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+#include "erfa.h"
+
+void eraNut80(double date1, double date2, double *dpsi, double *deps)
+/*
+** - - - - - - - - -
+** e r a N u t 8 0
+** - - - - - - - - -
+**
+** Nutation, IAU 1980 model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** dpsi double nutation in longitude (radians)
+** deps double nutation in obliquity (radians)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The nutation components are with respect to the ecliptic of
+** date.
+**
+** Called:
+** eraAnpm normalize angle into range +/- pi
+**
+** Reference:
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992),
+** Section 3.222 (p111).
+**
+** Copyright (C) 2013-2016, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double t, el, elp, f, d, om, dp, de, arg, s, c;
+ int j;
+
+/* Units of 0.1 milliarcsecond to radians */
+ const double U2R = ERFA_DAS2R / 1e4;
+
+/* ------------------------------------------------ */
+/* Table of multiples of arguments and coefficients */
+/* ------------------------------------------------ */
+
+/* The units for the sine and cosine coefficients are 0.1 mas and */
+/* the same per Julian century */
+
+ static const struct {
+ int nl,nlp,nf,nd,nom; /* coefficients of l,l',F,D,Om */
+ double sp,spt; /* longitude sine, 1 and t coefficients */
+ double ce,cet; /* obliquity cosine, 1 and t coefficients */
+ } x[] = {
+
+ /* 1-10 */
+ { 0, 0, 0, 0, 1, -171996.0, -174.2, 92025.0, 8.9 },
+ { 0, 0, 0, 0, 2, 2062.0, 0.2, -895.0, 0.5 },
+ { -2, 0, 2, 0, 1, 46.0, 0.0, -24.0, 0.0 },
+ { 2, 0, -2, 0, 0, 11.0, 0.0, 0.0, 0.0 },
+ { -2, 0, 2, 0, 2, -3.0, 0.0, 1.0, 0.0 },
+ { 1, -1, 0, -1, 0, -3.0, 0.0, 0.0, 0.0 },
+ { 0, -2, 2, -2, 1, -2.0, 0.0, 1.0, 0.0 },
+ { 2, 0, -2, 0, 1, 1.0, 0.0, 0.0, 0.0 },
+ { 0, 0, 2, -2, 2, -13187.0, -1.6, 5736.0, -3.1 },
+ { 0, 1, 0, 0, 0, 1426.0, -3.4, 54.0, -0.1 },
+
+ /* 11-20 */
+ { 0, 1, 2, -2, 2, -517.0, 1.2, 224.0, -0.6 },
+ { 0, -1, 2, -2, 2, 217.0, -0.5, -95.0, 0.3 },
+ { 0, 0, 2, -2, 1, 129.0, 0.1, -70.0, 0.0 },
+ { 2, 0, 0, -2, 0, 48.0, 0.0, 1.0, 0.0 },
+ { 0, 0, 2, -2, 0, -22.0, 0.0, 0.0, 0.0 },
+ { 0, 2, 0, 0, 0, 17.0, -0.1, 0.0, 0.0 },
+ { 0, 1, 0, 0, 1, -15.0, 0.0, 9.0, 0.0 },
+ { 0, 2, 2, -2, 2, -16.0, 0.1, 7.0, 0.0 },
+ { 0, -1, 0, 0, 1, -12.0, 0.0, 6.0, 0.0 },
+ { -2, 0, 0, 2, 1, -6.0, 0.0, 3.0, 0.0 },
+
+ /* 21-30 */
+ { 0, -1, 2, -2, 1, -5.0, 0.0, 3.0, 0.0 },
+ { 2, 0, 0, -2, 1, 4.0, 0.0, -2.0, 0.0 },
+ { 0, 1, 2, -2, 1, 4.0, 0.0, -2.0, 0.0 },
+ { 1, 0, 0, -1, 0, -4.0, 0.0, 0.0, 0.0 },
+ { 2, 1, 0, -2, 0, 1.0, 0.0, 0.0, 0.0 },
+ { 0, 0, -2, 2, 1, 1.0, 0.0, 0.0, 0.0 },
+ { 0, 1, -2, 2, 0, -1.0, 0.0, 0.0, 0.0 },
+ { 0, 1, 0, 0, 2, 1.0, 0.0, 0.0, 0.0 },
+ { -1, 0, 0, 1, 1, 1.0, 0.0, 0.0, 0.0 },
+ { 0, 1, 2, -2, 0, -1.0, 0.0, 0.0, 0.0 },
+
+ /* 31-40 */
+ { 0, 0, 2, 0, 2, -2274.0, -0.2, 977.0, -0.5 },
+ { 1, 0, 0, 0, 0, 712.0, 0.1, -7.0, 0.0 },
+ { 0, 0, 2, 0, 1, -386.0, -0.4, 200.0, 0.0 },
+ { 1, 0, 2, 0, 2, -301.0, 0.0, 129.0, -0.1 },
+ { 1, 0, 0, -2, 0, -158.0, 0.0, -1.0, 0.0 },
+ { -1, 0, 2, 0, 2, 123.0, 0.0, -53.0, 0.0 },
+ { 0, 0, 0, 2, 0, 63.0, 0.0, -2.0, 0.0 },
+ { 1, 0, 0, 0, 1, 63.0, 0.1, -33.0, 0.0 },
+ { -1, 0, 0, 0, 1, -58.0, -0.1, 32.0, 0.0 },
+ { -1, 0, 2, 2, 2, -59.0, 0.0, 26.0, 0.0 },
+
+ /* 41-50 */
+ { 1, 0, 2, 0, 1, -51.0, 0.0, 27.0, 0.0 },
+ { 0, 0, 2, 2, 2, -38.0, 0.0, 16.0, 0.0 },
+ { 2, 0, 0, 0, 0, 29.0, 0.0, -1.0, 0.0 },
+ { 1, 0, 2, -2, 2, 29.0, 0.0, -12.0, 0.0 },
+ { 2, 0, 2, 0, 2, -31.0, 0.0, 13.0, 0.0 },
+ { 0, 0, 2, 0, 0, 26.0, 0.0, -1.0, 0.0 },
+ { -1, 0, 2, 0, 1, 21.0, 0.0, -10.0, 0.0 },
+ { -1, 0, 0, 2, 1, 16.0, 0.0, -8.0, 0.0 },
+ { 1, 0, 0, -2, 1, -13.0, 0.0, 7.0, 0.0 },
+ { -1, 0, 2, 2, 1, -10.0, 0.0, 5.0, 0.0 },
+
+ /* 51-60 */
+ { 1, 1, 0, -2, 0, -7.0, 0.0, 0.0, 0.0 },
+ { 0, 1, 2, 0, 2, 7.0, 0.0, -3.0, 0.0 },
+ { 0, -1, 2, 0, 2, -7.0, 0.0, 3.0, 0.0 },
+ { 1, 0, 2, 2, 2, -8.0, 0.0, 3.0, 0.0 },
+ { 1, 0, 0, 2, 0, 6.0, 0.0, 0.0, 0.0 },
+ { 2, 0, 2, -2, 2, 6.0, 0.0, -3.0, 0.0 },
+ { 0, 0, 0, 2, 1, -6.0, 0.0, 3.0, 0.0 },
+ { 0, 0, 2, 2, 1, -7.0, 0.0, 3.0, 0.0 },
+ { 1, 0, 2, -2, 1, 6.0, 0.0, -3.0, 0.0 },
+ { 0, 0, 0, -2, 1, -5.0, 0.0, 3.0, 0.0 },
+
+ /* 61-70 */
+ { 1, -1, 0, 0, 0, 5.0, 0.0, 0.0, 0.0 },
+ { 2, 0, 2, 0, 1, -5.0, 0.0, 3.0, 0.0 },
+ { 0, 1, 0, -2, 0, -4.0, 0.0, 0.0, 0.0 },
+ { 1, 0, -2, 0, 0, 4.0, 0.0, 0.0, 0.0 },
+ { 0, 0, 0, 1, 0, -4.0, 0.0, 0.0, 0.0 },
+ { 1, 1, 0, 0, 0, -3.0, 0.0, 0.0, 0.0 },
+ { 1, 0, 2, 0, 0, 3.0, 0.0, 0.0, 0.0 },
+ { 1, -1, 2, 0, 2, -3.0, 0.0, 1.0, 0.0 },
+ { -1, -1, 2, 2, 2, -3.0, 0.0, 1.0, 0.0 },
+ { -2, 0, 0, 0, 1, -2.0, 0.0, 1.0, 0.0 },
+
+ /* 71-80 */
+ { 3, 0, 2, 0, 2, -3.0, 0.0, 1.0, 0.0 },
+ { 0, -1, 2, 2, 2, -3.0, 0.0, 1.0, 0.0 },
+ { 1, 1, 2, 0, 2, 2.0, 0.0, -1.0, 0.0 },
+ { -1, 0, 2, -2, 1, -2.0, 0.0, 1.0, 0.0 },
+ { 2, 0, 0, 0, 1, 2.0, 0.0, -1.0, 0.0 },
+ { 1, 0, 0, 0, 2, -2.0, 0.0, 1.0, 0.0 },
+ { 3, 0, 0, 0, 0, 2.0, 0.0, 0.0, 0.0 },
+ { 0, 0, 2, 1, 2, 2.0, 0.0, -1.0, 0.0 },
+ { -1, 0, 0, 0, 2, 1.0, 0.0, -1.0, 0.0 },
+ { 1, 0, 0, -4, 0, -1.0, 0.0, 0.0, 0.0 },
+
+ /* 81-90 */
+ { -2, 0, 2, 2, 2, 1.0, 0.0, -1.0, 0.0 },
+ { -1, 0, 2, 4, 2, -2.0, 0.0, 1.0, 0.0 },
+ { 2, 0, 0, -4, 0, -1.0, 0.0, 0.0, 0.0 },
+ { 1, 1, 2, -2, 2, 1.0, 0.0, -1.0, 0.0 },
+ { 1, 0, 2, 2, 1, -1.0, 0.0, 1.0, 0.0 },
+ { -2, 0, 2, 4, 2, -1.0, 0.0, 1.0, 0.0 },
+ { -1, 0, 4, 0, 2, 1.0, 0.0, 0.0, 0.0 },
+ { 1, -1, 0, -2, 0, 1.0, 0.0, 0.0, 0.0 },
+ { 2, 0, 2, -2, 1, 1.0, 0.0, -1.0, 0.0 },
+ { 2, 0, 2, 2, 2, -1.0, 0.0, 0.0, 0.0 },
+
+ /* 91-100 */
+ { 1, 0, 0, 2, 1, -1.0, 0.0, 0.0, 0.0 },
+ { 0, 0, 4, -2, 2, 1.0, 0.0, 0.0, 0.0 },
+ { 3, 0, 2, -2, 2, 1.0, 0.0, 0.0, 0.0 },
+ { 1, 0, 2, -2, 0, -1.0, 0.0, 0.0, 0.0 },
+ { 0, 1, 2, 0, 1, 1.0, 0.0, 0.0, 0.0 },
+ { -1, -1, 0, 2, 1, 1.0, 0.0, 0.0, 0.0 },
+ { 0, 0, -2, 0, 1, -1.0, 0.0, 0.0, 0.0 },
+ { 0, 0, 2, -1, 2, -1.0, 0.0, 0.0, 0.0 },
+ { 0, 1, 0, 2, 0, -1.0, 0.0, 0.0, 0.0 },
+ { 1, 0, -2, -2, 0, -1.0, 0.0, 0.0, 0.0 },
+
+ /* 101-106 */
+ { 0, -1, 2, 0, 1, -1.0, 0.0, 0.0, 0.0 },
+ { 1, 1, 0, -2, 1, -1.0, 0.0, 0.0, 0.0 },
+ { 1, 0, -2, 2, 0, -1.0, 0.0, 0.0, 0.0 },
+ { 2, 0, 0, 2, 0, 1.0, 0.0, 0.0, 0.0 },
+ { 0, 0, 2, 4, 2, -1.0, 0.0, 0.0, 0.0 },
+ { 0, 1, 0, 1, 0, 1.0, 0.0, 0.0, 0.0 }
+ };
+
+/* Number of terms in the series */
+ const int NT = (int) (sizeof x / sizeof x[0]);
+
+/*--------------------------------------------------------------------*/
+
+/* Interval between fundamental epoch J2000.0 and given date (JC). */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
+
+/* --------------------- */
+/* Fundamental arguments */
+/* --------------------- */
+
+/* Mean longitude of Moon minus mean longitude of Moon's perigee. */
+ el = eraAnpm(
+ (485866.733 + (715922.633 + (31.310 + 0.064 * t) * t) * t)
+ * ERFA_DAS2R + fmod(1325.0 * t, 1.0) * ERFA_D2PI);
+
+/* Mean longitude of Sun minus mean longitude of Sun's perigee. */
+ elp = eraAnpm(
+ (1287099.804 + (1292581.224 + (-0.577 - 0.012 * t) * t) * t)
+ * ERFA_DAS2R + fmod(99.0 * t, 1.0) * ERFA_D2PI);
+
+/* Mean longitude of Moon minus mean longitude of Moon's node. */
+ f = eraAnpm(
+ (335778.877 + (295263.137 + (-13.257 + 0.011 * t) * t) * t)
+ * ERFA_DAS2R + fmod(1342.0 * t, 1.0) * ERFA_D2PI);
+
+/* Mean elongation of Moon from Sun. */
+ d = eraAnpm(
+ (1072261.307 + (1105601.328 + (-6.891 + 0.019 * t) * t) * t)
+ * ERFA_DAS2R + fmod(1236.0 * t, 1.0) * ERFA_D2PI);
+
+/* Longitude of the mean ascending node of the lunar orbit on the */
+/* ecliptic, measured from the mean equinox of date. */
+ om = eraAnpm(
+ (450160.280 + (-482890.539 + (7.455 + 0.008 * t) * t) * t)
+ * ERFA_DAS2R + fmod(-5.0 * t, 1.0) * ERFA_D2PI);
+
+/* --------------- */
+/* Nutation series */
+/* --------------- */
+
+/* Initialize nutation components. */
+ dp = 0.0;
+ de = 0.0;
+
+/* Sum the nutation terms, ending with the biggest. */
+ for (j = NT-1; j >= 0; j--) {
+
+ /* Form argument for current term. */
+ arg = (double)x[j].nl * el
+ + (double)x[j].nlp * elp
+ + (double)x[j].nf * f
+ + (double)x[j].nd * d
+ + (double)x[j].nom * om;
+
+ /* Accumulate current nutation term. */
+ s = x[j].sp + x[j].spt * t;
+ c = x[j].ce + x[j].cet * t;
+ if (s != 0.0) dp += s * sin(arg);
+ if (c != 0.0) de += c * cos(arg);
+ }
+
+/* Convert results from 0.1 mas units to radians. */
+ *dpsi = dp * U2R;
+ *deps = de * U2R;
+
+ return;
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** 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.
+**
+*/
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