {</div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  dlam += <a class="code" href="_albers_equal_area_conic_8cpp.html#a820597b124334bf7fb85214114f4876d">TWO_PI</a>;</div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  }</div>
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  slat = sin(latitude);</div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  essin = es * slat;</div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  pow_es = polarPow(essin);</div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  t = tan(<a class="code" href="_lambert_conformal_conic_8cpp.html#a11c2eef7a78031bdfb6ebc1e9c3143e2">PI_OVER_4</a> - latitude / 2.0) / pow_es;</div>
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span> </div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  <span class="keywordflow">if</span> (fabs(fabs(Polar_Standard_Parallel) - <a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>) > 1.0e-10)</div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  rho = Polar_a_mc * t / Polar_tc;</div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  rho = two_Polar_a * t / Polar_k90;</div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span> </div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span> </div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  <span class="keywordflow">if</span> (Southern_Hemisphere != 0)</div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  {</div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  easting = -(rho * sin(dlam) - Polar_False_Easting);</div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  northing = rho * cos(dlam) + Polar_False_Northing;</div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  }</div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  {</div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>  easting = rho * sin(dlam) + Polar_False_Easting;</div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  northing = -rho * cos(dlam) + Polar_False_Northing;</div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  }</div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>  }</div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span> </div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>  <span class="keywordflow">return</span> <span class="keyword">new</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_map_projection_coordinates.html">MapProjectionCoordinates</a>( coordinateType, easting, northing );</div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span> }</div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span> </div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span> </div>
<div class="line"><a name="l00592"></a><span class="lineno"><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html#a5baef04d3b4ee35bbb13cb469c04b83c"> 592</a></span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_geodetic_coordinates.html">MSP::CCS::GeodeticCoordinates</a>* <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_polar_stereographic.html#a5baef04d3b4ee35bbb13cb469c04b83c">PolarStereographic::convertToGeodetic</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_map_projection_coordinates.html">MSP::CCS::MapProjectionCoordinates</a>* mapProjectionCoordinates )</div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span> {</div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span> <span class="comment"> * The function convertToGeodetic converts Polar</span></div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span> <span class="comment"> * Stereographic coordinates (easting and northing) to geodetic</span></div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span> <span class="comment"> * coordinates (latitude and longitude) according to the current ellipsoid</span></div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span> <span class="comment"> * and Polar Stereographic projection Parameters. If any errors occur, </span></div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span> <span class="comment"> * an exception is thrown with a description of the error.</span></div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span> <span class="comment"> * easting : Easting (X), in meters (input)</span></div>
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span> <span class="comment"> * northing : Northing (Y), in meters (input)</span></div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span> <span class="comment"> * longitude : Longitude, in radians (output)</span></div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span> <span class="comment"> * latitude : Latitude, in radians (output)</span></div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span> </div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>  <span class="keywordtype">double</span> dy = 0, dx = 0;</div>
<div class="line"><a name="l00609"></a><span class="lineno"> 609</span>  <span class="keywordtype">double</span> rho = 0;</div>
<div class="line"><a name="l00610"></a><span class="lineno"> 610</span>  <span class="keywordtype">double</span> t;</div>
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span>  <span class="keywordtype">double</span> PHI, sin_PHI;</div>
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span>  <span class="keywordtype">double</span> tempPHI = 0.0;</div>
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>  <span class="keywordtype">double</span> essin;</div>
<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>  <span class="keywordtype">double</span> pow_es;</div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>  <span class="keywordtype">double</span> delta_radius;</div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>  <span class="keywordtype">double</span> longitude, latitude;</div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span> </div>
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  <span class="keywordtype">double</span> easting = mapProjectionCoordinates-><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_map_projection_coordinates.html#a96f2d51e11a3b0b7175e220f9617b16e">easting</a>();</div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  <span class="keywordtype">double</span> northing = mapProjectionCoordinates-><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_map_projection_coordinates.html#aea94abfb2ad8c80adbbeb7ad1de08720">northing</a>();</div>
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span> </div>
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  <span class="keywordtype">double</span> min_easting = Polar_False_Easting - Polar_Delta_Easting;</div>
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  <span class="keywordtype">double</span> max_easting = Polar_False_Easting + Polar_Delta_Easting;</div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  <span class="keywordtype">double</span> min_northing = Polar_False_Northing - Polar_Delta_Northing;</div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  <span class="keywordtype">double</span> max_northing = Polar_False_Northing + Polar_Delta_Northing;</div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span> </div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  <span class="keywordflow">if</span> (easting > max_easting || easting < min_easting)</div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>  { <span class="comment">/* easting out of range */</span></div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  <span class="keywordflow">throw</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_conversion_exception.html">CoordinateConversionException</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_error_messages.html#a35b927051eb2143a2fda20693abd3290">ErrorMessages::easting</a> );</div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  }</div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>  <span class="keywordflow">if</span> (northing > max_northing || northing < min_northing)</div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  { <span class="comment">/* northing out of range */</span></div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  <span class="keywordflow">throw</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_conversion_exception.html">CoordinateConversionException</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_error_messages.html#a31cbb504cb4705337394cdda99b6279c">ErrorMessages::northing</a> );</div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>  }</div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span> </div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  dy = northing - Polar_False_Northing;</div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  dx = easting - Polar_False_Easting;</div>
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span> </div>
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>  <span class="comment">/* Radius of point with origin of false easting, false northing */</span></div>
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>  rho = sqrt(dx * dx + dy * dy); </div>
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span>  </div>
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>  delta_radius = sqrt(</div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>  Polar_Delta_Easting * Polar_Delta_Easting +</div>
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>  Polar_Delta_Northing * Polar_Delta_Northing);</div>
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span> </div>
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>  <span class="keywordflow">if</span>(rho > delta_radius)</div>
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>  { <span class="comment">/* Point is outside of projection area */</span></div>
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  <span class="keywordflow">throw</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_conversion_exception.html">CoordinateConversionException</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_error_messages.html#abbbddf041b162c69ef80c5fae8e98ff3">ErrorMessages::radius</a> );</div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  }</div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span> </div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>  <span class="keywordflow">if</span> ((dy == 0.0) && (dx == 0.0))</div>
<div class="line"><a name="l00651"></a><span class="lineno"> 651</span>  {</div>
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>  latitude = <a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>;</div>
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span>  longitude = Polar_Central_Meridian;</div>
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span>  }</div>
<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>  {</div>
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  <span class="keywordflow">if</span> (Southern_Hemisphere != 0)</div>
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>  {</div>
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  dy *= -1.0;</div>
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  dx *= -1.0;</div>
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>  }</div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span> </div>
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  <span class="keywordflow">if</span> (fabs(fabs(Polar_Standard_Parallel) - <a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>) > 1.0e-10)</div>
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  t = rho * Polar_tc / (Polar_a_mc);</div>
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span>  t = rho * Polar_k90 / (two_Polar_a);</div>
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span>  PHI = <a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a> - 2.0 * atan(t);</div>
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span>  <span class="keywordflow">while</span> (fabs(PHI - tempPHI) > 1.0e-10)</div>
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span>  {</div>
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>  tempPHI = PHI;</div>
<div class="line"><a name="l00671"></a><span class="lineno"> 671</span>  sin_PHI = sin(PHI);</div>
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span>  essin = es * sin_PHI;</div>
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span>  pow_es = polarPow(essin);</div>
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span>  PHI = <a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a> - 2.0 * atan(t * pow_es);</div>
<div class="line"><a name="l00675"></a><span class="lineno"> 675</span>  }</div>
<div class="line"><a name="l00676"></a><span class="lineno"> 676</span>  latitude = PHI;</div>
<div class="line"><a name="l00677"></a><span class="lineno"> 677</span>  longitude = Polar_Central_Meridian + atan2(dx, -dy);</div>
<div class="line"><a name="l00678"></a><span class="lineno"> 678</span> </div>
<div class="line"><a name="l00679"></a><span class="lineno"> 679</span>  <span class="keywordflow">if</span> (longitude > <a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a>)</div>
<div class="line"><a name="l00680"></a><span class="lineno"> 680</span>  longitude -= <a class="code" href="_albers_equal_area_conic_8cpp.html#a820597b124334bf7fb85214114f4876d">TWO_PI</a>;</div>
<div class="line"><a name="l00681"></a><span class="lineno"> 681</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (longitude < -<a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a>)</div>
<div class="line"><a name="l00682"></a><span class="lineno"> 682</span>  longitude += <a class="code" href="_albers_equal_area_conic_8cpp.html#a820597b124334bf7fb85214114f4876d">TWO_PI</a>;</div>
<div class="line"><a name="l00683"></a><span class="lineno"> 683</span> </div>
<div class="line"><a name="l00684"></a><span class="lineno"> 684</span> </div>
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span>  <span class="keywordflow">if</span> (latitude > <a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>) <span class="comment">/* force distorted values to 90, -90 degrees */</span></div>
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span>  latitude = <a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>;</div>
<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (latitude < -<a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>)</div>
<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>  latitude = -<a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>;</div>
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span> </div>
<div class="line"><a name="l00690"></a><span class="lineno"> 690</span>  <span class="keywordflow">if</span> (longitude > <a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a>) <span class="comment">/* force distorted values to 180, -180 degrees */</span></div>
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span>  longitude = <a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a>;</div>
<div class="line"><a name="l00692"></a><span class="lineno"> 692</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (longitude < -<a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a>)</div>
<div class="line"><a name="l00693"></a><span class="lineno"> 693</span>  longitude = -<a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a>;</div>
<div class="line"><a name="l00694"></a><span class="lineno"> 694</span> </div>
<div class="line"><a name="l00695"></a><span class="lineno"> 695</span>  }</div>
<div class="line"><a name="l00696"></a><span class="lineno"> 696</span>  <span class="keywordflow">if</span> (Southern_Hemisphere != 0)</div>
<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>  {</div>
<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>  latitude *= -1.0;</div>
<div class="line"><a name="l00699"></a><span class="lineno"> 699</span>  longitude *= -1.0;</div>
<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>  }</div>
<div class="line"><a name="l00701"></a><span class="lineno"> 701</span> </div>
<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>  <span class="keywordflow">return</span> <span class="keyword">new</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_geodetic_coordinates.html">GeodeticCoordinates</a>(</div>
<div class="line"><a name="l00703"></a><span class="lineno"> 703</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_type.html#a418b669819e988d0cb43c506beffd8eba49202f41636b7629fc9431e8d1b448d4">CoordinateType::geodetic</a>, longitude, latitude );</div>
<div class="line"><a name="l00704"></a><span class="lineno"> 704</span> }</div>
<div class="line"><a name="l00705"></a><span class="lineno"> 705</span> </div>
<div class="line"><a name="l00706"></a><span class="lineno"> 706</span> </div>
<div class="line"><a name="l00707"></a><span class="lineno"> 707</span> <span class="keywordtype">double</span> PolarStereographic::polarPow( <span class="keywordtype">double</span> esSin )</div>
<div class="line"><a name="l00708"></a><span class="lineno"> 708</span> {</div>
<div class="line"><a name="l00709"></a><span class="lineno"> 709</span>  <span class="keywordflow">return</span> pow((1.0 - esSin) / (1.0 + esSin), es_OVER_2);</div>
<div class="line"><a name="l00710"></a><span class="lineno"> 710</span> }</div>
<div class="line"><a name="l00711"></a><span class="lineno"> 711</span> </div>
<div class="line"><a name="l00712"></a><span class="lineno"> 712</span> </div>
<div class="line"><a name="l00713"></a><span class="lineno"> 713</span> <span class="comment">// CLASSIFICATION: UNCLASSIFIED</span></div>
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