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+#include "erfa.h"
+
+void eraLtpb(double epj, double rpb[3][3])
+/*
+** - - - - - - - -
+** e r a L t p b
+** - - - - - - - -
+**
+** Long-term precession matrix, including ICRS frame bias.
+**
+** Given:
+** epj double Julian epoch (TT)
+**
+** Returned:
+** rpb double[3][3] precession-bias matrix, J2000.0 to date
+**
+** Notes:
+**
+** 1) The matrix is in the sense
+**
+** P_date = rpb x P_ICRS,
+**
+** where P_ICRS is a vector in the Geocentric Celestial Reference
+** System, and P_date is the vector with respect to the Celestial
+** Intermediate Reference System at that date but with nutation
+** neglected.
+**
+** 2) A first order frame bias formulation is used, of sub-
+** microarcsecond accuracy compared with a full 3D rotation.
+**
+** 3) The Vondrak et al. (2011, 2012) 400 millennia precession model
+** agrees with the IAU 2006 precession at J2000.0 and stays within
+** 100 microarcseconds during the 20th and 21st centuries. It is
+** accurate to a few arcseconds throughout the historical period,
+** worsening to a few tenths of a degree at the end of the
+** +/- 200,000 year time span.
+**
+** References:
+**
+** Vondrak, J., Capitaine, N. and Wallace, P., 2011, New precession
+** expressions, valid for long time intervals, Astron.Astrophys. 534,
+** A22
+**
+** Vondrak, J., Capitaine, N. and Wallace, P., 2012, New precession
+** expressions, valid for long time intervals (Corrigendum),
+** Astron.Astrophys. 541, C1
+**
+** Copyright (C) 2013-2016, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Frame bias (IERS Conventions 2010, Eqs. 5.21 and 5.33) */
+ const double dx = -0.016617 * ERFA_DAS2R,
+ de = -0.0068192 * ERFA_DAS2R,
+ dr = -0.0146 * ERFA_DAS2R;
+
+ int i;
+ double rp[3][3];
+
+
+/* Precession matrix. */
+ eraLtp(epj, rp);
+
+/* Apply the bias. */
+ for ( i = 0; i < 3; i++ ) {
+ rpb[i][0] = rp[i][0] - rp[i][1]*dr + rp[i][2]*dx;
+ rpb[i][1] = rp[i][0]*dr + rp[i][1] + rp[i][2]*de;
+ rpb[i][2] = -rp[i][0]*dx - rp[i][1]*de + rp[i][2];
+ }
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** 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.
+**
+*/