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| 1 |  |  |  |  |  |  | #include "erfa.h" | 
| 2 |  |  |  |  |  |  |  | 
| 3 | 11 |  |  |  |  |  | int eraGd2gce ( double a, double f, double elong, double phi, | 
| 4 |  |  |  |  |  |  | double height, double xyz[3] ) | 
| 5 |  |  |  |  |  |  | /* | 
| 6 |  |  |  |  |  |  | **  - - - - - - - - - - | 
| 7 |  |  |  |  |  |  | **   e r a G d 2 g c e | 
| 8 |  |  |  |  |  |  | **  - - - - - - - - - - | 
| 9 |  |  |  |  |  |  | ** | 
| 10 |  |  |  |  |  |  | **  Transform geodetic coordinates to geocentric for a reference | 
| 11 |  |  |  |  |  |  | **  ellipsoid of specified form. | 
| 12 |  |  |  |  |  |  | ** | 
| 13 |  |  |  |  |  |  | **  Given: | 
| 14 |  |  |  |  |  |  | **     a       double     equatorial radius (Notes 1,4) | 
| 15 |  |  |  |  |  |  | **     f       double     flattening (Notes 2,4) | 
| 16 |  |  |  |  |  |  | **     elong   double     longitude (radians, east +ve) | 
| 17 |  |  |  |  |  |  | **     phi     double     latitude (geodetic, radians, Note 4) | 
| 18 |  |  |  |  |  |  | **     height  double     height above ellipsoid (geodetic, Notes 3,4) | 
| 19 |  |  |  |  |  |  | ** | 
| 20 |  |  |  |  |  |  | **  Returned: | 
| 21 |  |  |  |  |  |  | **     xyz     double[3]  geocentric vector (Note 3) | 
| 22 |  |  |  |  |  |  | ** | 
| 23 |  |  |  |  |  |  | **  Returned (function value): | 
| 24 |  |  |  |  |  |  | **             int        status:  0 = OK | 
| 25 |  |  |  |  |  |  | **                                -1 = illegal case (Note 4) | 
| 26 |  |  |  |  |  |  | **  Notes: | 
| 27 |  |  |  |  |  |  | ** | 
| 28 |  |  |  |  |  |  | **  1) The equatorial radius, a, can be in any units, but meters is | 
| 29 |  |  |  |  |  |  | **     the conventional choice. | 
| 30 |  |  |  |  |  |  | ** | 
| 31 |  |  |  |  |  |  | **  2) The flattening, f, is (for the Earth) a value around 0.00335, | 
| 32 |  |  |  |  |  |  | **     i.e. around 1/298. | 
| 33 |  |  |  |  |  |  | ** | 
| 34 |  |  |  |  |  |  | **  3) The equatorial radius, a, and the height, height, must be | 
| 35 |  |  |  |  |  |  | **     given in the same units, and determine the units of the | 
| 36 |  |  |  |  |  |  | **     returned geocentric vector, xyz. | 
| 37 |  |  |  |  |  |  | ** | 
| 38 |  |  |  |  |  |  | **  4) No validation is performed on individual arguments.  The error | 
| 39 |  |  |  |  |  |  | **     status -1 protects against (unrealistic) cases that would lead | 
| 40 |  |  |  |  |  |  | **     to arithmetic exceptions.  If an error occurs, xyz is unchanged. | 
| 41 |  |  |  |  |  |  | ** | 
| 42 |  |  |  |  |  |  | **  5) The inverse transformation is performed in the function | 
| 43 |  |  |  |  |  |  | **     eraGc2gde. | 
| 44 |  |  |  |  |  |  | ** | 
| 45 |  |  |  |  |  |  | **  6) The transformation for a standard ellipsoid (such as ERFA_WGS84) can | 
| 46 |  |  |  |  |  |  | **     more conveniently be performed by calling eraGd2gc,  which uses a | 
| 47 |  |  |  |  |  |  | **     numerical code to identify the required a and f values. | 
| 48 |  |  |  |  |  |  | ** | 
| 49 |  |  |  |  |  |  | **  References: | 
| 50 |  |  |  |  |  |  | ** | 
| 51 |  |  |  |  |  |  | **     Green, R.M., Spherical Astronomy, Cambridge University Press, | 
| 52 |  |  |  |  |  |  | **     (1985) Section 4.5, p96. | 
| 53 |  |  |  |  |  |  | ** | 
| 54 |  |  |  |  |  |  | **     Explanatory Supplement to the Astronomical Almanac, | 
| 55 |  |  |  |  |  |  | **     P. Kenneth Seidelmann (ed), University Science Books (1992), | 
| 56 |  |  |  |  |  |  | **     Section 4.22, p202. | 
| 57 |  |  |  |  |  |  | ** | 
| 58 |  |  |  |  |  |  | **  Copyright (C) 2013-2019, NumFOCUS Foundation. | 
| 59 |  |  |  |  |  |  | **  Derived, with permission, from the SOFA library.  See notes at end of file. | 
| 60 |  |  |  |  |  |  | */ | 
| 61 |  |  |  |  |  |  | { | 
| 62 |  |  |  |  |  |  | double sp, cp, w, d, ac, as, r; | 
| 63 |  |  |  |  |  |  |  | 
| 64 |  |  |  |  |  |  |  | 
| 65 |  |  |  |  |  |  | /* Functions of geodetic latitude. */ | 
| 66 | 11 |  |  |  |  |  | sp = sin(phi); | 
| 67 | 11 |  |  |  |  |  | cp = cos(phi); | 
| 68 | 11 |  |  |  |  |  | w = 1.0 - f; | 
| 69 | 11 |  |  |  |  |  | w = w * w; | 
| 70 | 11 |  |  |  |  |  | d = cp*cp + w*sp*sp; | 
| 71 | 11 | 50 |  |  |  |  | if ( d <= 0.0 ) return -1; | 
| 72 | 11 |  |  |  |  |  | ac = a / sqrt(d); | 
| 73 | 11 |  |  |  |  |  | as = w * ac; | 
| 74 |  |  |  |  |  |  |  | 
| 75 |  |  |  |  |  |  | /* Geocentric vector. */ | 
| 76 | 11 |  |  |  |  |  | r = (ac + height) * cp; | 
| 77 | 11 |  |  |  |  |  | xyz[0] = r * cos(elong); | 
| 78 | 11 |  |  |  |  |  | xyz[1] = r * sin(elong); | 
| 79 | 11 |  |  |  |  |  | xyz[2] = (as + height) * sp; | 
| 80 |  |  |  |  |  |  |  | 
| 81 |  |  |  |  |  |  | /* Success. */ | 
| 82 | 11 |  |  |  |  |  | return 0; | 
| 83 |  |  |  |  |  |  |  | 
| 84 |  |  |  |  |  |  | } | 
| 85 |  |  |  |  |  |  | /*---------------------------------------------------------------------- | 
| 86 |  |  |  |  |  |  | ** | 
| 87 |  |  |  |  |  |  | ** | 
| 88 |  |  |  |  |  |  | **  Copyright (C) 2013-2019, NumFOCUS Foundation. | 
| 89 |  |  |  |  |  |  | **  All rights reserved. | 
| 90 |  |  |  |  |  |  | ** | 
| 91 |  |  |  |  |  |  | **  This library is derived, with permission, from the International | 
| 92 |  |  |  |  |  |  | **  Astronomical Union's "Standards of Fundamental Astronomy" library, | 
| 93 |  |  |  |  |  |  | **  available from http://www.iausofa.org. | 
| 94 |  |  |  |  |  |  | ** | 
| 95 |  |  |  |  |  |  | **  The ERFA version is intended to retain identical functionality to | 
| 96 |  |  |  |  |  |  | **  the SOFA library, but made distinct through different function and | 
| 97 |  |  |  |  |  |  | **  file names, as set out in the SOFA license conditions.  The SOFA | 
| 98 |  |  |  |  |  |  | **  original has a role as a reference standard for the IAU and IERS, | 
| 99 |  |  |  |  |  |  | **  and consequently redistribution is permitted only in its unaltered | 
| 100 |  |  |  |  |  |  | **  state.  The ERFA version is not subject to this restriction and | 
| 101 |  |  |  |  |  |  | **  therefore can be included in distributions which do not support the | 
| 102 |  |  |  |  |  |  | **  concept of "read only" software. | 
| 103 |  |  |  |  |  |  | ** | 
| 104 |  |  |  |  |  |  | **  Although the intent is to replicate the SOFA API (other than | 
| 105 |  |  |  |  |  |  | **  replacement of prefix names) and results (with the exception of | 
| 106 |  |  |  |  |  |  | **  bugs;  any that are discovered will be fixed), SOFA is not | 
| 107 |  |  |  |  |  |  | **  responsible for any errors found in this version of the library. | 
| 108 |  |  |  |  |  |  | ** | 
| 109 |  |  |  |  |  |  | **  If you wish to acknowledge the SOFA heritage, please acknowledge | 
| 110 |  |  |  |  |  |  | **  that you are using a library derived from SOFA, rather than SOFA | 
| 111 |  |  |  |  |  |  | **  itself. | 
| 112 |  |  |  |  |  |  | ** | 
| 113 |  |  |  |  |  |  | ** | 
| 114 |  |  |  |  |  |  | **  TERMS AND CONDITIONS | 
| 115 |  |  |  |  |  |  | ** | 
| 116 |  |  |  |  |  |  | **  Redistribution and use in source and binary forms, with or without | 
| 117 |  |  |  |  |  |  | **  modification, are permitted provided that the following conditions | 
| 118 |  |  |  |  |  |  | **  are met: | 
| 119 |  |  |  |  |  |  | ** | 
| 120 |  |  |  |  |  |  | **  1 Redistributions of source code must retain the above copyright | 
| 121 |  |  |  |  |  |  | **    notice, this list of conditions and the following disclaimer. | 
| 122 |  |  |  |  |  |  | ** | 
| 123 |  |  |  |  |  |  | **  2 Redistributions in binary form must reproduce the above copyright | 
| 124 |  |  |  |  |  |  | **    notice, this list of conditions and the following disclaimer in | 
| 125 |  |  |  |  |  |  | **    the documentation and/or other materials provided with the | 
| 126 |  |  |  |  |  |  | **    distribution. | 
| 127 |  |  |  |  |  |  | ** | 
| 128 |  |  |  |  |  |  | **  3 Neither the name of the Standards Of Fundamental Astronomy Board, | 
| 129 |  |  |  |  |  |  | **    the International Astronomical Union nor the names of its | 
| 130 |  |  |  |  |  |  | **    contributors may be used to endorse or promote products derived | 
| 131 |  |  |  |  |  |  | **    from this software without specific prior written permission. | 
| 132 |  |  |  |  |  |  | ** | 
| 133 |  |  |  |  |  |  | **  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | 
| 134 |  |  |  |  |  |  | **  "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | 
| 135 |  |  |  |  |  |  | **  LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS | 
| 136 |  |  |  |  |  |  | **  FOR A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE | 
| 137 |  |  |  |  |  |  | **  COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, | 
| 138 |  |  |  |  |  |  | **  INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, | 
| 139 |  |  |  |  |  |  | **  BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | 
| 140 |  |  |  |  |  |  | **  LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER | 
| 141 |  |  |  |  |  |  | **  CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT | 
| 142 |  |  |  |  |  |  | **  LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN | 
| 143 |  |  |  |  |  |  | **  ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE | 
| 144 |  |  |  |  |  |  | **  POSSIBILITY OF SUCH DAMAGE. | 
| 145 |  |  |  |  |  |  | ** | 
| 146 |  |  |  |  |  |  | */ |