// This Source Code Form is subject to the terms of the Mozilla Public
// License, v. 2.0. If a copy of the MPL was not distributed with this
// file, You can obtain one at http://mozilla.org/MPL/2.0/.
use crate::{
constants::*,
fundamental_argument::{e03, f03, ju03, l03, ma03, me03, om03, pa03, sa03, ur03, ve03},
};
/// Nutation, IAU 2000A model (MHB2000 luni-solar and planetary nutation with
/// free core nutation omitted). (`eraNut00a`)
///
/// Given:
/// * `date1`,`date2`: TT as a 2-part Julian Date (Note 1)
///
/// Returned:
/// * `dpsi`,`deps`: nutation, luni-solar + planetary (Note 2)
///
/// # 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 in longitude and obliquity are in radians and
/// with respect to the equinox and ecliptic of date. The obliquity at
/// J2000.0 is assumed to be the Lieske et al. (1977) value of 84381.448
/// arcsec.
///
/// Both the luni-solar and planetary nutations are included. The latter are
/// due to direct planetary nutations and the perturbations of the lunar and
/// terrestrial orbits.
///
/// 3) The function computes the MHB2000 nutation series with the associated
/// corrections for planetary nutations. It is an implementation of the
/// nutation part of the IAU 2000A precession- nutation model, formally
/// adopted by the IAU General Assembly in 2000, namely MHB2000 (Mathews et
/// al. 2002), but with the free core nutation (FCN - see Note 4) omitted.
///
/// 4) The full MHB2000 model also contains contributions to the nutations in
/// longitude and obliquity due to the free-excitation of the
/// free-core-nutation during the period 1979-2000. These FCN terms, which
/// are time-dependent and unpredictable, are NOT included in the present
/// function and, if required, must be independently computed. With the FCN
/// corrections included, the present function delivers a pole which is at
/// current epochs accurate to a few hundred microarcseconds. The omission
/// of FCN introduces further errors of about that size.
///
/// 5) The present function provides classical nutation. The MHB2000 algorithm,
/// from which it is adapted, deals also with (i) the offsets between the
/// GCRS and mean poles and (ii) the adjustments in longitude and obliquity
/// due to the changed precession rates. These additional functions, namely
/// frame bias and precession adjustments, are supported by the ERFA
/// functions eraBi00 and eraPr00.
///
/// 6) The MHB2000 algorithm also provides "total" nutations, comprising the
/// arithmetic sum of the frame bias, precession adjustments, luni-solar
/// nutation and planetary nutation. These total nutations can be used in
/// combination with an existing IAU 1976 precession implementation, such as
/// eraPmat76, to deliver GCRS- to-true predictions of sub-mas accuracy at
/// current dates. However, there are three shortcomings in the MHB2000 model
/// that must be taken into account if more accurate or definitive results
/// are required (see Wallace 2002):
///
/// (i) The MHB2000 total nutations are simply arithmetic sums, yet in
/// reality the various components are successive Euler rotations. This
/// slight lack of rigor leads to cross terms that exceed 1 mas after a
/// century. The rigorous procedure is to form the GCRS-to-true
/// rotation matrix by applying the bias, precession and nutation in
/// that order.
///
/// (ii) Although the precession adjustments are stated to be with respect
/// to Lieske et al. (1977), the MHB2000 model does not specify which
/// set of Euler angles are to be used and how the adjustments are to
/// be applied. The most literal and straightforward procedure is to
/// adopt the 4-rotation epsilon_0, psi_A, omega_A, xi_A option, and to
/// add DPSIPR to psi_A and DEPSPR to both omega_A and eps_A.
///
/// (iii) The MHB2000 model predates the determination by Chapront et al.
/// (2002) of a 14.6 mas displacement between the J2000.0 mean equinox
/// and the origin of the ICRS frame. It should, however, be noted
/// that neglecting this displacement when calculating star coordinates
/// does not lead to a 14.6 mas change in right ascension, only a small
/// second- order distortion in the pattern of the precession-nutation
/// effect.
///
/// For these reasons, the ERFA functions do not generate the "total
/// nutations" directly, though they can of course easily be generated by
/// calling eraBi00, eraPr00 and the present function and adding the results.
///
/// 7) The MHB2000 model contains 41 instances where the same frequency appears
/// multiple times, of which 38 are duplicates and three are triplicates. To
/// keep the present code close to the original MHB algorithm, this small
/// inefficiency has not been corrected.
///
/// # References:
///
/// * Chapront, J., Chapront-Touze, M. & Francou, G. 2002, Astron.Astrophys.
/// 387, 700
///
/// * Lieske, J.H., Lederle, T., Fricke, W. & Morando, B. 1977,
/// Astron.Astrophys. 58, 1-16
///
/// * Mathews, P.M., Herring, T.A., Buffet, B.A. 2002, J.Geophys.Res. 107, B4.
/// The MHB_2000 code itself was obtained on 9th September 2002 from
/// <ftp://maia.usno.navy.mil/conv2000/chapter5/IAU2000A>.
///
/// * Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., Francou,
/// G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
///
/// * Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999,
/// Astron.Astrophys.Supp.Ser. 135, 111
///
/// * Wallace, P.T., "Software for Implementing the IAU 2000 Resolutions", in
/// IERS Workshop 5.1 (2002)
///
pub fn nut00a(date1: f64, date2: f64) -> (f64, f64) {
/* Units of 0.1 microarcsecond to radians */
const U2R: f64 = ERFA_DAS2R / 1e7;
/* ------------------------- */
/* Luni-Solar nutation model */
/* ------------------------- */
/* Interval between fundamental date J2000.0 and given date (JC). */
let t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
/* ------------------- */
/* LUNI-SOLAR NUTATION */
/* ------------------- */
/* Fundamental (Delaunay) arguments */
/* Mean anomaly of the Moon (IERS 2003). */
let el = l03(t);
/* Mean anomaly of the Sun (MHB2000). */
#[rustfmt::skip]
let elp = (1287104.79305 +
t * (129596581.0481 +
t * (-0.5532 +
t * (0.000136 +
t * (-0.00001149)))) % ERFA_TURNAS) * ERFA_DAS2R;
/* Mean longitude of the Moon minus that of the ascending node */
/* (IERS 2003. */
let f = f03(t);
/* Mean elongation of the Moon from the Sun (MHB2000). */
#[rustfmt::skip]
let d = (1072260.70369 +
t * (1602961601.2090 +
t * (-6.3706 +
t * (0.006593 +
t * (-0.00003169)))) % ERFA_TURNAS) * ERFA_DAS2R;
/* Mean longitude of the ascending node of the Moon (IERS 2003). */
let om = om03(t);
/* Initialize the nutation values. */
let mut dp = 0.0;
let mut de = 0.0;
/* Summation of luni-solar nutation series (in reverse order). */
for xls in XLS.iter().rev() {
/* Argument and functions. */
let arg = (xls.nl as f64 * el
+ xls.nlp as f64 * elp
+ xls.nf as f64 * f
+ xls.nd as f64 * d
+ xls.nom as f64 * om)
% ERFA_D2PI;
let (sarg, carg) = arg.sin_cos();
/* Term. */
dp += (xls.sp + xls.spt * t) * sarg + xls.cp * carg;
de += (xls.ce + xls.cet * t) * carg + xls.se * sarg;
}
/* Convert from 0.1 microarcsec units to radians. */
let dpsils = dp * U2R;
let depsls = de * U2R;
/* ------------------ */
/* PLANETARY NUTATION */
/* ------------------ */
/* n.b. The MHB2000 code computes the luni-solar and planetary nutation */
/* in different functions, using slightly different Delaunay */
/* arguments in the two cases. This behaviour is faithfully */
/* reproduced here. Use of the IERS 2003 expressions for both */
/* cases leads to negligible changes, well below */
/* 0.1 microarcsecond. */
/* Mean anomaly of the Moon (MHB2000). */
let al = (2.35555598 + 8328.6914269554 * t) % ERFA_D2PI;
/* Mean longitude of the Moon minus that of the ascending node */
/*(MHB2000). */
let af = (1.627905234 + 8433.466158131 * t) % ERFA_D2PI;
/* Mean elongation of the Moon from the Sun (MHB2000). */
let ad = (5.198466741 + 7771.3771468121 * t) % ERFA_D2PI;
/* Mean longitude of the ascending node of the Moon (MHB2000). */
let aom = (2.18243920 - 33.757045 * t) % ERFA_D2PI;
/* General accumulated precession in longitude (IERS 2003). */
let apa = pa03(t);
/* Planetary longitudes, Mercury through Uranus (IERS 2003). */
let alme = me03(t);
let alve = ve03(t);
let alea = e03(t);
let alma = ma03(t);
let alju = ju03(t);
let alsa = sa03(t);
let alur = ur03(t);
/* Neptune longitude (MHB2000). */
let alne = (5.321159000 + 3.8127774000 * t) % ERFA_D2PI;
/* Initialize the nutation values. */
let mut dp = 0.0;
let mut de = 0.0;
/* Summation of planetary nutation series (in reverse order). */
for xpl in XPL.iter().rev() {
/* Argument and functions. */
let arg = (xpl.nl as f64 * al
+ xpl.nf as f64 * af
+ xpl.nd as f64 * ad
+ xpl.nom as f64 * aom
+ xpl.nme as f64 * alme
+ xpl.nve as f64 * alve
+ xpl.nea as f64 * alea
+ xpl.nma as f64 * alma
+ xpl.nju as f64 * alju
+ xpl.nsa as f64 * alsa
+ xpl.nur as f64 * alur
+ xpl.nne as f64 * alne
+ xpl.npa as f64 * apa)
% ERFA_D2PI;
let (sarg, carg) = arg.sin_cos();
/* Term. */
dp += xpl.sp as f64 * sarg + xpl.cp as f64 * carg;
de += xpl.se as f64 * sarg + xpl.ce as f64 * carg;
}
/* Convert from 0.1 microarcsec units to radians. */
let dpsipl = dp * U2R;
let depspl = de * U2R;
/* ------- */
/* RESULTS */
/* ------- */
/* Add luni-solar and planetary components. */
let dpsi = dpsils + dpsipl;
let deps = depsls + depspl;
(dpsi, deps)
}
struct Xls {
nl: i32,
nlp: i32,
nf: i32,
nd: i32,
nom: i32,
sp: f64,
spt: f64,
cp: f64,
ce: f64,
cet: f64,
se: f64,
}
const XLS: [Xls; 678] = [
Xls {
nl: 0,
nlp: 0,
nf: 0,
nd: 0,
nom: 1,
sp: -172064161.0,
spt: -174666.0,
cp: 33386.0,
ce: 92052331.0,
cet: 9086.0,
se: 15377.0,
},
Xls {
nl: 0,
nlp: 0,
nf: 2,
nd: -2,
nom: 2,
sp: -13170906.0,
spt: -1675.0,
cp: -13696.0,
ce: 5730336.0,
cet: -3015.0,
se: -4587.0,
},
Xls {
nl: 0,
nlp: 0,
nf: 2,
nd: 0,
nom: 2,
sp: -2276413.0,
spt: -234.0,
cp: 2796.0,
ce: 978459.0,
cet: -485.0,
se: 1374.0,
},
Xls {
nl: 0,
nlp: 0,
nf: 0,
nd: 0,
nom: 2,
sp: 2074554.0,
spt: 207.0,
cp: -698.0,
ce: -897492.0,
cet: 470.0,
se: -291.0,
},
Xls {
nl: 0,
nlp: 1,
nf: 0,
nd: 0,
nom: 0,
sp: 1475877.0,
spt: -3633.0,
cp: 11817.0,
ce: 73871.0,
cet: -184.0,
se: -1924.0,
},
Xls {
nl: 0,
nlp: 1,
nf: 2,
nd: -2,
nom: 2,
sp: -516821.0,
spt: 1226.0,
cp: -524.0,
ce: 224386.0,
cet: -677.0,
se: -174.0,
},
Xls {
nl: 1,
nlp: 0,
nf: 0,
nd: 0,
nom: 0,
sp: 711159.0,
spt: 73.0,
cp: -872.0,
ce: -6750.0,
cet: 0.0,
se: 358.0,
},
Xls {
nl: 0,
nlp: 0,
nf: 2,
nd: 0,
nom: 1,
sp: -387298.0,
spt: -367.0,
cp: 380.0,
ce: 200728.0,
cet: 18.0,
se: 318.0,
},
Xls {
nl: 1,
nlp: 0,
nf: 2,
nd: 0,
nom: 2,
sp: -301461.0,
spt: -36.0,
cp: 816.0,
ce: 129025.0,
cet: -63.0,
se: 367.0,
},
Xls {
nl: 0,
nlp: -1,
nf: 2,
nd: -2,
nom: 2,
sp: 215829.0,
spt: -494.0,
cp: 111.0,
ce: -95929.0,
cet: 299.0,
se: 132.0,
},
Xls {
nl: 0,
nlp: 0,
nf: 2,
nd: -2,
nom: 1,
sp: 128227.0,
spt: 137.0,
cp: 181.0,
ce: -68982.0,
cet: -9.0,
se: 39.0,
},
Xls {
nl: -1,
nlp: 0,
nf: 2,
nd: 0,
nom: 2,
sp: 123457.0,
spt: 11.0,
cp: 19.0,
ce: -53311.0,
cet: 32.0,
se: -4.0,
},
Xls {
nl: -1,
nlp: 0,
nf: 0,
nd: 2,
nom: 0,
sp: 156994.0,
spt: 10.0,
cp: -168.0,
ce: -1235.0,
cet: 0.0,
se: 82.0,
},
Xls {
nl: 1,
nlp: 0,
nf: 0,
nd: 0,
nom: 1,
sp: 63110.0,
spt: 63.0,
cp: 27.0,
ce: -33228.0,
cet: 0.0,
se: -9.0,
},
Xls {
nl: -1,
nlp: 0,
nf: 0,
nd: 0,
nom: 1,
sp: -57976.0,
spt: -63.0,
cp: -189.0,
ce: 31429.0,
cet: 0.0,
se: -75.0,
},
Xls {
nl: -1,
nlp: 0,
nf: 2,
nd: 2,
nom: 2,
sp: -59641.0,
spt: -11.0,
cp: 149.0,
ce: 25543.0,
cet: -11.0,
se: 66.0,
},
Xls {
nl: 1,
nlp: 0,
nf: 2,
nd: 0,
nom: 1,
sp: -51613.0,
spt: -42.0,
cp: 129.0,
ce: 26366.0,
cet: 0.0,
se: 78.0,
},
Xls {
nl: -2,
nlp: 0,
nf: 2,
nd: 0,
nom: 1,
sp: 45893.0,
spt: 50.0,
cp: 31.0,
ce: -24236.0,
cet: -10.0,
se: 20.0,
},
Xls {
nl: 0,
nlp: 0,
nf: 0,
nd: 2,
nom: 0,
sp: 63384.0,
spt: 11.0,
cp: -150.0,
ce: -1220.0,
cet: 0.0,
se: 29.0,
},
Xls {
nl: 0,
nlp: 0,
nf: 2,
nd: 2,
nom: 2,
sp: -38571.0,
spt: -1.0,
cp: 158.0,
ce: 16452.0,
cet: -11.0,
se: 68.0,
},
Xls {
nl: 0,
nlp: -2,
nf: 2,
nd: -2,
nom: 2,
sp: 32481.0,
spt: 0.0,
cp: 0.0,
ce: -13870.0,
cet: 0.0,
se: 0.0,
},
Xls {
nl: -2,
nlp: 0,
nf: 0,
nd: 2,
nom: 0,
sp: -47722.0,
spt: 0.0,
cp: -18.0,
ce: 477.0,
cet: 0.0,
se: -25.0,
},
Xls {
nl: 2,
nlp: 0,
nf: 2,
nd: 0,
nom: 2,
sp: -31046.0,
spt: -1.0,
cp: 131.0,
ce: 13238.0,
cet: -11.0,
se: 59.0,
},
Xls {
nl: 1,
nlp: 0,
nf: 2,
nd: -2,
nom: 2,
sp: 28593.0,
spt: 0.0,
cp: -1.0,
ce: -12338.0,
cet: 10.0,
se: -3.0,
},
Xls {
nl: -1,
nlp: 0,
nf: 2,
nd: 0,
nom: 1,
sp: 20441.0,
spt: 21.0,
cp: 10.0,
ce: -10758.0,
cet: 0.0,
se: -3.0,
},
Xls {
nl: 2,
nlp: 0,
nf: 0,
nd: 0,
nom: 0,
sp: 29243.0,
spt: 0.0,
cp: -74.0,
ce: -609.0,
cet: 0.0,
se: 13.0,
},
Xls {
nl: 0,
nlp: 0,
nf: 2,
nd: 0,
nom: 0,
sp: 25887.0,
spt: 0.0,
cp: -66.0,
ce: -550.0,
cet: 0.0,
se: 11.0,
},
Xls {
nl: 0,
nlp: 1,
nf: 0,
nd: 0,
nom: 1,
sp: -14053.0,
spt: -25.0,
cp: 79.0,
ce: 8551.0,
cet: -2.0,
se: -45.0,
},
Xls {
nl: -1,
nlp: 0,
nf: 0,
nd: 2,
nom: 1,
sp: 15164.0,
spt: 10.0,
cp: 11.0,
ce: -8001.0,
cet: 0.0,
se: -1.0,
},
Xls {
nl: 0,
nlp: 2,
nf: 2,
nd: -2,
nom: 2,
sp: -15794.0,
spt: 72.0,
cp: -16.0,
ce: 6850.0,
cet: -42.0,
se: -5.0,
},
Xls {
nl: 0,
nlp: 0,
nf: -2,
nd: 2,
nom: 0,
sp: 21783.0,
spt: 0.0,
cp: 13.0,
ce: -167.0,
cet: 0.0,
se: 13.0,
},
Xls {
nl: 1,
nlp: 0,
nf: 0,
nd: -2,
nom: 1,
sp: -12873.0,
spt: -10.0,
cp: -37.0,
ce: 6953.0,
cet: 0.0,
se: -14.0,
},
Xls {
nl: 0,
nlp: -1,
nf: 0,
nd: 0,
nom: 1,
sp: -12654.0,
spt: 11.0,
cp: 63.0,
ce: 6415.0,
cet: 0.0,
se: 26.0,
},
Xls {
nl: -1,
nlp: 0,
nf: 2,
nd: 2,
nom: 1,
sp: -10204.0,
spt: 0.0,
cp: 25.0,
ce: 5222.0,
cet: 0.0,
se: 15.0,
},
Xls {
nl: 0,
nlp: 2,
nf: 0,
nd: 0,
nom: 0,
sp: 16707.0,
spt: -85.0,
cp: -10.0,
ce: 168.0,
cet: -1.0,
se: 10.0,
},
Xls {
nl: 1,
nlp: 0,
nf: 2,
nd: 2,
nom: 2,
sp: -7691.0,
spt: 0.0,
cp: 44.0,
ce: 3268.0,
cet: 0.0,
se: 19.0,
},
Xls {
nl: -2,
nlp: 0,
nf: 2,
nd: 0,
nom: 0,
sp: -11024.0,
spt: 0.0,
cp: -14.0,
ce: 104.0,
cet: 0.0,
se: 2.0,
},
Xls {
nl: 0,
nlp: 1,
nf: 2,
nd: 0,
nom: 2,
sp: 7566.0,
spt: -21.0,
cp: -11.0,
ce: -3250.0,
cet: 0.0,
se: -5.0,
},
Xls {
nl: 0,
nlp: 0,
nf: 2,
nd: 2,
nom: 1,
sp: -6637.0,
spt: -11.0,
cp: 25.0,
ce: 3353.0,
cet: 0.0,
se: 14.0,
},
Xls {
nl: 0,
nlp: -1,
nf: 2,
nd: 0,
nom: 2,
sp: -7141.0,
spt: 21.0,
cp: 8.0,
ce: 3070.0,
cet: 0.0,
se: 4.0,
},
Xls {
nl: 0,
nlp: 0,
nf: 0,
nd: 2,
nom: 1,
sp: -6302.0,
spt: -11.0,
cp: 2.0,
ce: 3272.0,
cet: 0.0,
se: 4.0,
},
Xls {
nl: 1,
nlp: 0,
nf: 2,
nd: -2,
nom: 1,
sp: 5800.0,
spt: 10.0,
cp: 2.0,
ce: -3045.0,
cet: 0.0,
se: -1.0,
},
Xls {
nl: 2,
nlp: 0,
nf: 2,
nd: -2,
nom: 2,
sp: 6443.0,
spt: 0.0,
cp: -7.0,
ce: -2768.0,
cet: 0.0,
se: -4.0,
},
Xls {
nl: -2,
nlp: 0,
nf: 0,
nd: 2,
nom: 1,
sp: -5774.0,
spt: -11.0,
cp: -15.0,
ce: 3041.0,
cet: 0.0,
se: -5.0,
},
Xls {
nl: 2,
nlp: 0,
nf: 2,
nd: 0,
nom: 1,
sp: -5350.0,
spt: 0.0,
cp: 21.0,
ce: 2695.0,
cet: 0.0,
se: 12.0,
},
Xls {
nl: 0,
nlp: -1,
nf: 2,
nd: -2,
nom: 1,
sp: -4752.0,
spt: -11.0,
cp: -3.0,
ce: 2719.0,
cet: 0.0,
se: -3.0,
},
Xls {
nl: 0,
nlp: 0,
nf: 0,
nd: -2,
nom: 1,
sp: -4940.0,
spt: -11.0,
cp: -21.0,
ce: 2720.0,
cet: 0.0,
se: -9.0,
},
Xls {
nl: -1,
nlp: -1,
nf: 0,
nd: 2,
nom: 0,
sp: 7350.0,
spt: 0.0,
cp: -8.0,
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Xls {
nl: 5,
nlp: 0,
nf: 2,
nd: 0,
nom: 1,
sp: -3.0,
spt: 0.0,
cp: 0.0,
ce: 1.0,
cet: 0.0,
se: 0.0,
},
Xls {
nl: 2,
nlp: -1,
nf: 2,
nd: 4,
nom: 2,
sp: -3.0,
spt: 0.0,
cp: 0.0,
ce: 1.0,
cet: 0.0,
se: 0.0,
},
Xls {
nl: 2,
nlp: 0,
nf: 2,
nd: 4,
nom: 1,
sp: -3.0,
spt: 0.0,
cp: 0.0,
ce: 2.0,
cet: 0.0,
se: 0.0,
},
];
struct Xpl {
nl: i32,
nf: i32,
nd: i32,
nom: i32,
nme: i32,
nve: i32,
nea: i32,
nma: i32,
nju: i32,
nsa: i32,
nur: i32,
nne: i32,
npa: i32,
sp: i32,
cp: i32,
se: i32,
ce: i32,
}
const XPL: [Xpl; 687] = [
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 0,
nea: 8,
nma: -16,
nju: 4,
nsa: 5,
nur: 0,
nne: 0,
npa: 0,
sp: 1440,
cp: 0,
se: 0,
ce: 0,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 0,
nea: -8,
nma: 16,
nju: -4,
nsa: -5,
nur: 0,
nne: 0,
npa: 2,
sp: 56,
cp: -117,
se: -42,
ce: -40,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 0,
nea: 8,
nma: -16,
nju: 4,
nsa: 5,
nur: 0,
nne: 0,
npa: 2,
sp: 125,
cp: -43,
se: 0,
ce: -54,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 0,
nea: 0,
nma: 0,
nju: 0,
nsa: 0,
nur: -1,
nne: 2,
npa: 2,
sp: 0,
cp: 5,
se: 0,
ce: 0,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 0,
nea: -4,
nma: 8,
nju: -1,
nsa: -5,
nur: 0,
nne: 0,
npa: 2,
sp: 3,
cp: -7,
se: -3,
ce: 0,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 0,
nea: 4,
nma: -8,
nju: 3,
nsa: 0,
nur: 0,
nne: 0,
npa: 1,
sp: 3,
cp: 0,
se: 0,
ce: -2,
},
Xpl {
nl: 0,
nf: 1,
nd: -1,
nom: 1,
nme: 0,
nve: 0,
nea: 3,
nma: -8,
nju: 3,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: -114,
cp: 0,
se: 0,
ce: 61,
},
Xpl {
nl: -1,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 10,
nea: -3,
nma: 0,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: -219,
cp: 89,
se: 0,
ce: 0,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 0,
nea: 0,
nma: 0,
nju: -2,
nsa: 6,
nur: -3,
nne: 0,
npa: 2,
sp: -3,
cp: 0,
se: 0,
ce: 0,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 0,
nea: 4,
nma: -8,
nju: 3,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: -462,
cp: 1604,
se: 0,
ce: 0,
},
Xpl {
nl: 0,
nf: 1,
nd: -1,
nom: 1,
nme: 0,
nve: 0,
nea: -5,
nma: 8,
nju: -3,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: 99,
cp: 0,
se: 0,
ce: -53,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 0,
nea: -4,
nma: 8,
nju: -3,
nsa: 0,
nur: 0,
nne: 0,
npa: 1,
sp: -3,
cp: 0,
se: 0,
ce: 2,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 0,
nea: 4,
nma: -8,
nju: 1,
nsa: 5,
nur: 0,
nne: 0,
npa: 2,
sp: 0,
cp: 6,
se: 2,
ce: 0,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: -5,
nea: 6,
nma: 4,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 2,
sp: 3,
cp: 0,
se: 0,
ce: 0,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 0,
nea: 0,
nma: 0,
nju: 2,
nsa: -5,
nur: 0,
nne: 0,
npa: 2,
sp: -12,
cp: 0,
se: 0,
ce: 0,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 0,
nea: 0,
nma: 0,
nju: 2,
nsa: -5,
nur: 0,
nne: 0,
npa: 1,
sp: 14,
cp: -218,
se: 117,
ce: 8,
},
Xpl {
nl: 0,
nf: 1,
nd: -1,
nom: 1,
nme: 0,
nve: 0,
nea: -1,
nma: 0,
nju: 2,
nsa: -5,
nur: 0,
nne: 0,
npa: 0,
sp: 31,
cp: -481,
se: -257,
ce: -17,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 0,
nea: 0,
nma: 0,
nju: 2,
nsa: -5,
nur: 0,
nne: 0,
npa: 0,
sp: -491,
cp: 128,
se: 0,
ce: 0,
},
Xpl {
nl: 0,
nf: 1,
nd: -1,
nom: 1,
nme: 0,
nve: 0,
nea: -1,
nma: 0,
nju: -2,
nsa: 5,
nur: 0,
nne: 0,
npa: 0,
sp: -3084,
cp: 5123,
se: 2735,
ce: 1647,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 0,
nea: 0,
nma: 0,
nju: -2,
nsa: 5,
nur: 0,
nne: 0,
npa: 1,
sp: -1444,
cp: 2409,
se: -1286,
ce: -771,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 0,
nea: 0,
nma: 0,
nju: -2,
nsa: 5,
nur: 0,
nne: 0,
npa: 2,
sp: 11,
cp: -24,
se: -11,
ce: -9,
},
Xpl {
nl: 2,
nf: -1,
nd: -1,
nom: 0,
nme: 0,
nve: 0,
nea: 3,
nma: -7,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: 26,
cp: -9,
se: 0,
ce: 0,
},
Xpl {
nl: 1,
nf: 0,
nd: -2,
nom: 0,
nme: 0,
nve: 19,
nea: -21,
nma: 3,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: 103,
cp: -60,
se: 0,
ce: 0,
},
Xpl {
nl: 0,
nf: 1,
nd: -1,
nom: 1,
nme: 0,
nve: 2,
nea: -4,
nma: 0,
nju: -3,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: 0,
cp: -13,
se: -7,
ce: 0,
},
Xpl {
nl: 1,
nf: 0,
nd: -1,
nom: 1,
nme: 0,
nve: 0,
nea: -1,
nma: 0,
nju: 2,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: -26,
cp: -29,
se: -16,
ce: 14,
},
Xpl {
nl: 0,
nf: 1,
nd: -1,
nom: 1,
nme: 0,
nve: 0,
nea: -1,
nma: 0,
nju: -4,
nsa: 10,
nur: 0,
nne: 0,
npa: 0,
sp: 9,
cp: -27,
se: -14,
ce: -5,
},
Xpl {
nl: -2,
nf: 0,
nd: 2,
nom: 1,
nme: 0,
nve: 0,
nea: 2,
nma: 0,
nju: 0,
nsa: -5,
nur: 0,
nne: 0,
npa: 0,
sp: 12,
cp: 0,
se: 0,
ce: -6,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 3,
nea: -7,
nma: 4,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: -7,
cp: 0,
se: 0,
ce: 0,
},
Xpl {
nl: 0,
nf: -1,
nd: 1,
nom: 0,
nme: 0,
nve: 0,
nea: 1,
nma: 0,
nju: 1,
nsa: -1,
nur: 0,
nne: 0,
npa: 0,
sp: 0,
cp: 24,
se: 0,
ce: 0,
},
Xpl {
nl: -2,
nf: 0,
nd: 2,
nom: 1,
nme: 0,
nve: 0,
nea: 2,
nma: 0,
nju: -2,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: 284,
cp: 0,
se: 0,
ce: -151,
},
Xpl {
nl: -1,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 18,
nea: -16,
nma: 0,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: 226,
cp: 101,
se: 0,
ce: 0,
},
Xpl {
nl: -2,
nf: 1,
nd: 1,
nom: 2,
nme: 0,
nve: 0,
nea: 1,
nma: 0,
nju: -2,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: 0,
cp: -8,
se: -2,
ce: 0,
},
Xpl {
nl: -1,
nf: 1,
nd: -1,
nom: 1,
nme: 0,
nve: 18,
nea: -17,
nma: 0,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: 0,
cp: -6,
se: -3,
ce: 0,
},
Xpl {
nl: -1,
nf: 0,
nd: 1,
nom: 1,
nme: 0,
nve: 0,
nea: 2,
nma: -2,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: 5,
cp: 0,
se: 0,
ce: -3,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: -8,
nea: 13,
nma: 0,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 2,
sp: -41,
cp: 175,
se: 76,
ce: 17,
},
Xpl {
nl: 0,
nf: 2,
nd: -2,
nom: 2,
nme: 0,
nve: -8,
nea: 11,
nma: 0,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: 0,
cp: 15,
se: 6,
ce: 0,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: -8,
nea: 13,
nma: 0,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 1,
sp: 425,
cp: 212,
se: -133,
ce: 269,
},
Xpl {
nl: 0,
nf: 1,
nd: -1,
nom: 1,
nme: 0,
nve: -8,
nea: 12,
nma: 0,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: 1200,
cp: 598,
se: 319,
ce: -641,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 8,
nea: -13,
nma: 0,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: 235,
cp: 334,
se: 0,
ce: 0,
},
Xpl {
nl: 0,
nf: 1,
nd: -1,
nom: 1,
nme: 0,
nve: 8,
nea: -14,
nma: 0,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: 11,
cp: -12,
se: -7,
ce: -6,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 8,
nea: -13,
nma: 0,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 1,
sp: 5,
cp: -6,
se: 3,
ce: 3,
},
Xpl {
nl: -2,
nf: 0,
nd: 2,
nom: 1,
nme: 0,
nve: 0,
nea: 2,
nma: 0,
nju: -4,
nsa: 5,
nur: 0,
nne: 0,
npa: 0,
sp: -5,
cp: 0,
se: 0,
ce: 3,
},
Xpl {
nl: -2,
nf: 0,
nd: 2,
nom: 2,
nme: 0,
nve: 3,
nea: -3,
nma: 0,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: 6,
cp: 0,
se: 0,
ce: -3,
},
Xpl {
nl: -2,
nf: 0,
nd: 2,
nom: 0,
nme: 0,
nve: 0,
nea: 2,
nma: 0,
nju: -3,
nsa: 1,
nur: 0,
nne: 0,
npa: 0,
sp: 15,
cp: 0,
se: 0,
ce: 0,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 1,
nme: 0,
nve: 3,
nea: -5,
nma: 0,
nju: 2,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: 13,
cp: 0,
se: 0,
ce: -7,
},
Xpl {
nl: -2,
nf: 0,
nd: 2,
nom: 0,
nme: 0,
nve: 0,
nea: 2,
nma: 0,
nju: -4,
nsa: 3,
nur: 0,
nne: 0,
npa: 0,
sp: -6,
cp: -9,
se: 0,
ce: 0,
},
Xpl {
nl: 0,
nf: -1,
nd: 1,
nom: 0,
nme: 0,
nve: 0,
nea: 0,
nma: 2,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: 266,
cp: -78,
se: 0,
ce: 0,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 1,
nme: 0,
nve: 0,
nea: -1,
nma: 2,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: -460,
cp: -435,
se: -232,
ce: 246,
},
Xpl {
nl: 0,
nf: 1,
nd: -1,
nom: 2,
nme: 0,
nve: 0,
nea: -2,
nma: 2,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: 0,
cp: 15,
se: 7,
ce: 0,
},
Xpl {
nl: -1,
nf: 1,
nd: 0,
nom: 1,
nme: 0,
nve: 3,
nea: -5,
nma: 0,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: -3,
cp: 0,
se: 0,
ce: 2,
},
Xpl {
nl: -1,
nf: 0,
nd: 1,
nom: 0,
nme: 0,
nve: 3,
nea: -4,
nma: 0,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: 0,
cp: 131,
se: 0,
ce: 0,
},
Xpl {
nl: -2,
nf: 0,
nd: 2,
nom: 0,
nme: 0,
nve: 0,
nea: 2,
nma: 0,
nju: -2,
nsa: -2,
nur: 0,
nne: 0,
npa: 0,
sp: 4,
cp: 0,
se: 0,
ce: 0,
},
Xpl {
nl: -2,
nf: 2,
nd: 0,
nom: 2,
nme: 0,
nve: 0,
nea: -5,
nma: 9,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: 0,
cp: 3,
se: 0,
ce: 0,
},
Xpl {
nl: 0,
nf: 1,
nd: -1,
nom: 1,
nme: 0,
nve: 0,
nea: -1,
nma: 0,
nju: 0,
nsa: 0,
nur: -1,
nne: 0,
npa: 0,
sp: 0,
cp: 4,
se: 2,
ce: 0,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 0,
nea: 0,
nma: 0,
nju: 0,
nsa: 0,
nur: 1,
nne: 0,
npa: 0,
sp: 0,
cp: 3,
se: 0,
ce: 0,
},
Xpl {
nl: 0,
nf: 1,
nd: -1,
nom: 1,
nme: 0,
nve: 0,
nea: -1,
nma: 0,
nju: 0,
nsa: 0,
nur: 0,
nne: 2,
npa: 0,
sp: -17,
cp: -19,
se: -10,
ce: 9,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 0,
nea: 0,
nma: 0,
nju: 0,
nsa: 0,
nur: 0,
nne: 2,
npa: 1,
sp: -9,
cp: -11,
se: 6,
ce: -5,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 0,
nme: 0,
nve: 0,
nea: 0,
nma: 0,
nju: 0,
nsa: 0,
nur: 0,
nne: 2,
npa: 2,
sp: -6,
cp: 0,
se: 0,
ce: 3,
},
Xpl {
nl: -1,
nf: 0,
nd: 1,
nom: 0,
nme: 0,
nve: 0,
nea: 3,
nma: -4,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: -16,
cp: 8,
se: 0,
ce: 0,
},
Xpl {
nl: 0,
nf: -1,
nd: 1,
nom: 0,
nme: 0,
nve: 0,
nea: 1,
nma: 0,
nju: 0,
nsa: 2,
nur: 0,
nne: 0,
npa: 0,
sp: 0,
cp: 3,
se: 0,
ce: 0,
},
Xpl {
nl: 0,
nf: 1,
nd: -1,
nom: 2,
nme: 0,
nve: 0,
nea: -1,
nma: 0,
nju: 0,
nsa: 2,
nur: 0,
nne: 0,
npa: 0,
sp: 11,
cp: 24,
se: 11,
ce: -5,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 1,
nme: 0,
nve: 0,
nea: -9,
nma: 17,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: -3,
cp: -4,
se: -2,
ce: 1,
},
Xpl {
nl: 0,
nf: 0,
nd: 0,
nom: 2,
nme: 0,
nve: -3,
nea: 5,
nma: 0,
nju: 0,
nsa: 0,
nur: 0,
nne: 0,
npa: 0,
sp: 3,
cp: 0,
se: 0,
ce: -1,
},
Xpl {
nl: 0,
nf: 1,
nd: -1,
nom: 1,
nme: 0,
nve: 0,
nea: -1,
nma: 0,
nju: -1,
nsa: 2,
nur: 0,
nne: 0,
npa: 0,
sp: 0,
cp: -8,
se: -4,
ce: 0,
},
Xpl {
nl: 0,
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