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#include "erfa.h" |
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int eraGd2gce ( double a, double f, double elong, double phi, |
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double height, double xyz[3] ) |
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/* |
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** - - - - - - - - - - |
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** e r a G d 2 g c e |
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** - - - - - - - - - - |
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** |
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** Transform geodetic coordinates to geocentric for a reference |
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** ellipsoid of specified form. |
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** |
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** Given: |
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** a double equatorial radius (Notes 1,4) |
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** f double flattening (Notes 2,4) |
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** elong double longitude (radians, east +ve) |
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** phi double latitude (geodetic, radians, Note 4) |
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** height double height above ellipsoid (geodetic, Notes 3,4) |
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** |
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** Returned: |
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** xyz double[3] geocentric vector (Note 3) |
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** |
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** Returned (function value): |
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** int status: 0 = OK |
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** -1 = illegal case (Note 4) |
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** Notes: |
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** |
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** 1) The equatorial radius, a, can be in any units, but meters is |
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** the conventional choice. |
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** |
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** 2) The flattening, f, is (for the Earth) a value around 0.00335, |
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** i.e. around 1/298. |
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** |
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** 3) The equatorial radius, a, and the height, height, must be |
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** given in the same units, and determine the units of the |
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** returned geocentric vector, xyz. |
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** |
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** 4) No validation is performed on individual arguments. The error |
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** status -1 protects against (unrealistic) cases that would lead |
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** to arithmetic exceptions. If an error occurs, xyz is unchanged. |
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** |
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** 5) The inverse transformation is performed in the function |
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** eraGc2gde. |
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** |
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** 6) The transformation for a standard ellipsoid (such as ERFA_WGS84) can |
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** more conveniently be performed by calling eraGd2gc, which uses a |
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** numerical code to identify the required a and f values. |
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** |
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** References: |
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** |
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** Green, R.M., Spherical Astronomy, Cambridge University Press, |
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** (1985) Section 4.5, p96. |
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** |
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** Explanatory Supplement to the Astronomical Almanac, |
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** P. Kenneth Seidelmann (ed), University Science Books (1992), |
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** Section 4.22, p202. |
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** |
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** Copyright (C) 2013-2020, NumFOCUS Foundation. |
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** Derived, with permission, from the SOFA library. See notes at end of file. |
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*/ |
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{ |
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double sp, cp, w, d, ac, as, r; |
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/* Functions of geodetic latitude. */ |
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sp = sin(phi); |
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cp = cos(phi); |
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w = 1.0 - f; |
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w = w * w; |
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d = cp*cp + w*sp*sp; |
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if ( d <= 0.0 ) return -1; |
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ac = a / sqrt(d); |
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as = w * ac; |
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/* Geocentric vector. */ |
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r = (ac + height) * cp; |
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xyz[0] = r * cos(elong); |
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xyz[1] = r * sin(elong); |
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xyz[2] = (as + height) * sp; |
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81
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/* Success. */ |
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return 0; |
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84
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} |
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/*---------------------------------------------------------------------- |
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** |
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** |
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** Copyright (C) 2013-2020, NumFOCUS Foundation. |
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** All rights reserved. |
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** |
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** This library is derived, with permission, from the International |
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** Astronomical Union's "Standards of Fundamental Astronomy" library, |
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** available from http://www.iausofa.org. |
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** |
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** The ERFA version is intended to retain identical functionality to |
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** the SOFA library, but made distinct through different function and |
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** file names, as set out in the SOFA license conditions. The SOFA |
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** original has a role as a reference standard for the IAU and IERS, |
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** and consequently redistribution is permitted only in its unaltered |
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** state. The ERFA version is not subject to this restriction and |
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** therefore can be included in distributions which do not support the |
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** concept of "read only" software. |
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** |
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** Although the intent is to replicate the SOFA API (other than |
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** replacement of prefix names) and results (with the exception of |
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** bugs; any that are discovered will be fixed), SOFA is not |
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** responsible for any errors found in this version of the library. |
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** |
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** If you wish to acknowledge the SOFA heritage, please acknowledge |
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** that you are using a library derived from SOFA, rather than SOFA |
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** itself. |
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** |
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** |
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** TERMS AND CONDITIONS |
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** |
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** Redistribution and use in source and binary forms, with or without |
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** modification, are permitted provided that the following conditions |
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** are met: |
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** |
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** 1 Redistributions of source code must retain the above copyright |
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** notice, this list of conditions and the following disclaimer. |
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** |
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** 2 Redistributions in binary form must reproduce the above copyright |
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** notice, this list of conditions and the following disclaimer in |
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** the documentation and/or other materials provided with the |
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** distribution. |
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** |
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** 3 Neither the name of the Standards Of Fundamental Astronomy Board, |
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** the International Astronomical Union nor the names of its |
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** contributors may be used to endorse or promote products derived |
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** from this software without specific prior written permission. |
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** |
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** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
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** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
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** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
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** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
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** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
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** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
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** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
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** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
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** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
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** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
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** POSSIBILITY OF SUCH DAMAGE. |
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** |
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*/ |