| 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) 2013-2017, 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) 2013-2017, 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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