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<div class="title">Cassini.cpp</div> </div>
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<a href="_cassini_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: CASSINI</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"> * ABSTRACT</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> * This component provides conversions between Geodetic coordinates</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> * (latitude and longitude in radians) and Cassini projection coordinates</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> * (easting and northing in meters).</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> * ERROR HANDLING</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> * This component checks parameters for valid values. If an invalid value</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> * is found, the error code is combined with the current error code using</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> * the bitwise or. This combining allows multiple error codes to be</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> * returned. The possible error codes are:</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> * CASS_NO_ERROR : No errors occurred in function</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment"> * CASS_LAT_ERROR : Latitude outside of valid range</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment"> * (-90 to 90 degrees)</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment"> * CASS_LON_ERROR : Longitude outside of valid range</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment"> * (-180 to 360 degrees)</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment"> * CASS_EASTING_ERROR : Easting outside of valid range</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment"> * (False_Easting +/- ~20,000,000 m,</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment"> * depending on ellipsoid parameters</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment"> * and Origin_Latitude)</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment"> * CASS_NORTHING_ERROR : Northing outside of valid range</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment"> * (False_Northing +/- ~57,000,000 m,</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment"> * depending on ellipsoid parameters</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment"> * and Origin_Latitude)</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment"> * CASS_ORIGIN_LAT_ERROR : Origin latitude outside of valid range</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment"> * (-90 to 90 degrees)</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment"> * CASS_CENT_MER_ERROR : Central meridian outside of valid range</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment"> * (-180 to 360 degrees)</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment"> * CASS_A_ERROR : Semi-major axis less than or equal to zero</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"> * CASS_INV_F_ERROR : Inverse flattening outside of valid range</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment"> * (250 to 350)</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment"> * CASS_LON_WARNING : Distortion will result if longitude is more</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment"> * than 4 degrees from the Central Meridian</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"> * REUSE NOTES</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment"> * CASSINI is intended for reuse by any application that performs a</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment"> * Cassini projection or its inverse.</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment"> * REFERENCES</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"> * Further information on CASSINI can be found in the Reuse Manual.</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"> * CASSINI originated from : U.S. Army Topographic Engineering Center</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment"> * Geospatial Information Division</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="comment"> * 7701 Telegraph Road</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="comment"> * Alexandria, VA 22310-3864</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="comment"> * LICENSES</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="comment"> * None apply to this component.</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="comment"> * RESTRICTIONS</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"> * CASSINI has no restrictions.</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"> * ENVIRONMENT</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"> * CASSINI was tested and certified in the following environments:</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="comment"> * 1. Solaris 2.5 with GCC 2.8.1</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="comment"> * 2. MS Windows 95 with MS Visual C++ 6</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"> * MODIFICATIONS</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="comment"> * Date Description</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="comment"> * ---- -----------</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="comment"> * 04-16-99 Original Code</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="comment"> * 03-07-07 Original C++ Code</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> </div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> </div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="comment">/***************************************************************************/</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"> * INCLUDES</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> </div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="preprocessor">#include <math.h></span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="preprocessor">#include "<a class="code" href="_cassini_8h.html">Cassini.h</a>"</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="preprocessor">#include "<a class="code" href="_map_projection4_parameters_8h.html">MapProjection4Parameters.h</a>"</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="preprocessor">#include "<a class="code" href="_map_projection_coordinates_8h.html">MapProjectionCoordinates.h</a>"</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="preprocessor">#include "<a class="code" href="_geodetic_coordinates_8h.html">GeodeticCoordinates.h</a>"</span></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> <span class="preprocessor">#include "<a class="code" href="_coordinate_conversion_exception_8h.html">CoordinateConversionException.h</a>"</span></div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="preprocessor">#include "<a class="code" href="_error_messages_8h.html">ErrorMessages.h</a>"</span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="preprocessor">#include "<a class="code" href="_warning_messages_8h.html">WarningMessages.h</a>"</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> </div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="comment"> * math.h - Standard C math library</span></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="comment"> * Cassini.h - Is for prototype error checking.</span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="comment"> * MapProjectionCoordinates.h - defines map projection coordinates</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="comment"> * GeodeticCoordinates.h - defines geodetic coordinates</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="comment"> * CoordinateConversionException.h - Exception handler</span></div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="comment"> * ErrorMessages.h - Contains exception messages</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="comment"> * WarningMessages.h - Contains warning messages</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</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="keyword">using namespace </span>MSP::CCS;</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> </div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> </div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="comment">/***************************************************************************/</span></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="comment">/* DEFINES </span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> </div>
<div class="line"><a name="l00114"></a><span class="lineno"><a class="code" href="_cassini_8cpp.html#a952eac791b596a61bba0a133a3bb439f"> 114</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="l00115"></a><span class="lineno"><a class="code" href="_cassini_8cpp.html#aa3c1d8e4403d757bf419703c040db87d"> 115</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="l00116"></a><span class="lineno"><a class="code" href="_cassini_8cpp.html#a820597b124334bf7fb85214114f4876d"> 116</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="l00117"></a><span class="lineno"><a class="code" href="_cassini_8cpp.html#a5a8974be1d1f4082c37a96823c90719e"> 117</a></span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="_cassini_8cpp.html#a5a8974be1d1f4082c37a96823c90719e">THIRTY_ONE</a> = (31.0 * <a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a> / 180); <span class="comment">/* 31 degrees in radians */</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"><a class="code" href="_cassini_8cpp.html#a413191d8088c11f27bdc5fe926890da5"> 119</a></span> <span class="keywordtype">double</span> <a class="code" href="_cassini_8cpp.html#a413191d8088c11f27bdc5fe926890da5">cassCoeffTimesSine</a>( <span class="keywordtype">double</span> coeff, <span class="keywordtype">double</span> x, <span class="keywordtype">double</span> latit )</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> {</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="keywordflow">return</span> coeff * (sin (x * latit));</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</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"> 124</span> </div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="comment">/************************************************************************/</span></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="comment">/* FUNCTIONS </span></div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> </div>
<div class="line"><a name="l00130"></a><span class="lineno"><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_cassini.html#a4325b52d84bf165f316490414e172186"> 130</a></span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_cassini.html#a4325b52d84bf165f316490414e172186">Cassini::Cassini</a>( <span class="keywordtype">double</span> ellipsoidSemiMajorAxis, <span class="keywordtype">double</span> ellipsoidFlattening, <span class="keywordtype">double</span> centralMeridian, <span class="keywordtype">double</span> originLatitude, <span class="keywordtype">double</span> falseEasting, <span class="keywordtype">double</span> falseNorthing ) :</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</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="l00132"></a><span class="lineno"> 132</span>  es2( 0.0066943799901413800 ),</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  es4( 4.4814723452405e-005 ),</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  es6( 3.0000678794350e-007 ),</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  M0( 0.0 ),</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  c0( .99832429845280 ),</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  c1( .0025146070605187 ),</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  c2( 2.6390465943377e-006 ),</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  c3( 3.4180460865959e-009 ),</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  One_Minus_es2( .99330562000986 ),</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  a0( .0025188265843907 ),</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  a1( 3.7009490356205e-006 ),</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  a2( 7.4478137675038e-009 ),</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  a3( 1.7035993238596e-011 ),</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  Cass_Origin_Long( 0.0 ),</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  Cass_Origin_Lat( 0.0 ),</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  Cass_False_Easting( 0.0 ),</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  Cass_False_Northing( 0.0 ),</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  Cass_Min_Easting( -20037508.4 ),</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  Cass_Max_Easting( 20037508.4 ),</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  Cass_Min_Northing( -56575846.0 ),</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  Cass_Max_Northing( 56575846.0 )</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> {</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> <span class="comment"> * The constructor receives the ellipsoid parameters and</span></div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> <span class="comment"> * Cassini projection parameters as inputs, and sets the corresponding state</span></div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> <span class="comment"> * variables. If any errors occur, an exception is thrown with a description </span></div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> <span class="comment"> * of the error.</span></div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> <span class="comment"> * ellipsoidSemiMajorAxis : Semi-major axis of ellipsoid, in meters (input)</span></div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> <span class="comment"> * ellipsoidFlattening : Flattening of ellipsoid (input)</span></div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> <span class="comment"> * centralMeridian : Longitude in radians at the center of (input)</span></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="comment"> * the projection</span></div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> <span class="comment"> * originLatitude : Latitude in radians at which the (input)</span></div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> <span class="comment"> * point scale factor is 1.0</span></div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> <span class="comment"> * falseEasting : A coordinate value in meters assigned to the</span></div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> <span class="comment"> * central meridian of the projection. (input)</span></div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> <span class="comment"> * falseNorthing : A coordinate value in meters assigned to the</span></div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> <span class="comment"> * origin latitude of the projection (input)</span></div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> </div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keywordtype">double</span> j,three_es4;</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="keywordtype">double</span> x, e1, e2, e3, e4;</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keywordtype">double</span> lat, sin2lat, sin4lat, sin6lat;</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keywordtype">double</span> inv_f = 1 / ellipsoidFlattening;</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> </div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keywordflow">if</span> (ellipsoidSemiMajorAxis <= 0.0)</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  { <span class="comment">/* Semi-major axis must be greater than zero */</span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</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="l00180"></a><span class="lineno"> 180</span>  }</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keywordflow">if</span> ((inv_f < 250) || (inv_f > 350))</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  { <span class="comment">/* Inverse flattening must be between 250 and 350 */</span></div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</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="l00184"></a><span class="lineno"> 184</span>  }</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="keywordflow">if</span> ((originLatitude < -<a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>) || (originLatitude > <a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>))</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  { <span class="comment">/* origin latitude out of range */</span></div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</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="l00188"></a><span class="lineno"> 188</span>  }</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</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="l00190"></a><span class="lineno"> 190</span>  { <span class="comment">/* origin longitude out of range */</span></div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</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="l00192"></a><span class="lineno"> 192</span>  }</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span> </div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</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="l00195"></a><span class="lineno"> 195</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="l00196"></a><span class="lineno"> 196</span> </div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  Cass_Origin_Lat = originLatitude;</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</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="l00199"></a><span class="lineno"> 199</span>  centralMeridian -= <a class="code" href="_albers_equal_area_conic_8cpp.html#a820597b124334bf7fb85214114f4876d">TWO_PI</a>;</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  Cass_Origin_Long = centralMeridian;</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  Cass_False_Northing = falseNorthing;</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  Cass_False_Easting = falseEasting;</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</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="l00204"></a><span class="lineno"> 204</span>  es4 = es2 * es2;</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  es6 = es4 * es2;</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  j = 45.0 * es6 / 1024.0;</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  three_es4 = 3.0 * es4;</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  c0 = 1 - es2 / 4.0 - three_es4 / 64.0 - 5.0 * es6 / 256.0;</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  c1 = 3.0 * es2 /8.0 + three_es4 / 32.0 + j;</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  c2 = 15.0 * es4 / 256.0 + j;</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  c3 = 35.0 * es6 / 3072.0;</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  lat = c0 * Cass_Origin_Lat;</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  sin2lat = <a class="code" href="_cassini_8cpp.html#a413191d8088c11f27bdc5fe926890da5">cassCoeffTimesSine</a>(c1, 2.0, Cass_Origin_Lat);</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  sin4lat = <a class="code" href="_cassini_8cpp.html#a413191d8088c11f27bdc5fe926890da5">cassCoeffTimesSine</a>(c2, 4.0, Cass_Origin_Lat);</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  sin6lat = <a class="code" href="_cassini_8cpp.html#a413191d8088c11f27bdc5fe926890da5">cassCoeffTimesSine</a>(c3, 6.0, Cass_Origin_Lat);</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  M0 = cassM( lat, sin2lat, sin4lat, sin6lat );</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> </div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  One_Minus_es2 = 1.0 - es2;</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  x = sqrt (One_Minus_es2);</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  e1 = (1 - x) / (1 + x);</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  e2 = e1 * e1;</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  e3 = e2 * e1;</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  e4 = e3 * e1;</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  a0 = 3.0 * e1 / 2.0 - 27.0 * e3 / 32.0;</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  a1 = 21.0 * e2 / 16.0 - 55.0 * e4 / 32.0;</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  a2 = 151.0 * e3 / 96.0;</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  a3 = 1097.0 * e4 /512.0;</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>  <span class="keywordflow">if</span> (Cass_Origin_Long > 0)</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  {</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_geodetic_coordinates.html">GeodeticCoordinates</a> gcMax( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_type.html#a418b669819e988d0cb43c506beffd8eba49202f41636b7629fc9431e8d1b448d4">CoordinateType::geodetic</a>, Cass_Origin_Long - <a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a>, <a class="code" href="_cassini_8cpp.html#a5a8974be1d1f4082c37a96823c90719e">THIRTY_ONE</a> );</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</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_cassini.html#a069062279297592ff3c31ab0525e7c78">convertFromGeodetic</a>( &gcMax );</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  Cass_Max_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="l00234"></a><span class="lineno"> 234</span>  <span class="keyword">delete</span> tempCoordinates;</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span> </div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_geodetic_coordinates.html">GeodeticCoordinates</a> gcMin( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_type.html#a418b669819e988d0cb43c506beffd8eba49202f41636b7629fc9431e8d1b448d4">CoordinateType::geodetic</a>, Cass_Origin_Long - <a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a>, -<a class="code" href="_cassini_8cpp.html#a5a8974be1d1f4082c37a96823c90719e">THIRTY_ONE</a> );</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  tempCoordinates = <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_cassini.html#a069062279297592ff3c31ab0525e7c78">convertFromGeodetic</a>( &gcMin );</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  Cass_Min_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="l00239"></a><span class="lineno"> 239</span>  <span class="keyword">delete</span> tempCoordinates;</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span> </div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  Cass_Max_Easting = 19926188.9;</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  Cass_Min_Easting = -20037508.4;</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  }</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (Cass_Origin_Long < 0)</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  {</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_geodetic_coordinates.html">GeodeticCoordinates</a> gcMax( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_type.html#a418b669819e988d0cb43c506beffd8eba49202f41636b7629fc9431e8d1b448d4">CoordinateType::geodetic</a>, <a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a> + Cass_Origin_Long, <a class="code" href="_cassini_8cpp.html#a5a8974be1d1f4082c37a96823c90719e">THIRTY_ONE</a> );</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</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_cassini.html#a069062279297592ff3c31ab0525e7c78">convertFromGeodetic</a>( &gcMax );</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  Cass_Max_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="l00249"></a><span class="lineno"> 249</span>  <span class="keyword">delete</span> tempCoordinates;</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span> </div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_geodetic_coordinates.html">GeodeticCoordinates</a> gcMin( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_type.html#a418b669819e988d0cb43c506beffd8eba49202f41636b7629fc9431e8d1b448d4">CoordinateType::geodetic</a>, <a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a> + Cass_Origin_Long, -<a class="code" href="_cassini_8cpp.html#a5a8974be1d1f4082c37a96823c90719e">THIRTY_ONE</a> );</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  tempCoordinates = <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_cassini.html#a069062279297592ff3c31ab0525e7c78">convertFromGeodetic</a>( &gcMin );</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  Cass_Min_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="l00254"></a><span class="lineno"> 254</span>  <span class="keyword">delete</span> tempCoordinates;</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span> </div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  Cass_Max_Easting = 20037508.4;</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  Cass_Min_Easting = -19926188.9;</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  }</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  {</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_geodetic_coordinates.html">GeodeticCoordinates</a> gcMax( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_type.html#a418b669819e988d0cb43c506beffd8eba49202f41636b7629fc9431e8d1b448d4">CoordinateType::geodetic</a>, <a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a>, <a class="code" href="_cassini_8cpp.html#a5a8974be1d1f4082c37a96823c90719e">THIRTY_ONE</a> );</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</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_cassini.html#a069062279297592ff3c31ab0525e7c78">convertFromGeodetic</a>( &gcMax );</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  Cass_Max_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="l00264"></a><span class="lineno"> 264</span>  <span class="keyword">delete</span> tempCoordinates;</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span> </div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_geodetic_coordinates.html">GeodeticCoordinates</a> gcMin( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_type.html#a418b669819e988d0cb43c506beffd8eba49202f41636b7629fc9431e8d1b448d4">CoordinateType::geodetic</a>, <a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a>, -<a class="code" href="_cassini_8cpp.html#a5a8974be1d1f4082c37a96823c90719e">THIRTY_ONE</a> );</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  tempCoordinates = <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_cassini.html#a069062279297592ff3c31ab0525e7c78">convertFromGeodetic</a>( &gcMin );</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  Cass_Min_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="l00269"></a><span class="lineno"> 269</span>  <span class="keyword">delete</span> tempCoordinates;</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> </div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  Cass_Max_Easting = 20037508.4;</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  Cass_Min_Easting = -20037508.4;</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  }</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span> </div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="keywordflow">if</span>(Cass_False_Northing)</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  {</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  Cass_Min_Northing -= Cass_False_Northing;</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  Cass_Max_Northing -= Cass_False_Northing;</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  }</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span> }</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> </div>
<div class="line"><a name="l00283"></a><span class="lineno"><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_cassini.html#ad413d0a68a351dc948e934295af98a8c"> 283</a></span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_cassini.html#a4325b52d84bf165f316490414e172186">Cassini::Cassini</a>( <span class="keyword">const</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_cassini.html">Cassini</a> &c )</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span> {</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#ab4b25504df8abc3fb23b5f03eaf6c14e">semiMajorAxis</a> = c.<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="l00286"></a><span class="lineno"> 286</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#a103abc45b36f0bc52bd992f2d19bbfc6">flattening</a> = c.<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="l00287"></a><span class="lineno"> 287</span>  es2 = c.es2;</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  es4 = c.es4;</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  es6 = c.es6;</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  M0 = c.M0;</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  c0 = c.c0;</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  c1 = c.c1;</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  c2 = c.c2;</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  c3 = c.c3;</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  One_Minus_es2 = c.One_Minus_es2;</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  a0 = c.a0;</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  a1 = c.a1;</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  a2 = c.a2;</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  a3 = c.a3;</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  Cass_Origin_Long = c.Cass_Origin_Long;</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  Cass_Origin_Lat = c.Cass_Origin_Lat;</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  Cass_False_Easting = c.Cass_False_Easting;</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  Cass_False_Northing = c.Cass_False_Northing;</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  Cass_Min_Easting = c.Cass_Min_Easting;</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  Cass_Max_Easting = c.Cass_Max_Easting;</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  Cass_Min_Northing = c.Cass_Min_Northing;</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  Cass_Max_Northing = c.Cass_Max_Northing;</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span> }</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span> </div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span> </div>
<div class="line"><a name="l00311"></a><span class="lineno"><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_cassini.html#af4bc5f21119ea788539ab1748b0b9f14"> 311</a></span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_cassini.html#af4bc5f21119ea788539ab1748b0b9f14">Cassini::~Cassini</a>()</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span> {</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span> }</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span> </div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span> </div>
<div class="line"><a name="l00316"></a><span class="lineno"><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_cassini.html#aa8afffa37892147b51c1325fec97d9c0"> 316</a></span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_cassini.html">Cassini</a>& <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_cassini.html#aa8afffa37892147b51c1325fec97d9c0">Cassini::operator=</a>( <span class="keyword">const</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_cassini.html">Cassini</a> &c )</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">if</span>( <span class="keyword">this</span> != &c )</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>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#ab4b25504df8abc3fb23b5f03eaf6c14e">semiMajorAxis</a> = c.<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="l00321"></a><span class="lineno"> 321</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#a103abc45b36f0bc52bd992f2d19bbfc6">flattening</a> = c.<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="l00322"></a><span class="lineno"> 322</span>  es2 = c.es2;</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  es4 = c.es4;</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  es6 = c.es6;</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  M0 = c.M0;</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  c0 = c.c0;</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  c1 = c.c1;</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  c2 = c.c2;</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  c3 = c.c3;</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  One_Minus_es2 = c.One_Minus_es2;</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  a0 = c.a0;</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  a1 = c.a1;</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  a2 = c.a2;</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  a3 = c.a3;</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  Cass_Origin_Long = c.Cass_Origin_Long;</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  Cass_Origin_Lat = c.Cass_Origin_Lat;</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  Cass_False_Easting = c.Cass_False_Easting;</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  Cass_False_Northing = c.Cass_False_Northing;</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  Cass_Min_Easting = c.Cass_Min_Easting;</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  Cass_Max_Easting = c.Cass_Max_Easting;</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  Cass_Min_Northing = c.Cass_Min_Northing;</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  Cass_Max_Northing = c.Cass_Max_Northing;</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  }</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span> </div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span> }</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span> </div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span> </div>
<div class="line"><a name="l00349"></a><span class="lineno"><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_cassini.html#a3a0ab6ef3ed11ba77e24d7a575dbec42"> 349</a></span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_map_projection4_parameters.html">MapProjection4Parameters</a>* <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_cassini.html#a3a0ab6ef3ed11ba77e24d7a575dbec42">Cassini::getParameters</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span> <span class="comment"> * The function getParameters returns the current ellipsoid</span></div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span> <span class="comment"> * parameters, Cassini projection parameters.</span></div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span> <span class="comment"> * ellipsoidSemiMajorAxis : Semi-major axis of ellipsoid, in meters (output)</span></div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span> <span class="comment"> * ellipsoidFlattening : Flattening of ellipsoid (output)</span></div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span> <span class="comment"> * centralMeridian : Longitude in radians at the center of (output)</span></div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span> <span class="comment"> * the projection</span></div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span> <span class="comment"> * originLatitude : Latitude in radians at which the (output)</span></div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span> <span class="comment"> * point scale factor is 1.0</span></div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span> <span class="comment"> * falseEasting : A coordinate value in meters assigned to the</span></div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span> <span class="comment"> * central meridian of the projection. (output)</span></div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span> <span class="comment"> * falseNorthing : A coordinate value in meters assigned to the</span></div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span> <span class="comment"> * origin latitude of the projection (output)</span></div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span> </div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</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_projection4_parameters.html">MapProjection4Parameters</a>( <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_type.html#a418b669819e988d0cb43c506beffd8eba584526a1b4c0f93c9ae4cbe15ffbecd3">CoordinateType::cassini</a>, Cass_Origin_Long, Cass_Origin_Lat, Cass_False_Easting, Cass_False_Northing );</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> </div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span> </div>
<div class="line"><a name="l00371"></a><span class="lineno"><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_cassini.html#a069062279297592ff3c31ab0525e7c78"> 371</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_cassini.html#a069062279297592ff3c31ab0525e7c78">Cassini::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="l00372"></a><span class="lineno"> 372</span> {</div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span> <span class="comment"> * The function convertFromGeodetic converts geodetic (latitude and</span></div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span> <span class="comment"> * longitude) coordinates to Cassini projection (easting and northing)</span></div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span> <span class="comment"> * coordinates, according to the current ellipsoid and Cassini projection</span></div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span> <span class="comment"> * parameters. If any errors occur, an exception is thrown with a description </span></div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span> <span class="comment"> * of the error.</span></div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span> <span class="comment"> * longitude : Longitude (lambda) in radians (input)</span></div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span> <span class="comment"> * latitude : Latitude (phi) in radians (input)</span></div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span> <span class="comment"> * easting : Easting (X) in meters (output)</span></div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span> <span class="comment"> * northing : Northing (Y) in meters (output)</span></div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span> </div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  <span class="keywordtype">double</span> lat, sin2lat, sin4lat, sin6lat;</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  <span class="keywordtype">double</span> RD;</div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  <span class="keywordtype">double</span> dlam; <span class="comment">/* Longitude - Central Meridan */</span></div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  <span class="keywordtype">double</span> NN;</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  <span class="keywordtype">double</span> TT;</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  <span class="keywordtype">double</span> AA, A2, A3, A4, A5;</div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  <span class="keywordtype">double</span> CC;</div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  <span class="keywordtype">double</span> MM;</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span> </div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</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="l00396"></a><span class="lineno"> 396</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="l00397"></a><span class="lineno"> 397</span>  <span class="keywordtype">double</span> tlat = tan(latitude);</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  <span class="keywordtype">double</span> clat = cos(latitude);</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  <span class="keywordtype">double</span> slat = sin(latitude);</div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span> </div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</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="l00402"></a><span class="lineno"> 402</span>  { <span class="comment">/* Latitude out of range */</span></div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</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="l00404"></a><span class="lineno"> 404</span>  }</div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</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="l00406"></a><span class="lineno"> 406</span>  { <span class="comment">/* Longitude out of range */</span></div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</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="l00408"></a><span class="lineno"> 408</span>  }</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>  dlam = longitude - Cass_Origin_Long;</div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span> </div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  <span class="keywordtype">char</span> warning[100];</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  warning[0] = <span class="charliteral">'\0'</span>;</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  <span class="keywordflow">if</span> (fabs(dlam) > (4.0 * <a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a> / 180))</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  { <span class="comment">/* Distortion results if Longitude is > 4 deg from the Central Meridian */</span></div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  strcat( warning, <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_warning_messages.html#a43a80153485fe8136296c47fcb6f5801">MSP::CCS::WarningMessages::longitude</a> );</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  }</div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span> </div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</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="l00420"></a><span class="lineno"> 420</span>  {</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  dlam -= <a class="code" href="_albers_equal_area_conic_8cpp.html#a820597b124334bf7fb85214114f4876d">TWO_PI</a>;</div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  }</div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</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="l00424"></a><span class="lineno"> 424</span>  {</div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  dlam += <a class="code" href="_albers_equal_area_conic_8cpp.html#a820597b124334bf7fb85214114f4876d">TWO_PI</a>;</div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  }</div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  RD = cassRd( slat );</div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  NN = <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#ab4b25504df8abc3fb23b5f03eaf6c14e">semiMajorAxis</a> / RD;</div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  TT = tlat * tlat;</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  AA = dlam * clat;</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  A2 = AA * AA;</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  A3 = AA * A2;</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  A4 = AA * A3;</div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  A5 = AA * A4;</div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  CC = es2 * clat * clat / One_Minus_es2;</div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  lat = c0 * latitude;</div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  sin2lat = <a class="code" href="_cassini_8cpp.html#a413191d8088c11f27bdc5fe926890da5">cassCoeffTimesSine</a>(c1, 2.0, latitude);</div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  sin4lat = <a class="code" href="_cassini_8cpp.html#a413191d8088c11f27bdc5fe926890da5">cassCoeffTimesSine</a>(c2, 4.0, latitude);</div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  sin6lat = <a class="code" href="_cassini_8cpp.html#a413191d8088c11f27bdc5fe926890da5">cassCoeffTimesSine</a>(c3, 6.0, latitude);</div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  MM = cassM( lat, sin2lat, sin4lat, sin6lat );</div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span> </div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  <span class="keywordtype">double</span> easting = NN * (AA - (TT * A3 / 6.0) - (8.0 - TT + 8.0 * CC) *</div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  (TT * A5 / 120.0)) + Cass_False_Easting;</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  <span class="keywordtype">double</span> northing = MM - M0 + NN * tlat * ((A2 / 2.0) + (5.0 - TT +</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  6.0 * CC) * A4 / 24.0) + Cass_False_Northing;</div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span> </div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</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>(</div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_type.html#a418b669819e988d0cb43c506beffd8eba584526a1b4c0f93c9ae4cbe15ffbecd3">CoordinateType::cassini</a>, warning, easting, northing );</div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span> }</div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span> </div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span> </div>
<div class="line"><a name="l00452"></a><span class="lineno"><a class="code" href="class_m_s_p_1_1_c_c_s_1_1_cassini.html#a0c06cdbf0ec8726e16ebf5da2ccc1898"> 452</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_cassini.html#a0c06cdbf0ec8726e16ebf5da2ccc1898">Cassini::convertToGeodetic</a>(</div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  <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="l00454"></a><span class="lineno"> 454</span> {</div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span> <span class="comment"> * The function convertToGeodetic converts Cassini projection</span></div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span> <span class="comment"> * (easting and northing) coordinates to geodetic (latitude and longitude)</span></div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span> <span class="comment"> * coordinates, according to the current ellipsoid and Cassini projection</span></div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span> <span class="comment"> * coordinates. If any errors occur, an exception is thrown with a description </span></div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span> <span class="comment"> * of the error.</span></div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span> <span class="comment"> * easting : Easting (X) in meters (input)</span></div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span> <span class="comment"> * northing : Northing (Y) in meters (input)</span></div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span> <span class="comment"> * longitude : Longitude (lambda) in radians (output)</span></div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span> <span class="comment"> * latitude : Latitude (phi) in radians (output)</span></div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span> </div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  <span class="keywordtype">double</span> dx; <span class="comment">/* Delta easting - Difference in easting (easting-FE) */</span></div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  <span class="keywordtype">double</span> dy; <span class="comment">/* Delta northing - Difference in northing (northing-FN) */</span></div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  <span class="keywordtype">double</span> mu1;</div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  <span class="keywordtype">double</span> sin2mu, sin4mu, sin6mu, sin8mu;</div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  <span class="keywordtype">double</span> M1;</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  <span class="keywordtype">double</span> phi1;</div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  <span class="keywordtype">double</span> tanphi1, sinphi1, cosphi1;</div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  <span class="keywordtype">double</span> T1, T;</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  <span class="keywordtype">double</span> N1;</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  <span class="keywordtype">double</span> RD, R1;</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  <span class="keywordtype">double</span> DD, D2, D3, D4, D5;</div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> epsilon = 1.0e-1;</div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  <span class="keywordtype">double</span> longitude, latitude;</div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span> </div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</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="l00483"></a><span class="lineno"> 483</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="l00484"></a><span class="lineno"> 484</span> </div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  <span class="keywordflow">if</span> ((easting < (Cass_False_Easting + Cass_Min_Easting))</div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  || (easting > (Cass_False_Easting + Cass_Max_Easting)))</div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  { <span class="comment">/* Easting out of range */</span></div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</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="l00489"></a><span class="lineno"> 489</span>  }</div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  <span class="keywordflow">if</span> ((northing < (Cass_False_Northing + Cass_Min_Northing - epsilon))</div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  || (northing > (Cass_False_Northing + Cass_Max_Northing + epsilon)))</div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  { <span class="comment">/* Northing out of range */</span></div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</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="l00494"></a><span class="lineno"> 494</span>  }</div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span> </div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  dy = northing - Cass_False_Northing;</div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  dx = easting - Cass_False_Easting;</div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>  M1 = M0 + dy;</div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  mu1 = M1 / (<a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#ab4b25504df8abc3fb23b5f03eaf6c14e">semiMajorAxis</a> * c0);</div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span> </div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  sin2mu = <a class="code" href="_cassini_8cpp.html#a413191d8088c11f27bdc5fe926890da5">cassCoeffTimesSine</a>(a0, 2.0, mu1);</div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  sin4mu = <a class="code" href="_cassini_8cpp.html#a413191d8088c11f27bdc5fe926890da5">cassCoeffTimesSine</a>(a1, 4.0, mu1);</div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  sin6mu = <a class="code" href="_cassini_8cpp.html#a413191d8088c11f27bdc5fe926890da5">cassCoeffTimesSine</a>(a2, 6.0, mu1);</div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  sin8mu = <a class="code" href="_cassini_8cpp.html#a413191d8088c11f27bdc5fe926890da5">cassCoeffTimesSine</a>(a3, 8.0, mu1);</div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  phi1 = mu1 + sin2mu + sin4mu + sin6mu + sin8mu;</div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span> </div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  <span class="keywordflow">if</span> (floatEq(phi1,<a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>,.00001))</div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  {</div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  latitude = <a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>;</div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  longitude = Cass_Origin_Long;</div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  }</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (floatEq(phi1,-<a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>,.00001))</div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  {</div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  latitude = -<a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>;</div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  longitude = Cass_Origin_Long;</div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  }</div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  {</div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  tanphi1 = tan(phi1);</div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  sinphi1 = sin(phi1);</div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  cosphi1 = cos(phi1);</div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  T1 = tanphi1 * tanphi1;</div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  RD = cassRd( sinphi1 );</div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  N1 = <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#ab4b25504df8abc3fb23b5f03eaf6c14e">semiMajorAxis</a> / RD;</div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  R1 = N1 * One_Minus_es2 / (RD * RD);</div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  DD = dx / N1;</div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  D2 = DD * DD;</div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  D3 = D2 * DD;</div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  D4 = D3 * DD;</div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  D5 = D4 * DD;</div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  T = (1.0 + 3.0 * T1);</div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  latitude = phi1 - (N1 * tanphi1 / R1) * (D2 / 2.0 - T * D4 / 24.0);</div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span> </div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>  longitude = Cass_Origin_Long + (DD - T1 * D3 / 3.0 + T * T1 * D5 / 15.0) / cosphi1;</div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span> </div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</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="l00537"></a><span class="lineno"> 537</span>  latitude = <a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>;</div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</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="l00539"></a><span class="lineno"> 539</span>  latitude = -<a class="code" href="_m_g_r_s_8cpp.html#a27d2bea15134ae7c7f7a2d11379bde53">PI_OVER_2</a>;</div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span> </div>
<div class="line"><a name="l00541"></a><span class="lineno"> 541</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="l00542"></a><span class="lineno"> 542</span>  longitude -= <a class="code" href="_albers_equal_area_conic_8cpp.html#a820597b124334bf7fb85214114f4876d">TWO_PI</a>;</div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</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="l00544"></a><span class="lineno"> 544</span>  longitude += <a class="code" href="_albers_equal_area_conic_8cpp.html#a820597b124334bf7fb85214114f4876d">TWO_PI</a>;</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>  <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="l00547"></a><span class="lineno"> 547</span>  longitude = <a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a>;</div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</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="l00549"></a><span class="lineno"> 549</span>  longitude = -<a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a>;</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> </div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  <span class="keywordtype">char</span> warning[100];</div>
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  warning[0] = <span class="charliteral">'\0'</span>;</div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  <span class="keywordflow">if</span> (fabs(longitude - Cass_Origin_Long) > (4.0 * <a class="code" href="_m_g_r_s_8cpp.html#a598a3330b3c21701223ee0ca14316eca">PI</a> / 180))</div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  { <span class="comment">/* Distortion results if Longitude is > 4 degr from the Central Meridian */</span></div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  strcat( warning, <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_warning_messages.html#a43a80153485fe8136296c47fcb6f5801">MSP::CCS::WarningMessages::longitude</a> );</div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  }</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>  <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="l00560"></a><span class="lineno"> 560</span>  <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_type.html#a418b669819e988d0cb43c506beffd8eba49202f41636b7629fc9431e8d1b448d4">CoordinateType::geodetic</a>, warning, longitude, latitude );</div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span> }</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> </div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span> <span class="keywordtype">double</span> Cassini::cassM(</div>
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  <span class="keywordtype">double</span> c0lat, <span class="keywordtype">double</span> c1s2lat, <span class="keywordtype">double</span> c2s4lat, <span class="keywordtype">double</span> c3s6lat )</div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span> {</div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  <span class="keywordflow">return</span> <a class="code" href="class_m_s_p_1_1_c_c_s_1_1_coordinate_system.html#ab4b25504df8abc3fb23b5f03eaf6c14e">semiMajorAxis</a>*(c0lat-c1s2lat+c2s4lat-c3s6lat);</div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span> }</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> </div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span> <span class="keywordtype">double</span> Cassini::cassRd( <span class="keywordtype">double</span> sinlat )</div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span> {</div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  <span class="keywordflow">return</span> sqrt(1.0 - es2 * (sinlat * sinlat));</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> </div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span> <span class="keywordtype">double</span> Cassini::floatEq( <span class="keywordtype">double</span> x, <span class="keywordtype">double</span> v, <span class="keywordtype">double</span> epsilon )</div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span> {</div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  <span class="keywordflow">return</span> ((v - epsilon) < x) && (x < (v + epsilon));</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> </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> </div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span> <span class="comment">// CLASSIFICATION: UNCLASSIFIED</span></div>
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