1 | #include "erfa.h"
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2 |
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3 | int eraGd2gce ( double a, double f, double elong, double phi,
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4 | double height, double xyz[3] )
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5 | /*
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6 | ** - - - - - - - - - -
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7 | ** e r a G d 2 g c e
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8 | ** - - - - - - - - - -
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9 | **
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10 | ** Transform geodetic coordinates to geocentric for a reference
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11 | ** ellipsoid of specified form.
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12 | **
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13 | ** Given:
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14 | ** a double equatorial radius (Notes 1,4)
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15 | ** f double flattening (Notes 2,4)
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16 | ** elong double longitude (radians, east +ve)
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17 | ** phi double latitude (geodetic, radians, Note 4)
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18 | ** height double height above ellipsoid (geodetic, Notes 3,4)
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19 | **
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20 | ** Returned:
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21 | ** xyz double[3] geocentric vector (Note 3)
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22 | **
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23 | ** Returned (function value):
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24 | ** int status: 0 = OK
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25 | ** -1 = illegal case (Note 4)
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26 | ** Notes:
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27 | **
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28 | ** 1) The equatorial radius, a, can be in any units, but meters is
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29 | ** the conventional choice.
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30 | **
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31 | ** 2) The flattening, f, is (for the Earth) a value around 0.00335,
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32 | ** i.e. around 1/298.
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33 | **
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34 | ** 3) The equatorial radius, a, and the height, height, must be
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35 | ** given in the same units, and determine the units of the
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36 | ** returned geocentric vector, xyz.
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37 | **
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38 | ** 4) No validation is performed on individual arguments. The error
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39 | ** status -1 protects against (unrealistic) cases that would lead
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40 | ** to arithmetic exceptions. If an error occurs, xyz is unchanged.
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41 | **
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42 | ** 5) The inverse transformation is performed in the function
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43 | ** eraGc2gde.
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44 | **
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45 | ** 6) The transformation for a standard ellipsoid (such as ERFA_WGS84) can
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46 | ** more conveniently be performed by calling eraGd2gc, which uses a
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47 | ** numerical code to identify the required a and f values.
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48 | **
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49 | ** References:
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50 | **
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51 | ** Green, R.M., Spherical Astronomy, Cambridge University Press,
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52 | ** (1985) Section 4.5, p96.
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53 | **
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54 | ** Explanatory Supplement to the Astronomical Almanac,
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55 | ** P. Kenneth Seidelmann (ed), University Science Books (1992),
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56 | ** Section 4.22, p202.
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57 | **
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58 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
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59 | ** Derived, with permission, from the SOFA library. See notes at end of file.
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60 | */
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61 | {
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62 | double sp, cp, w, d, ac, as, r;
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63 |
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64 |
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65 | /* Functions of geodetic latitude. */
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66 | sp = sin(phi);
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67 | cp = cos(phi);
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68 | w = 1.0 - f;
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69 | w = w * w;
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70 | d = cp*cp + w*sp*sp;
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71 | if ( d <= 0.0 ) return -1;
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72 | ac = a / sqrt(d);
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73 | as = w * ac;
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74 |
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75 | /* Geocentric vector. */
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76 | r = (ac + height) * cp;
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77 | xyz[0] = r * cos(elong);
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78 | xyz[1] = r * sin(elong);
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79 | xyz[2] = (as + height) * sp;
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80 |
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81 | /* Success. */
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82 | return 0;
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83 |
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84 | }
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85 | /*----------------------------------------------------------------------
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86 | **
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87 | **
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88 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
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89 | ** All rights reserved.
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90 | **
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91 | ** This library is derived, with permission, from the International
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92 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
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93 | ** available from http://www.iausofa.org.
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94 | **
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95 | ** The ERFA version is intended to retain identical functionality to
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96 | ** the SOFA library, but made distinct through different function and
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97 | ** file names, as set out in the SOFA license conditions. The SOFA
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98 | ** original has a role as a reference standard for the IAU and IERS,
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99 | ** and consequently redistribution is permitted only in its unaltered
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100 | ** state. The ERFA version is not subject to this restriction and
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101 | ** therefore can be included in distributions which do not support the
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102 | ** concept of "read only" software.
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103 | **
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104 | ** Although the intent is to replicate the SOFA API (other than
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105 | ** replacement of prefix names) and results (with the exception of
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106 | ** bugs; any that are discovered will be fixed), SOFA is not
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107 | ** responsible for any errors found in this version of the library.
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108 | **
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109 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
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110 | ** that you are using a library derived from SOFA, rather than SOFA
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111 | ** itself.
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112 | **
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113 | **
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114 | ** TERMS AND CONDITIONS
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115 | **
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116 | ** Redistribution and use in source and binary forms, with or without
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117 | ** modification, are permitted provided that the following conditions
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118 | ** are met:
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119 | **
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120 | ** 1 Redistributions of source code must retain the above copyright
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121 | ** notice, this list of conditions and the following disclaimer.
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122 | **
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123 | ** 2 Redistributions in binary form must reproduce the above copyright
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124 | ** notice, this list of conditions and the following disclaimer in
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125 | ** the documentation and/or other materials provided with the
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126 | ** distribution.
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127 | **
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128 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
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129 | ** the International Astronomical Union nor the names of its
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130 | ** contributors may be used to endorse or promote products derived
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131 | ** from this software without specific prior written permission.
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132 | **
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133 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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134 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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135 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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136 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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137 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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138 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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139 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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140 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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141 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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142 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
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143 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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144 | ** POSSIBILITY OF SUCH DAMAGE.
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145 | **
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146 | */
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