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+#include "erfa.h"
+
+void eraAb(double pnat[3], double v[3], double s, double bm1,
+ double ppr[3])
+/*
+** - - - - - -
+** e r a A b
+** - - - - - -
+**
+** Apply aberration to transform natural direction into proper
+** direction.
+**
+** Given:
+** pnat double[3] natural direction to the source (unit vector)
+** v double[3] observer barycentric velocity in units of c
+** s double distance between the Sun and the observer (au)
+** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
+**
+** Returned:
+** ppr double[3] proper direction to source (unit vector)
+**
+** Notes:
+**
+** 1) The algorithm is based on Expr. (7.40) in the Explanatory
+** Supplement (Urban & Seidelmann 2013), but with the following
+** changes:
+**
+** o Rigorous rather than approximate normalization is applied.
+**
+** o The gravitational potential term from Expr. (7) in
+** Klioner (2003) is added, taking into account only the Sun's
+** contribution. This has a maximum effect of about
+** 0.4 microarcsecond.
+**
+** 2) In almost all cases, the maximum accuracy will be limited by the
+** supplied velocity. For example, if the ERFA eraEpv00 function is
+** used, errors of up to 5 microarcseconds could occur.
+**
+** References:
+**
+** Urban, S. & Seidelmann, P. K. (eds), Explanatory Supplement to
+** the Astronomical Almanac, 3rd ed., University Science Books
+** (2013).
+**
+** Klioner, Sergei A., "A practical relativistic model for micro-
+** arcsecond astrometry in space", Astr. J. 125, 1580-1597 (2003).
+**
+** Called:
+** eraPdp scalar product of two p-vectors
+**
+** Copyright (C) 2013-2016, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int i;
+ double pdv, w1, w2, r2, w, p[3], r;
+
+
+ pdv = eraPdp(pnat, v);
+ w1 = 1.0 + pdv/(1.0 + bm1);
+ w2 = ERFA_SRS/s;
+ r2 = 0.0;
+ for (i = 0; i < 3; i++) {
+ w = pnat[i]*bm1 + w1*v[i] + w2*(v[i] - pdv*pnat[i]);
+ p[i] = w;
+ r2 = r2 + w*w;
+ }
+ r = sqrt(r2);
+ for (i = 0; i < 3; i++) {
+ ppr[i] = p[i]/r;
+ }
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2016, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/