sofars 0.6.0

Pure Rust implementation of the IAU SOFA library
Documentation 
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use crate::consts::{D2PI, DD2R, DJ00, DJM};

///  TDB-TT difference
///
///  An approximation to TDB-TT, the difference between barycentric
///  dynamical time and terrestrial time, for an observer on the Earth.
///
///  This function is part of the International Astronomical Union's
///  SOFA (Standards of Fundamental Astronomy) software collection.
///
///  Status:  support function.
///
///  Given:
///     date1,date2   double  date, TDB (Notes 1-3)
///     ut            double  universal time (UT1, fraction of one day)
///     elong         double  longitude (east positive, radians)
///     u             double  distance from Earth spin axis (km)
///     v             double  distance north of equatorial plane (km)
///
///  Returned (function value):
///                   double  TDB-TT (seconds)
///
///  Notes:
///
///  1) The 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.
///
///     Although the date is, formally, barycentric dynamical time (TDB),
///     the terrestrial dynamical time (TT) can be used with no practical
///     effect on the accuracy of the prediction.
///
///  2) TT can be regarded as a coordinate time that is realized as an
///     offset of 32.184s from International Atomic Time, TAI.  TT is a
///     specific linear transformation of geocentric coordinate time TCG,
///     which is the time scale for the Geocentric Celestial Reference
///     System, GCRS.
///
///  3) TDB is a coordinate time, and is a specific linear transformation
///     of barycentric coordinate time TCB, which is the time scale for
///     the Barycentric Celestial Reference System, BCRS.
///
///  4) The difference TCG-TCB depends on the masses and positions of the
///     bodies of the solar system and the velocity of the Earth.  It is
///     dominated by a rate difference, the residual being of a periodic
///     character.  The latter, which is modeled by the present function,
///     comprises a main (annual) sinusoidal term of amplitude
///     approximately 0.00166 seconds, plus planetary terms up to about
///     20 microseconds, and lunar and diurnal terms up to 2 microseconds.
///     These effects come from the changing transverse Doppler effect
///     and gravitational red-shift as the observer (on the Earth's
///     surface) experiences variations in speed (with respect to the
///     BCRS) and gravitational potential.
///
///  5) TDB can be regarded as the same as TCB but with a rate adjustment
///     to keep it close to TT, which is convenient for many applications.
///     The history of successive attempts to define TDB is set out in
///     Resolution 3 adopted by the IAU General Assembly in 2006, which
///     defines a fixed TDB(TCB) transformation that is consistent with
///     contemporary solar-system ephemerides.  Future ephemerides will
///     imply slightly changed transformations between TCG and TCB, which
///     could introduce a linear drift between TDB and TT;  however, any
///     such drift is unlikely to exceed 1 nanosecond per century.
///
///  6) The geocentric TDB-TT model used in the present function is that of
///     Fairhead & Bretagnon (1990), in its full form.  It was originally
///     supplied by Fairhead (private communications with P.T.Wallace,
///     1990) as a Fortran subroutine.  The present C function contains an
///     adaptation of the Fairhead code.  The numerical results are
///     essentially unaffected by the changes, the differences with
///     respect to the Fairhead & Bretagnon original being at the 1e-20 s
///     level.
///
///     The topocentric part of the model is from Moyer (1981) and
///     Murray (1983), with fundamental arguments adapted from
///     Simon et al. 1994.  It is an approximation to the expression
///     ( v / c ) . ( r / c ), where v is the barycentric velocity of
///     the Earth, r is the geocentric position of the observer and
///     c is the speed of light.
///
///     By supplying zeroes for u and v, the topocentric part of the
///     model can be nullified, and the function will return the Fairhead
///     & Bretagnon result alone.
///
///  7) During the interval 1950-2050, the absolute accuracy is better
///     than +/- 3 nanoseconds relative to time ephemerides obtained by
///     direct numerical integrations based on the JPL DE405 solar system
///     ephemeris.
///
///  8) It must be stressed that the present function is merely a model,
///     and that numerical integration of solar-system ephemerides is the
///     definitive method for predicting the relationship between TCG and
///     TCB and hence between TT and TDB.
///
///  References:
///
///     Fairhead, L., & Bretagnon, P., Astron.Astrophys., 229, 240-247
///     (1990).
///
///     IAU 2006 Resolution 3.
///
///     McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
///     IERS Technical Note No. 32, BKG (2004)
///
///     Moyer, T.D., Cel.Mech., 23, 33 (1981).
///
///     Murray, C.A., Vectorial Astrometry, Adam Hilger (1983).
///
///     Seidelmann, P.K. et al., Explanatory Supplement to the
///     Astronomical Almanac, Chapter 2, University Science Books (1992).
///
///     Simon, J.L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
///     Francou, G. & Laskar, J., Astron.Astrophys., 282, 663-683 (1994).
///
pub fn dtdb(date1: f64, date2: f64, ut: f64, elong: f64, u: f64, v: f64) -> f64 {
    /*
     ** =====================
     ** Fairhead et al. model
     ** =====================
     **
     ** 787 sets of three coefficients.
     **
     ** Each set is
     **    amplitude (microseconds)
     **      frequency (radians per Julian millennium since J2000.0)
     **      phase (radians)
     **
     ** Sets   1-474 are the T**0 terms
     **  "   475-679  "   "  T**1
     **  "   680-764  "   "  T**2
     **  "   765-784  "   "  T**3
     **  "   785-787  "   "  T**4
     */

    const FAIRHD: [[f64; 3]; 787] = [
        /* 1, 10 */
        [1656.674564e-6, 6283.075849991, 6.240054195],
        [22.417471e-6, 5753.384884897, 4.296977442],
        [13.839792e-6, 12566.151699983, 6.196904410],
        [4.770086e-6, 529.690965095, 0.444401603],
        [4.676740e-6, 6069.776754553, 4.021195093],
        [2.256707e-6, 213.299095438, 5.543113262],
        [1.694205e-6, -3.523118349, 5.025132748],
        [1.554905e-6, 77713.771467920, 5.198467090],
        [1.276839e-6, 7860.419392439, 5.988822341],
        [1.193379e-6, 5223.693919802, 3.649823730],
        /* 11, 20 */
        [1.115322e-6, 3930.209696220, 1.422745069],
        [0.794185e-6, 11506.769769794, 2.322313077],
        [0.447061e-6, 26.298319800, 3.615796498],
        [0.435206e-6, -398.149003408, 4.349338347],
        [0.600309e-6, 1577.343542448, 2.678271909],
        [0.496817e-6, 6208.294251424, 5.696701824],
        [0.486306e-6, 5884.926846583, 0.520007179],
        [0.432392e-6, 74.781598567, 2.435898309],
        [0.468597e-6, 6244.942814354, 5.866398759],
        [0.375510e-6, 5507.553238667, 4.103476804],
        /* 21, 30 */
        [0.243085e-6, -775.522611324, 3.651837925],
        [0.173435e-6, 18849.227549974, 6.153743485],
        [0.230685e-6, 5856.477659115, 4.773852582],
        [0.203747e-6, 12036.460734888, 4.333987818],
        [0.143935e-6, -796.298006816, 5.957517795],
        [0.159080e-6, 10977.078804699, 1.890075226],
        [0.119979e-6, 38.133035638, 4.551585768],
        [0.118971e-6, 5486.777843175, 1.914547226],
        [0.116120e-6, 1059.381930189, 0.873504123],
        [0.137927e-6, 11790.629088659, 1.135934669],
        /* 31, 40 */
        [0.098358e-6, 2544.314419883, 0.092793886],
        [0.101868e-6, -5573.142801634, 5.984503847],
        [0.080164e-6, 206.185548437, 2.095377709],
        [0.079645e-6, 4694.002954708, 2.949233637],
        [0.062617e-6, 20.775395492, 2.654394814],
        [0.075019e-6, 2942.463423292, 4.980931759],
        [0.064397e-6, 5746.271337896, 1.280308748],
        [0.063814e-6, 5760.498431898, 4.167901731],
        [0.048042e-6, 2146.165416475, 1.495846011],
        [0.048373e-6, 155.420399434, 2.251573730],
        /* 41, 50 */
        [0.058844e-6, 426.598190876, 4.839650148],
        [0.046551e-6, -0.980321068, 0.921573539],
        [0.054139e-6, 17260.154654690, 3.411091093],
        [0.042411e-6, 6275.962302991, 2.869567043],
        [0.040184e-6, -7.113547001, 3.565975565],
        [0.036564e-6, 5088.628839767, 3.324679049],
        [0.040759e-6, 12352.852604545, 3.981496998],
        [0.036507e-6, 801.820931124, 6.248866009],
        [0.036955e-6, 3154.687084896, 5.071801441],
        [0.042732e-6, 632.783739313, 5.720622217],
        /* 51, 60 */
        [0.042560e-6, 161000.685737473, 1.270837679],
        [0.040480e-6, 15720.838784878, 2.546610123],
        [0.028244e-6, -6286.598968340, 5.069663519],
        [0.033477e-6, 6062.663207553, 4.144987272],
        [0.034867e-6, 522.577418094, 5.210064075],
        [0.032438e-6, 6076.890301554, 0.749317412],
        [0.030215e-6, 7084.896781115, 3.389610345],
        [0.029247e-6, -71430.695617928, 4.183178762],
        [0.033529e-6, 9437.762934887, 2.404714239],
        [0.032423e-6, 8827.390269875, 5.541473556],
        /* 61, 70 */
        [0.027567e-6, 6279.552731642, 5.040846034],
        [0.029862e-6, 12139.553509107, 1.770181024],
        [0.022509e-6, 10447.387839604, 1.460726241],
        [0.020937e-6, 8429.241266467, 0.652303414],
        [0.020322e-6, 419.484643875, 3.735430632],
        [0.024816e-6, -1194.447010225, 1.087136918],
        [0.025196e-6, 1748.016413067, 2.901883301],
        [0.021691e-6, 14143.495242431, 5.952658009],
        [0.017673e-6, 6812.766815086, 3.186129845],
        [0.022567e-6, 6133.512652857, 3.307984806],
        /* 71, 80 */
        [0.016155e-6, 10213.285546211, 1.331103168],
        [0.014751e-6, 1349.867409659, 4.308933301],
        [0.015949e-6, -220.412642439, 4.005298270],
        [0.015974e-6, -2352.866153772, 6.145309371],
        [0.014223e-6, 17789.845619785, 2.104551349],
        [0.017806e-6, 73.297125859, 3.475975097],
        [0.013671e-6, -536.804512095, 5.971672571],
        [0.011942e-6, 8031.092263058, 2.053414715],
        [0.014318e-6, 16730.463689596, 3.016058075],
        [0.012462e-6, 103.092774219, 1.737438797],
        /* 81, 90 */
        [0.010962e-6, 3.590428652, 2.196567739],
        [0.015078e-6, 19651.048481098, 3.969480770],
        [0.010396e-6, 951.718406251, 5.717799605],
        [0.011707e-6, -4705.732307544, 2.654125618],
        [0.010453e-6, 5863.591206116, 1.913704550],
        [0.012420e-6, 4690.479836359, 4.734090399],
        [0.011847e-6, 5643.178563677, 5.489005403],
        [0.008610e-6, 3340.612426700, 3.661698944],
        [0.011622e-6, 5120.601145584, 4.863931876],
        [0.010825e-6, 553.569402842, 0.842715011],
        /* 91, 100 */
        [0.008666e-6, -135.065080035, 3.293406547],
        [0.009963e-6, 149.563197135, 4.870690598],
        [0.009858e-6, 6309.374169791, 1.061816410],
        [0.007959e-6, 316.391869657, 2.465042647],
        [0.010099e-6, 283.859318865, 1.942176992],
        [0.007147e-6, -242.728603974, 3.661486981],
        [0.007505e-6, 5230.807466803, 4.920937029],
        [0.008323e-6, 11769.853693166, 1.229392026],
        [0.007490e-6, -6256.777530192, 3.658444681],
        [0.009370e-6, 149854.400134205, 0.673880395],
        /* 101, 110 */
        [0.007117e-6, 38.027672636, 5.294249518],
        [0.007857e-6, 12168.002696575, 0.525733528],
        [0.007019e-6, 6206.809778716, 0.837688810],
        [0.006056e-6, 955.599741609, 4.194535082],
        [0.008107e-6, 13367.972631107, 3.793235253],
        [0.006731e-6, 5650.292110678, 5.639906583],
        [0.007332e-6, 36.648562930, 0.114858677],
        [0.006366e-6, 4164.311989613, 2.262081818],
        [0.006858e-6, 5216.580372801, 0.642063318],
        [0.006919e-6, 6681.224853400, 6.018501522],
        /* 111, 120 */
        [0.006826e-6, 7632.943259650, 3.458654112],
        [0.005308e-6, -1592.596013633, 2.500382359],
        [0.005096e-6, 11371.704689758, 2.547107806],
        [0.004841e-6, 5333.900241022, 0.437078094],
        [0.005582e-6, 5966.683980335, 2.246174308],
        [0.006304e-6, 11926.254413669, 2.512929171],
        [0.006603e-6, 23581.258177318, 5.393136889],
        [0.005123e-6, -1.484472708, 2.999641028],
        [0.004648e-6, 1589.072895284, 1.275847090],
        [0.005119e-6, 6438.496249426, 1.486539246],
        /* 121, 130 */
        [0.004521e-6, 4292.330832950, 6.140635794],
        [0.005680e-6, 23013.539539587, 4.557814849],
        [0.005488e-6, -3.455808046, 0.090675389],
        [0.004193e-6, 7234.794256242, 4.869091389],
        [0.003742e-6, 7238.675591600, 4.691976180],
        [0.004148e-6, -110.206321219, 3.016173439],
        [0.004553e-6, 11499.656222793, 5.554998314],
        [0.004892e-6, 5436.993015240, 1.475415597],
        [0.004044e-6, 4732.030627343, 1.398784824],
        [0.004164e-6, 12491.370101415, 5.650931916],
        /* 131, 140 */
        [0.004349e-6, 11513.883316794, 2.181745369],
        [0.003919e-6, 12528.018664345, 5.823319737],
        [0.003129e-6, 6836.645252834, 0.003844094],
        [0.004080e-6, -7058.598461315, 3.690360123],
        [0.003270e-6, 76.266071276, 1.517189902],
        [0.002954e-6, 6283.143160294, 4.447203799],
        [0.002872e-6, 28.449187468, 1.158692983],
        [0.002881e-6, 735.876513532, 0.349250250],
        [0.003279e-6, 5849.364112115, 4.893384368],
        [0.003625e-6, 6209.778724132, 1.473760578],
        /* 141, 150 */
        [0.003074e-6, 949.175608970, 5.185878737],
        [0.002775e-6, 9917.696874510, 1.030026325],
        [0.002646e-6, 10973.555686350, 3.918259169],
        [0.002575e-6, 25132.303399966, 6.109659023],
        [0.003500e-6, 263.083923373, 1.892100742],
        [0.002740e-6, 18319.536584880, 4.320519510],
        [0.002464e-6, 202.253395174, 4.698203059],
        [0.002409e-6, 2.542797281, 5.325009315],
        [0.003354e-6, -90955.551694697, 1.942656623],
        [0.002296e-6, 6496.374945429, 5.061810696],
        /* 151, 160 */
        [0.003002e-6, 6172.869528772, 2.797822767],
        [0.003202e-6, 27511.467873537, 0.531673101],
        [0.002954e-6, -6283.008539689, 4.533471191],
        [0.002353e-6, 639.897286314, 3.734548088],
        [0.002401e-6, 16200.772724501, 2.605547070],
        [0.003053e-6, 233141.314403759, 3.029030662],
        [0.003024e-6, 83286.914269554, 2.355556099],
        [0.002863e-6, 17298.182327326, 5.240963796],
        [0.002103e-6, -7079.373856808, 5.756641637],
        [0.002303e-6, 83996.847317911, 2.013686814],
        /* 161, 170 */
        [0.002303e-6, 18073.704938650, 1.089100410],
        [0.002381e-6, 63.735898303, 0.759188178],
        [0.002493e-6, 6386.168624210, 0.645026535],
        [0.002366e-6, 3.932153263, 6.215885448],
        [0.002169e-6, 11015.106477335, 4.845297676],
        [0.002397e-6, 6243.458341645, 3.809290043],
        [0.002183e-6, 1162.474704408, 6.179611691],
        [0.002353e-6, 6246.427287062, 4.781719760],
        [0.002199e-6, -245.831646229, 5.956152284],
        [0.001729e-6, 3894.181829542, 1.264976635],
        /* 171, 180 */
        [0.001896e-6, -3128.388765096, 4.914231596],
        [0.002085e-6, 35.164090221, 1.405158503],
        [0.002024e-6, 14712.317116458, 2.752035928],
        [0.001737e-6, 6290.189396992, 5.280820144],
        [0.002229e-6, 491.557929457, 1.571007057],
        [0.001602e-6, 14314.168113050, 4.203664806],
        [0.002186e-6, 454.909366527, 1.402101526],
        [0.001897e-6, 22483.848574493, 4.167932508],
        [0.001825e-6, -3738.761430108, 0.545828785],
        [0.001894e-6, 1052.268383188, 5.817167450],
        /* 181, 190 */
        [0.001421e-6, 20.355319399, 2.419886601],
        [0.001408e-6, 10984.192351700, 2.732084787],
        [0.001847e-6, 10873.986030480, 2.903477885],
        [0.001391e-6, -8635.942003763, 0.593891500],
        [0.001388e-6, -7.046236698, 1.166145902],
        [0.001810e-6, -88860.057071188, 0.487355242],
        [0.001288e-6, -1990.745017041, 3.913022880],
        [0.001297e-6, 23543.230504682, 3.063805171],
        [0.001335e-6, -266.607041722, 3.995764039],
        [0.001376e-6, 10969.965257698, 5.152914309],
        /* 191, 200 */
        [0.001745e-6, 244287.600007027, 3.626395673],
        [0.001649e-6, 31441.677569757, 1.952049260],
        [0.001416e-6, 9225.539273283, 4.996408389],
        [0.001238e-6, 4804.209275927, 5.503379738],
        [0.001472e-6, 4590.910180489, 4.164913291],
        [0.001169e-6, 6040.347246017, 5.841719038],
        [0.001039e-6, 5540.085789459, 2.769753519],
        [0.001004e-6, -170.672870619, 0.755008103],
        [0.001284e-6, 10575.406682942, 5.306538209],
        [0.001278e-6, 71.812653151, 4.713486491],
        /* 201, 210 */
        [0.001321e-6, 18209.330263660, 2.624866359],
        [0.001297e-6, 21228.392023546, 0.382603541],
        [0.000954e-6, 6282.095528923, 0.882213514],
        [0.001145e-6, 6058.731054289, 1.169483931],
        [0.000979e-6, 5547.199336460, 5.448375984],
        [0.000987e-6, -6262.300454499, 2.656486959],
        [0.001070e-6, -154717.609887482, 1.827624012],
        [0.000991e-6, 4701.116501708, 4.387001801],
        [0.001155e-6, -14.227094002, 3.042700750],
        [0.001176e-6, 277.034993741, 3.335519004],
        /* 211, 220 */
        [0.000890e-6, 13916.019109642, 5.601498297],
        [0.000884e-6, -1551.045222648, 1.088831705],
        [0.000876e-6, 5017.508371365, 3.969902609],
        [0.000806e-6, 15110.466119866, 5.142876744],
        [0.000773e-6, -4136.910433516, 0.022067765],
        [0.001077e-6, 175.166059800, 1.844913056],
        [0.000954e-6, -6284.056171060, 0.968480906],
        [0.000737e-6, 5326.786694021, 4.923831588],
        [0.000845e-6, -433.711737877, 4.749245231],
        [0.000819e-6, 8662.240323563, 5.991247817],
        /* 221, 230 */
        [0.000852e-6, 199.072001436, 2.189604979],
        [0.000723e-6, 17256.631536341, 6.068719637],
        [0.000940e-6, 6037.244203762, 6.197428148],
        [0.000885e-6, 11712.955318231, 3.280414875],
        [0.000706e-6, 12559.038152982, 2.824848947],
        [0.000732e-6, 2379.164473572, 2.501813417],
        [0.000764e-6, -6127.655450557, 2.236346329],
        [0.000908e-6, 131.541961686, 2.521257490],
        [0.000907e-6, 35371.887265976, 3.370195967],
        [0.000673e-6, 1066.495477190, 3.876512374],
        /* 231, 240 */
        [0.000814e-6, 17654.780539750, 4.627122566],
        [0.000630e-6, 36.027866677, 0.156368499],
        [0.000798e-6, 515.463871093, 5.151962502],
        [0.000798e-6, 148.078724426, 5.909225055],
        [0.000806e-6, 309.278322656, 6.054064447],
        [0.000607e-6, -39.617508346, 2.839021623],
        [0.000601e-6, 412.371096874, 3.984225404],
        [0.000646e-6, 11403.676995575, 3.852959484],
        [0.000704e-6, 13521.751441591, 2.300991267],
        [0.000603e-6, -65147.619767937, 4.140083146],
        /* 241, 250 */
        [0.000609e-6, 10177.257679534, 0.437122327],
        [0.000631e-6, 5767.611978898, 4.026532329],
        [0.000576e-6, 11087.285125918, 4.760293101],
        [0.000674e-6, 14945.316173554, 6.270510511],
        [0.000726e-6, 5429.879468239, 6.039606892],
        [0.000710e-6, 28766.924424484, 5.672617711],
        [0.000647e-6, 11856.218651625, 3.397132627],
        [0.000678e-6, -5481.254918868, 6.249666675],
        [0.000618e-6, 22003.914634870, 2.466427018],
        [0.000738e-6, 6134.997125565, 2.242668890],
        /* 251, 260 */
        [0.000660e-6, 625.670192312, 5.864091907],
        [0.000694e-6, 3496.032826134, 2.668309141],
        [0.000531e-6, 6489.261398429, 1.681888780],
        [0.000611e-6, -143571.324284214, 2.424978312],
        [0.000575e-6, 12043.574281889, 4.216492400],
        [0.000553e-6, 12416.588502848, 4.772158039],
        [0.000689e-6, 4686.889407707, 6.224271088],
        [0.000495e-6, 7342.457780181, 3.817285811],
        [0.000567e-6, 3634.621024518, 1.649264690],
        [0.000515e-6, 18635.928454536, 3.945345892],
        /* 261, 270 */
        [0.000486e-6, -323.505416657, 4.061673868],
        [0.000662e-6, 25158.601719765, 1.794058369],
        [0.000509e-6, 846.082834751, 3.053874588],
        [0.000472e-6, -12569.674818332, 5.112133338],
        [0.000461e-6, 6179.983075773, 0.513669325],
        [0.000641e-6, 83467.156352816, 3.210727723],
        [0.000520e-6, 10344.295065386, 2.445597761],
        [0.000493e-6, 18422.629359098, 1.676939306],
        [0.000478e-6, 1265.567478626, 5.487314569],
        [0.000472e-6, -18.159247265, 1.999707589],
        /* 271, 280 */
        [0.000559e-6, 11190.377900137, 5.783236356],
        [0.000494e-6, 9623.688276691, 3.022645053],
        [0.000463e-6, 5739.157790895, 1.411223013],
        [0.000432e-6, 16858.482532933, 1.179256434],
        [0.000574e-6, 72140.628666286, 1.758191830],
        [0.000484e-6, 17267.268201691, 3.290589143],
        [0.000550e-6, 4907.302050146, 0.864024298],
        [0.000399e-6, 14.977853527, 2.094441910],
        [0.000491e-6, 224.344795702, 0.878372791],
        [0.000432e-6, 20426.571092422, 6.003829241],
        /* 281, 290 */
        [0.000481e-6, 5749.452731634, 4.309591964],
        [0.000480e-6, 5757.317038160, 1.142348571],
        [0.000485e-6, 6702.560493867, 0.210580917],
        [0.000426e-6, 6055.549660552, 4.274476529],
        [0.000480e-6, 5959.570433334, 5.031351030],
        [0.000466e-6, 12562.628581634, 4.959581597],
        [0.000520e-6, 39302.096962196, 4.788002889],
        [0.000458e-6, 12132.439962106, 1.880103788],
        [0.000470e-6, 12029.347187887, 1.405611197],
        [0.000416e-6, -7477.522860216, 1.082356330],
        /* 291, 300 */
        [0.000449e-6, 11609.862544012, 4.179989585],
        [0.000465e-6, 17253.041107690, 0.353496295],
        [0.000362e-6, -4535.059436924, 1.583849576],
        [0.000383e-6, 21954.157609398, 3.747376371],
        [0.000389e-6, 17.252277143, 1.395753179],
        [0.000331e-6, 18052.929543158, 0.566790582],
        [0.000430e-6, 13517.870106233, 0.685827538],
        [0.000368e-6, -5756.908003246, 0.731374317],
        [0.000330e-6, 10557.594160824, 3.710043680],
        [0.000332e-6, 20199.094959633, 1.652901407],
        /* 301, 310 */
        [0.000384e-6, 11933.367960670, 5.827781531],
        [0.000387e-6, 10454.501386605, 2.541182564],
        [0.000325e-6, 15671.081759407, 2.178850542],
        [0.000318e-6, 138.517496871, 2.253253037],
        [0.000305e-6, 9388.005909415, 0.578340206],
        [0.000352e-6, 5749.861766548, 3.000297967],
        [0.000311e-6, 6915.859589305, 1.693574249],
        [0.000297e-6, 24072.921469776, 1.997249392],
        [0.000363e-6, -640.877607382, 5.071820966],
        [0.000323e-6, 12592.450019783, 1.072262823],
        /* 311, 320 */
        [0.000341e-6, 12146.667056108, 4.700657997],
        [0.000290e-6, 9779.108676125, 1.812320441],
        [0.000342e-6, 6132.028180148, 4.322238614],
        [0.000329e-6, 6268.848755990, 3.033827743],
        [0.000374e-6, 17996.031168222, 3.388716544],
        [0.000285e-6, -533.214083444, 4.687313233],
        [0.000338e-6, 6065.844601290, 0.877776108],
        [0.000276e-6, 24.298513841, 0.770299429],
        [0.000336e-6, -2388.894020449, 5.353796034],
        [0.000290e-6, 3097.883822726, 4.075291557],
        /* 321, 330 */
        [0.000318e-6, 709.933048357, 5.941207518],
        [0.000271e-6, 13095.842665077, 3.208912203],
        [0.000331e-6, 6073.708907816, 4.007881169],
        [0.000292e-6, 742.990060533, 2.714333592],
        [0.000362e-6, 29088.811415985, 3.215977013],
        [0.000280e-6, 12359.966151546, 0.710872502],
        [0.000267e-6, 10440.274292604, 4.730108488],
        [0.000262e-6, 838.969287750, 1.327720272],
        [0.000250e-6, 16496.361396202, 0.898769761],
        [0.000325e-6, 20597.243963041, 0.180044365],
        /* 331, 340 */
        [0.000268e-6, 6148.010769956, 5.152666276],
        [0.000284e-6, 5636.065016677, 5.655385808],
        [0.000301e-6, 6080.822454817, 2.135396205],
        [0.000294e-6, -377.373607916, 3.708784168],
        [0.000236e-6, 2118.763860378, 1.733578756],
        [0.000234e-6, 5867.523359379, 5.575209112],
        [0.000268e-6, -226858.238553767, 0.069432392],
        [0.000265e-6, 167283.761587465, 4.369302826],
        [0.000280e-6, 28237.233459389, 5.304829118],
        [0.000292e-6, 12345.739057544, 4.096094132],
        /* 341, 350 */
        [0.000223e-6, 19800.945956225, 3.069327406],
        [0.000301e-6, 43232.306658416, 6.205311188],
        [0.000264e-6, 18875.525869774, 1.417263408],
        [0.000304e-6, -1823.175188677, 3.409035232],
        [0.000301e-6, 109.945688789, 0.510922054],
        [0.000260e-6, 813.550283960, 2.389438934],
        [0.000299e-6, 316428.228673312, 5.384595078],
        [0.000211e-6, 5756.566278634, 3.789392838],
        [0.000209e-6, 5750.203491159, 1.661943545],
        [0.000240e-6, 12489.885628707, 5.684549045],
        /* 351, 360 */
        [0.000216e-6, 6303.851245484, 3.862942261],
        [0.000203e-6, 1581.959348283, 5.549853589],
        [0.000200e-6, 5642.198242609, 1.016115785],
        [0.000197e-6, -70.849445304, 4.690702525],
        [0.000227e-6, 6287.008003254, 2.911891613],
        [0.000197e-6, 533.623118358, 1.048982898],
        [0.000205e-6, -6279.485421340, 1.829362730],
        [0.000209e-6, -10988.808157535, 2.636140084],
        [0.000208e-6, -227.526189440, 4.127883842],
        [0.000191e-6, 415.552490612, 4.401165650],
        /* 361, 370 */
        [0.000190e-6, 29296.615389579, 4.175658539],
        [0.000264e-6, 66567.485864652, 4.601102551],
        [0.000256e-6, -3646.350377354, 0.506364778],
        [0.000188e-6, 13119.721102825, 2.032195842],
        [0.000185e-6, -209.366942175, 4.694756586],
        [0.000198e-6, 25934.124331089, 3.832703118],
        [0.000195e-6, 4061.219215394, 3.308463427],
        [0.000234e-6, 5113.487598583, 1.716090661],
        [0.000188e-6, 1478.866574064, 5.686865780],
        [0.000222e-6, 11823.161639450, 1.942386641],
        /* 371, 380 */
        [0.000181e-6, 10770.893256262, 1.999482059],
        [0.000171e-6, 6546.159773364, 1.182807992],
        [0.000206e-6, 70.328180442, 5.934076062],
        [0.000169e-6, 20995.392966449, 2.169080622],
        [0.000191e-6, 10660.686935042, 5.405515999],
        [0.000228e-6, 33019.021112205, 4.656985514],
        [0.000184e-6, -4933.208440333, 3.327476868],
        [0.000220e-6, -135.625325010, 1.765430262],
        [0.000166e-6, 23141.558382925, 3.454132746],
        [0.000191e-6, 6144.558353121, 5.020393445],
        /* 381, 390 */
        [0.000180e-6, 6084.003848555, 0.602182191],
        [0.000163e-6, 17782.732072784, 4.960593133],
        [0.000225e-6, 16460.333529525, 2.596451817],
        [0.000222e-6, 5905.702242076, 3.731990323],
        [0.000204e-6, 227.476132789, 5.636192701],
        [0.000159e-6, 16737.577236597, 3.600691544],
        [0.000200e-6, 6805.653268085, 0.868220961],
        [0.000187e-6, 11919.140866668, 2.629456641],
        [0.000161e-6, 127.471796607, 2.862574720],
        [0.000205e-6, 6286.666278643, 1.742882331],
        /* 391, 400 */
        [0.000189e-6, 153.778810485, 4.812372643],
        [0.000168e-6, 16723.350142595, 0.027860588],
        [0.000149e-6, 11720.068865232, 0.659721876],
        [0.000189e-6, 5237.921013804, 5.245313000],
        [0.000143e-6, 6709.674040867, 4.317625647],
        [0.000146e-6, 4487.817406270, 4.815297007],
        [0.000144e-6, -664.756045130, 5.381366880],
        [0.000175e-6, 5127.714692584, 4.728443327],
        [0.000162e-6, 6254.626662524, 1.435132069],
        [0.000187e-6, 47162.516354635, 1.354371923],
        /* 401, 410 */
        [0.000146e-6, 11080.171578918, 3.369695406],
        [0.000180e-6, -348.924420448, 2.490902145],
        [0.000148e-6, 151.047669843, 3.799109588],
        [0.000157e-6, 6197.248551160, 1.284375887],
        [0.000167e-6, 146.594251718, 0.759969109],
        [0.000133e-6, -5331.357443741, 5.409701889],
        [0.000154e-6, 95.979227218, 3.366890614],
        [0.000148e-6, -6418.140930027, 3.384104996],
        [0.000128e-6, -6525.804453965, 3.803419985],
        [0.000130e-6, 11293.470674356, 0.939039445],
        /* 411, 420 */
        [0.000152e-6, -5729.506447149, 0.734117523],
        [0.000138e-6, 210.117701700, 2.564216078],
        [0.000123e-6, 6066.595360816, 4.517099537],
        [0.000140e-6, 18451.078546566, 0.642049130],
        [0.000126e-6, 11300.584221356, 3.485280663],
        [0.000119e-6, 10027.903195729, 3.217431161],
        [0.000151e-6, 4274.518310832, 4.404359108],
        [0.000117e-6, 6072.958148291, 0.366324650],
        [0.000165e-6, -7668.637425143, 4.298212528],
        [0.000117e-6, -6245.048177356, 5.379518958],
        /* 421, 430 */
        [0.000130e-6, -5888.449964932, 4.527681115],
        [0.000121e-6, -543.918059096, 6.109429504],
        [0.000162e-6, 9683.594581116, 5.720092446],
        [0.000141e-6, 6219.339951688, 0.679068671],
        [0.000118e-6, 22743.409379516, 4.881123092],
        [0.000129e-6, 1692.165669502, 0.351407289],
        [0.000126e-6, 5657.405657679, 5.146592349],
        [0.000114e-6, 728.762966531, 0.520791814],
        [0.000120e-6, 52.596639600, 0.948516300],
        [0.000115e-6, 65.220371012, 3.504914846],
        /* 431, 440 */
        [0.000126e-6, 5881.403728234, 5.577502482],
        [0.000158e-6, 163096.180360983, 2.957128968],
        [0.000134e-6, 12341.806904281, 2.598576764],
        [0.000151e-6, 16627.370915377, 3.985702050],
        [0.000109e-6, 1368.660252845, 0.014730471],
        [0.000131e-6, 6211.263196841, 0.085077024],
        [0.000146e-6, 5792.741760812, 0.708426604],
        [0.000146e-6, -77.750543984, 3.121576600],
        [0.000107e-6, 5341.013788022, 0.288231904],
        [0.000138e-6, 6281.591377283, 2.797450317],
        /* 441, 450 */
        [0.000113e-6, -6277.552925684, 2.788904128],
        [0.000115e-6, -525.758811831, 5.895222200],
        [0.000138e-6, 6016.468808270, 6.096188999],
        [0.000139e-6, 23539.707386333, 2.028195445],
        [0.000146e-6, -4176.041342449, 4.660008502],
        [0.000107e-6, 16062.184526117, 4.066520001],
        [0.000142e-6, 83783.548222473, 2.936315115],
        [0.000128e-6, 9380.959672717, 3.223844306],
        [0.000135e-6, 6205.325306007, 1.638054048],
        [0.000101e-6, 2699.734819318, 5.481603249],
        /* 451, 460 */
        [0.000104e-6, -568.821874027, 2.205734493],
        [0.000103e-6, 6321.103522627, 2.440421099],
        [0.000119e-6, 6321.208885629, 2.547496264],
        [0.000138e-6, 1975.492545856, 2.314608466],
        [0.000121e-6, 137.033024162, 4.539108237],
        [0.000123e-6, 19402.796952817, 4.538074405],
        [0.000119e-6, 22805.735565994, 2.869040566],
        [0.000133e-6, 64471.991241142, 6.056405489],
        [0.000129e-6, -85.827298831, 2.540635083],
        [0.000131e-6, 13613.804277336, 4.005732868],
        /* 461, 470 */
        [0.000104e-6, 9814.604100291, 1.959967212],
        [0.000112e-6, 16097.679950283, 3.589026260],
        [0.000123e-6, 2107.034507542, 1.728627253],
        [0.000121e-6, 36949.230808424, 6.072332087],
        [0.000108e-6, -12539.853380183, 3.716133846],
        [0.000113e-6, -7875.671863624, 2.725771122],
        [0.000109e-6, 4171.425536614, 4.033338079],
        [0.000101e-6, 6247.911759770, 3.441347021],
        [0.000113e-6, 7330.728427345, 0.656372122],
        [0.000113e-6, 51092.726050855, 2.791483066],
        /* 471, 480 */
        [0.000106e-6, 5621.842923210, 1.815323326],
        [0.000101e-6, 111.430161497, 5.711033677],
        [0.000103e-6, 909.818733055, 2.812745443],
        [0.000101e-6, 1790.642637886, 1.965746028],
        /* T */
        [102.156724e-6, 6283.075849991, 4.249032005],
        [1.706807e-6, 12566.151699983, 4.205904248],
        [0.269668e-6, 213.299095438, 3.400290479],
        [0.265919e-6, 529.690965095, 5.836047367],
        [0.210568e-6, -3.523118349, 6.262738348],
        [0.077996e-6, 5223.693919802, 4.670344204],
        /* 481, 490 */
        [0.054764e-6, 1577.343542448, 4.534800170],
        [0.059146e-6, 26.298319800, 1.083044735],
        [0.034420e-6, -398.149003408, 5.980077351],
        [0.032088e-6, 18849.227549974, 4.162913471],
        [0.033595e-6, 5507.553238667, 5.980162321],
        [0.029198e-6, 5856.477659115, 0.623811863],
        [0.027764e-6, 155.420399434, 3.745318113],
        [0.025190e-6, 5746.271337896, 2.980330535],
        [0.022997e-6, -796.298006816, 1.174411803],
        [0.024976e-6, 5760.498431898, 2.467913690],
        /* 491, 500 */
        [0.021774e-6, 206.185548437, 3.854787540],
        [0.017925e-6, -775.522611324, 1.092065955],
        [0.013794e-6, 426.598190876, 2.699831988],
        [0.013276e-6, 6062.663207553, 5.845801920],
        [0.011774e-6, 12036.460734888, 2.292832062],
        [0.012869e-6, 6076.890301554, 5.333425680],
        [0.012152e-6, 1059.381930189, 6.222874454],
        [0.011081e-6, -7.113547001, 5.154724984],
        [0.010143e-6, 4694.002954708, 4.044013795],
        [0.009357e-6, 5486.777843175, 3.416081409],
        /* 501, 510 */
        [0.010084e-6, 522.577418094, 0.749320262],
        [0.008587e-6, 10977.078804699, 2.777152598],
        [0.008628e-6, 6275.962302991, 4.562060226],
        [0.008158e-6, -220.412642439, 5.806891533],
        [0.007746e-6, 2544.314419883, 1.603197066],
        [0.007670e-6, 2146.165416475, 3.000200440],
        [0.007098e-6, 74.781598567, 0.443725817],
        [0.006180e-6, -536.804512095, 1.302642751],
        [0.005818e-6, 5088.628839767, 4.827723531],
        [0.004945e-6, -6286.598968340, 0.268305170],
        /* 511, 520 */
        [0.004774e-6, 1349.867409659, 5.808636673],
        [0.004687e-6, -242.728603974, 5.154890570],
        [0.006089e-6, 1748.016413067, 4.403765209],
        [0.005975e-6, -1194.447010225, 2.583472591],
        [0.004229e-6, 951.718406251, 0.931172179],
        [0.005264e-6, 553.569402842, 2.336107252],
        [0.003049e-6, 5643.178563677, 1.362634430],
        [0.002974e-6, 6812.766815086, 1.583012668],
        [0.003403e-6, -2352.866153772, 2.552189886],
        [0.003030e-6, 419.484643875, 5.286473844],
        /* 521, 530 */
        [0.003210e-6, -7.046236698, 1.863796539],
        [0.003058e-6, 9437.762934887, 4.226420633],
        [0.002589e-6, 12352.852604545, 1.991935820],
        [0.002927e-6, 5216.580372801, 2.319951253],
        [0.002425e-6, 5230.807466803, 3.084752833],
        [0.002656e-6, 3154.687084896, 2.487447866],
        [0.002445e-6, 10447.387839604, 2.347139160],
        [0.002990e-6, 4690.479836359, 6.235872050],
        [0.002890e-6, 5863.591206116, 0.095197563],
        [0.002498e-6, 6438.496249426, 2.994779800],
        /* 531, 540 */
        [0.001889e-6, 8031.092263058, 3.569003717],
        [0.002567e-6, 801.820931124, 3.425611498],
        [0.001803e-6, -71430.695617928, 2.192295512],
        [0.001782e-6, 3.932153263, 5.180433689],
        [0.001694e-6, -4705.732307544, 4.641779174],
        [0.001704e-6, -1592.596013633, 3.997097652],
        [0.001735e-6, 5849.364112115, 0.417558428],
        [0.001643e-6, 8429.241266467, 2.180619584],
        [0.001680e-6, 38.133035638, 4.164529426],
        [0.002045e-6, 7084.896781115, 0.526323854],
        /* 541, 550 */
        [0.001458e-6, 4292.330832950, 1.356098141],
        [0.001437e-6, 20.355319399, 3.895439360],
        [0.001738e-6, 6279.552731642, 0.087484036],
        [0.001367e-6, 14143.495242431, 3.987576591],
        [0.001344e-6, 7234.794256242, 0.090454338],
        [0.001438e-6, 11499.656222793, 0.974387904],
        [0.001257e-6, 6836.645252834, 1.509069366],
        [0.001358e-6, 11513.883316794, 0.495572260],
        [0.001628e-6, 7632.943259650, 4.968445721],
        [0.001169e-6, 103.092774219, 2.838496795],
        /* 551, 560 */
        [0.001162e-6, 4164.311989613, 3.408387778],
        [0.001092e-6, 6069.776754553, 3.617942651],
        [0.001008e-6, 17789.845619785, 0.286350174],
        [0.001008e-6, 639.897286314, 1.610762073],
        [0.000918e-6, 10213.285546211, 5.532798067],
        [0.001011e-6, -6256.777530192, 0.661826484],
        [0.000753e-6, 16730.463689596, 3.905030235],
        [0.000737e-6, 11926.254413669, 4.641956361],
        [0.000694e-6, 3340.612426700, 2.111120332],
        [0.000701e-6, 3894.181829542, 2.760823491],
        /* 561, 570 */
        [0.000689e-6, -135.065080035, 4.768800780],
        [0.000700e-6, 13367.972631107, 5.760439898],
        [0.000664e-6, 6040.347246017, 1.051215840],
        [0.000654e-6, 5650.292110678, 4.911332503],
        [0.000788e-6, 6681.224853400, 4.699648011],
        [0.000628e-6, 5333.900241022, 5.024608847],
        [0.000755e-6, -110.206321219, 4.370971253],
        [0.000628e-6, 6290.189396992, 3.660478857],
        [0.000635e-6, 25132.303399966, 4.121051532],
        [0.000534e-6, 5966.683980335, 1.173284524],
        /* 571, 580 */
        [0.000543e-6, -433.711737877, 0.345585464],
        [0.000517e-6, -1990.745017041, 5.414571768],
        [0.000504e-6, 5767.611978898, 2.328281115],
        [0.000485e-6, 5753.384884897, 1.685874771],
        [0.000463e-6, 7860.419392439, 5.297703006],
        [0.000604e-6, 515.463871093, 0.591998446],
        [0.000443e-6, 12168.002696575, 4.830881244],
        [0.000570e-6, 199.072001436, 3.899190272],
        [0.000465e-6, 10969.965257698, 0.476681802],
        [0.000424e-6, -7079.373856808, 1.112242763],
        /* 581, 590 */
        [0.000427e-6, 735.876513532, 1.994214480],
        [0.000478e-6, -6127.655450557, 3.778025483],
        [0.000414e-6, 10973.555686350, 5.441088327],
        [0.000512e-6, 1589.072895284, 0.107123853],
        [0.000378e-6, 10984.192351700, 0.915087231],
        [0.000402e-6, 11371.704689758, 4.107281715],
        [0.000453e-6, 9917.696874510, 1.917490952],
        [0.000395e-6, 149.563197135, 2.763124165],
        [0.000371e-6, 5739.157790895, 3.112111866],
        [0.000350e-6, 11790.629088659, 0.440639857],
        /* 591, 600 */
        [0.000356e-6, 6133.512652857, 5.444568842],
        [0.000344e-6, 412.371096874, 5.676832684],
        [0.000383e-6, 955.599741609, 5.559734846],
        [0.000333e-6, 6496.374945429, 0.261537984],
        [0.000340e-6, 6055.549660552, 5.975534987],
        [0.000334e-6, 1066.495477190, 2.335063907],
        [0.000399e-6, 11506.769769794, 5.321230910],
        [0.000314e-6, 18319.536584880, 2.313312404],
        [0.000424e-6, 1052.268383188, 1.211961766],
        [0.000307e-6, 63.735898303, 3.169551388],
        /* 601, 610 */
        [0.000329e-6, 29.821438149, 6.106912080],
        [0.000357e-6, 6309.374169791, 4.223760346],
        [0.000312e-6, -3738.761430108, 2.180556645],
        [0.000301e-6, 309.278322656, 1.499984572],
        [0.000268e-6, 12043.574281889, 2.447520648],
        [0.000257e-6, 12491.370101415, 3.662331761],
        [0.000290e-6, 625.670192312, 1.272834584],
        [0.000256e-6, 5429.879468239, 1.913426912],
        [0.000339e-6, 3496.032826134, 4.165930011],
        [0.000283e-6, 3930.209696220, 4.325565754],
        /* 611, 620 */
        [0.000241e-6, 12528.018664345, 3.832324536],
        [0.000304e-6, 4686.889407707, 1.612348468],
        [0.000259e-6, 16200.772724501, 3.470173146],
        [0.000238e-6, 12139.553509107, 1.147977842],
        [0.000236e-6, 6172.869528772, 3.776271728],
        [0.000296e-6, -7058.598461315, 0.460368852],
        [0.000306e-6, 10575.406682942, 0.554749016],
        [0.000251e-6, 17298.182327326, 0.834332510],
        [0.000290e-6, 4732.030627343, 4.759564091],
        [0.000261e-6, 5884.926846583, 0.298259862],
        /* 621, 630 */
        [0.000249e-6, 5547.199336460, 3.749366406],
        [0.000213e-6, 11712.955318231, 5.415666119],
        [0.000223e-6, 4701.116501708, 2.703203558],
        [0.000268e-6, -640.877607382, 0.283670793],
        [0.000209e-6, 5636.065016677, 1.238477199],
        [0.000193e-6, 10177.257679534, 1.943251340],
        [0.000182e-6, 6283.143160294, 2.456157599],
        [0.000184e-6, -227.526189440, 5.888038582],
        [0.000182e-6, -6283.008539689, 0.241332086],
        [0.000228e-6, -6284.056171060, 2.657323816],
        /* 631, 640 */
        [0.000166e-6, 7238.675591600, 5.930629110],
        [0.000167e-6, 3097.883822726, 5.570955333],
        [0.000159e-6, -323.505416657, 5.786670700],
        [0.000154e-6, -4136.910433516, 1.517805532],
        [0.000176e-6, 12029.347187887, 3.139266834],
        [0.000167e-6, 12132.439962106, 3.556352289],
        [0.000153e-6, 202.253395174, 1.463313961],
        [0.000157e-6, 17267.268201691, 1.586837396],
        [0.000142e-6, 83996.847317911, 0.022670115],
        [0.000152e-6, 17260.154654690, 0.708528947],
        /* 641, 650 */
        [0.000144e-6, 6084.003848555, 5.187075177],
        [0.000135e-6, 5756.566278634, 1.993229262],
        [0.000134e-6, 5750.203491159, 3.457197134],
        [0.000144e-6, 5326.786694021, 6.066193291],
        [0.000160e-6, 11015.106477335, 1.710431974],
        [0.000133e-6, 3634.621024518, 2.836451652],
        [0.000134e-6, 18073.704938650, 5.453106665],
        [0.000134e-6, 1162.474704408, 5.326898811],
        [0.000128e-6, 5642.198242609, 2.511652591],
        [0.000160e-6, 632.783739313, 5.628785365],
        /* 651, 660 */
        [0.000132e-6, 13916.019109642, 0.819294053],
        [0.000122e-6, 14314.168113050, 5.677408071],
        [0.000125e-6, 12359.966151546, 5.251984735],
        [0.000121e-6, 5749.452731634, 2.210924603],
        [0.000136e-6, -245.831646229, 1.646502367],
        [0.000120e-6, 5757.317038160, 3.240883049],
        [0.000134e-6, 12146.667056108, 3.059480037],
        [0.000137e-6, 6206.809778716, 1.867105418],
        [0.000141e-6, 17253.041107690, 2.069217456],
        [0.000129e-6, -7477.522860216, 2.781469314],
        /* 661, 670 */
        [0.000116e-6, 5540.085789459, 4.281176991],
        [0.000116e-6, 9779.108676125, 3.320925381],
        [0.000129e-6, 5237.921013804, 3.497704076],
        [0.000113e-6, 5959.570433334, 0.983210840],
        [0.000122e-6, 6282.095528923, 2.674938860],
        [0.000140e-6, -11.045700264, 4.957936982],
        [0.000108e-6, 23543.230504682, 1.390113589],
        [0.000106e-6, -12569.674818332, 0.429631317],
        [0.000110e-6, -266.607041722, 5.501340197],
        [0.000115e-6, 12559.038152982, 4.691456618],
        /* 671, 680 */
        [0.000134e-6, -2388.894020449, 0.577313584],
        [0.000109e-6, 10440.274292604, 6.218148717],
        [0.000102e-6, -543.918059096, 1.477842615],
        [0.000108e-6, 21228.392023546, 2.237753948],
        [0.000101e-6, -4535.059436924, 3.100492232],
        [0.000103e-6, 76.266071276, 5.594294322],
        [0.000104e-6, 949.175608970, 5.674287810],
        [0.000101e-6, 13517.870106233, 2.196632348],
        [0.000100e-6, 11933.367960670, 4.056084160],
        /* T^2 */
        [4.322990e-6, 6283.075849991, 2.642893748],
        /* 681, 690 */
        [0.406495e-6, 0.000000000, 4.712388980],
        [0.122605e-6, 12566.151699983, 2.438140634],
        [0.019476e-6, 213.299095438, 1.642186981],
        [0.016916e-6, 529.690965095, 4.510959344],
        [0.013374e-6, -3.523118349, 1.502210314],
        [0.008042e-6, 26.298319800, 0.478549024],
        [0.007824e-6, 155.420399434, 5.254710405],
        [0.004894e-6, 5746.271337896, 4.683210850],
        [0.004875e-6, 5760.498431898, 0.759507698],
        [0.004416e-6, 5223.693919802, 6.028853166],
        /* 691, 700 */
        [0.004088e-6, -7.113547001, 0.060926389],
        [0.004433e-6, 77713.771467920, 3.627734103],
        [0.003277e-6, 18849.227549974, 2.327912542],
        [0.002703e-6, 6062.663207553, 1.271941729],
        [0.003435e-6, -775.522611324, 0.747446224],
        [0.002618e-6, 6076.890301554, 3.633715689],
        [0.003146e-6, 206.185548437, 5.647874613],
        [0.002544e-6, 1577.343542448, 6.232904270],
        [0.002218e-6, -220.412642439, 1.309509946],
        [0.002197e-6, 5856.477659115, 2.407212349],
        /* 701, 710 */
        [0.002897e-6, 5753.384884897, 5.863842246],
        [0.001766e-6, 426.598190876, 0.754113147],
        [0.001738e-6, -796.298006816, 2.714942671],
        [0.001695e-6, 522.577418094, 2.629369842],
        [0.001584e-6, 5507.553238667, 1.341138229],
        [0.001503e-6, -242.728603974, 0.377699736],
        [0.001552e-6, -536.804512095, 2.904684667],
        [0.001370e-6, -398.149003408, 1.265599125],
        [0.001889e-6, -5573.142801634, 4.413514859],
        [0.001722e-6, 6069.776754553, 2.445966339],
        /* 711, 720 */
        [0.001124e-6, 1059.381930189, 5.041799657],
        [0.001258e-6, 553.569402842, 3.849557278],
        [0.000831e-6, 951.718406251, 2.471094709],
        [0.000767e-6, 4694.002954708, 5.363125422],
        [0.000756e-6, 1349.867409659, 1.046195744],
        [0.000775e-6, -11.045700264, 0.245548001],
        [0.000597e-6, 2146.165416475, 4.543268798],
        [0.000568e-6, 5216.580372801, 4.178853144],
        [0.000711e-6, 1748.016413067, 5.934271972],
        [0.000499e-6, 12036.460734888, 0.624434410],
        /* 721, 730 */
        [0.000671e-6, -1194.447010225, 4.136047594],
        [0.000488e-6, 5849.364112115, 2.209679987],
        [0.000621e-6, 6438.496249426, 4.518860804],
        [0.000495e-6, -6286.598968340, 1.868201275],
        [0.000456e-6, 5230.807466803, 1.271231591],
        [0.000451e-6, 5088.628839767, 0.084060889],
        [0.000435e-6, 5643.178563677, 3.324456609],
        [0.000387e-6, 10977.078804699, 4.052488477],
        [0.000547e-6, 161000.685737473, 2.841633844],
        [0.000522e-6, 3154.687084896, 2.171979966],
        /* 731, 740 */
        [0.000375e-6, 5486.777843175, 4.983027306],
        [0.000421e-6, 5863.591206116, 4.546432249],
        [0.000439e-6, 7084.896781115, 0.522967921],
        [0.000309e-6, 2544.314419883, 3.172606705],
        [0.000347e-6, 4690.479836359, 1.479586566],
        [0.000317e-6, 801.820931124, 3.553088096],
        [0.000262e-6, 419.484643875, 0.606635550],
        [0.000248e-6, 6836.645252834, 3.014082064],
        [0.000245e-6, -1592.596013633, 5.519526220],
        [0.000225e-6, 4292.330832950, 2.877956536],
        /* 741, 750 */
        [0.000214e-6, 7234.794256242, 1.605227587],
        [0.000205e-6, 5767.611978898, 0.625804796],
        [0.000180e-6, 10447.387839604, 3.499954526],
        [0.000229e-6, 199.072001436, 5.632304604],
        [0.000214e-6, 639.897286314, 5.960227667],
        [0.000175e-6, -433.711737877, 2.162417992],
        [0.000209e-6, 515.463871093, 2.322150893],
        [0.000173e-6, 6040.347246017, 2.556183691],
        [0.000184e-6, 6309.374169791, 4.732296790],
        [0.000227e-6, 149854.400134205, 5.385812217],
        /* 751, 760 */
        [0.000154e-6, 8031.092263058, 5.120720920],
        [0.000151e-6, 5739.157790895, 4.815000443],
        [0.000197e-6, 7632.943259650, 0.222827271],
        [0.000197e-6, 74.781598567, 3.910456770],
        [0.000138e-6, 6055.549660552, 1.397484253],
        [0.000149e-6, -6127.655450557, 5.333727496],
        [0.000137e-6, 3894.181829542, 4.281749907],
        [0.000135e-6, 9437.762934887, 5.979971885],
        [0.000139e-6, -2352.866153772, 4.715630782],
        [0.000142e-6, 6812.766815086, 0.513330157],
        /* 761, 770 */
        [0.000120e-6, -4705.732307544, 0.194160689],
        [0.000131e-6, -71430.695617928, 0.000379226],
        [0.000124e-6, 6279.552731642, 2.122264908],
        [0.000108e-6, -6256.777530192, 0.883445696],
        /* T^3 */
        [0.143388e-6, 6283.075849991, 1.131453581],
        [0.006671e-6, 12566.151699983, 0.775148887],
        [0.001480e-6, 155.420399434, 0.480016880],
        [0.000934e-6, 213.299095438, 6.144453084],
        [0.000795e-6, 529.690965095, 2.941595619],
        [0.000673e-6, 5746.271337896, 0.120415406],
        /* 771, 780 */
        [0.000672e-6, 5760.498431898, 5.317009738],
        [0.000389e-6, -220.412642439, 3.090323467],
        [0.000373e-6, 6062.663207553, 3.003551964],
        [0.000360e-6, 6076.890301554, 1.918913041],
        [0.000316e-6, -21.340641002, 5.545798121],
        [0.000315e-6, -242.728603974, 1.884932563],
        [0.000278e-6, 206.185548437, 1.266254859],
        [0.000238e-6, -536.804512095, 4.532664830],
        [0.000185e-6, 522.577418094, 4.578313856],
        [0.000245e-6, 18849.227549974, 0.587467082],
        /* 781, 787 */
        [0.000180e-6, 426.598190876, 5.151178553],
        [0.000200e-6, 553.569402842, 5.355983739],
        [0.000141e-6, 5223.693919802, 1.336556009],
        [0.000104e-6, 5856.477659115, 4.239842759],
        /* T^4 */
        [0.003826e-6, 6283.075849991, 5.705257275],
        [0.000303e-6, 12566.151699983, 5.407132842],
        [0.000209e-6, 155.420399434, 1.989815753],
    ];

    /* Time since J2000.0 in Julian millennia. */
    let t = ((date1 - DJ00) + date2) / DJM;

    /* ================= */
    /* Topocentric terms */
    /* ================= */

    /* Convert UT to local solar time in radians. */
    let tsol = (ut % 1.0) * D2PI + elong;

    /* FUNDAMENTAL ARGUMENTS:  Simon et al. 1994. */

    /* Combine time argument (millennia) with deg/arcsec factor. */
    let w_arg = t / 3600.0;

    /* Sun Mean Longitude. */
    let elsun = (280.46645683 + 1296027711.03429 * w_arg).rem_euclid(360.0) * DD2R;

    /* Sun Mean Anomaly. */
    let emsun = (357.52910918 + 1295965810.481 * w_arg).rem_euclid(360.0) * DD2R;

    /* Mean Elongation of Moon from Sun. */
    let d_moon = (297.85019547 + 16029616012.090 * w_arg).rem_euclid(360.0) * DD2R;

    /* Mean Longitude of Jupiter. */
    let elj = (34.35151874 + 109306899.89453 * w_arg).rem_euclid(360.0) * DD2R;

    /* Mean Longitude of Saturn. */
    let els = (50.07744430 + 44046398.47038 * w_arg).rem_euclid(360.0) * DD2R;

    /* TOPOCENTRIC TERMS:  Moyer 1981 and Murray 1983. */
    let wt = 0.00029e-10 * u * (tsol + elsun - els).sin()
        + 0.00100e-10 * u * (tsol - 2.0 * emsun).sin()
        + 0.00133e-10 * u * (tsol - d_moon).sin()
        + 0.00133e-10 * u * (tsol + elsun - elj).sin()
        - 0.00229e-10 * u * (tsol + 2.0 * elsun + emsun).sin()
        - 0.02200e-10 * v * (elsun + emsun).cos()
        + 0.05312e-10 * u * (tsol - emsun).sin()
        - 0.13677e-10 * u * (tsol + 2.0 * elsun).sin()
        - 1.31840e-10 * v * elsun.cos()
        + 3.17679e-10 * u * tsol.sin();

    /* ===================== */
    /* Fairhead et al. model */
    /* ===================== */

    /* T**0 */
    let mut w0 = 0.0;
    for j in (0..=473).rev() {
        w0 += FAIRHD[j][0] * (FAIRHD[j][1] * t + FAIRHD[j][2]).sin();
    }

    /* T**1 */
    let mut w1 = 0.0;
    for j in (474..=678).rev() {
        w1 += FAIRHD[j][0] * (FAIRHD[j][1] * t + FAIRHD[j][2]).sin();
    }

    /* T**2 */
    let mut w2 = 0.0;
    for j in (679..=763).rev() {
        w2 += FAIRHD[j][0] * (FAIRHD[j][1] * t + FAIRHD[j][2]).sin();
    }

    /* T**3 */
    let mut w3 = 0.0;
    for j in (764..=783).rev() {
        w3 += FAIRHD[j][0] * (FAIRHD[j][1] * t + FAIRHD[j][2]).sin();
    }

    /* T**4 */
    let mut w4 = 0.0;
    for j in (784..=786).rev() {
        w4 += FAIRHD[j][0] * (FAIRHD[j][1] * t + FAIRHD[j][2]).sin();
    }

    /* Multiply by powers of T and combine. */
    let wf = t * (t * (t * (t * w4 + w3) + w2) + w1) + w0;

    /* Adjustments to use JPL planetary masses instead of IAU. */
    let wj = 0.00065e-6 * (6069.776754 * t + 4.021194).sin()
        + 0.00033e-6 * (213.299095 * t + 5.543132).sin()
        + (-0.00196e-6 * (6208.294251 * t + 5.696701).sin())
        + (-0.00173e-6 * (74.781599 * t + 2.435900).sin())
        + 0.03638e-6 * t * t;

    /* ============ */
    /* Final result */
    /* ============ */

    /* TDB-TT in seconds. */
    wt + wf + wj
}