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1869 lines (1801 loc) · 99.1 KB
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/* Copyright (C) 2018, Project Pluto
This program is free software; you can redistribute it and/or
modify it under the terms of the GNU General Public License
as published by the Free Software Foundation; either version 2
of the License, or (at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301, USA. */
#include <stdlib.h>
#include <stdio.h>
#include <stdbool.h>
#include <assert.h>
#include <math.h>
/* MS only got around to adding 'isfinite', asinh in VS2013 : */
#if defined( _MSC_VER) && (_MSC_VER < 1800)
#include <float.h>
#define isnan _isnan
#endif
long double geo_potential( const long double x, const long double y,
const long double z, long double *derivs,
int n_terms); /* geo_pot.c */
double geo_potential_in_au( const double x, const double y, const double z,
double *derivs, const int n_terms); /* geo_pot.c */
#define PI 3.1415926535897932384626433832795028841971693993751058209749445923
#ifdef __WATCOMC__
/* OpenWATCOM apparently lacks sqrtl()... : */
static long double sqrtl( const long double ival)
{
assert( ival > 0.);
return( (long double)sqrt( (double)ival));
}
/* ...and we have a smaller stack to work with : */
#define N_TERMS 10
#else
/* Everyplace else, we can go with a lot of spherical harmonic
terms (more than are probably ever apt to be really needed) : */
#define N_TERMS 50
#endif
/* First few terms for the Earth geopotential expansion, from GGM03C
http://www.csr.utexas.edu/grace/gravity/
THE COMBINATION GRAVITY FIELD MODEL GGM03C
B. Tapley, J. Ries, S. Bettadpur, D. Chambers, M. Cheng, F. Condi, S. Poole
Eos Trans. AGU 88(52), Fall Meet. Suppl., Abstract G42A-03, 2007.
See 'gfc_xvt.c' from the 'miscell' project for the code that reads
in the gravitational field coefficient (GFC) data and outputs it in the
convenient C array below. Note that data in the same format is available
for the Moon, Mars, and Venus; it should be quite easy to add them to
Find_Orb in the same way, if we ever decide that would matter. */
static long double ggm03c_terms[] = {
// 1.000000000000E+00, 0.000000000000E+00, /* 0 0 */
0.000000000000E+00, 0.000000000000E+00, /* 0 0 */
0.000000000000E+00, 0.000000000000E+00, /* 1 0 */
0.000000000000E+00, 0.000000000000E+00, /* 1 1 */
-4.841693259705E-04, 0.000000000000E+00, /* 2 0 */
-2.189810040712E-10, 1.467451636117E-09, /* 2 1 */
2.439349093502E-06, -1.400284857733E-06 /* 2 2 */
#if( N_TERMS >= 3)
, 9.572141520460E-07, 0.000000000000E+00, /* 3 0 */
2.030465664514E-06, 2.482058936058E-07, /* 3 1 */
9.047902456370E-07, -6.189883025458E-07, /* 3 2 */
7.212791564398E-07, 1.414371726452E-06 /* 3 3 */
#endif
#if( N_TERMS >= 4)
, 5.399939212992E-07, 0.000000000000E+00, /* 4 0 */
-5.361485981769E-07, -4.735637114812E-07, /* 4 1 */
3.504959888509E-07, 6.624861198979E-07, /* 4 2 */
9.908596610199E-07, -2.009482969644E-07, /* 4 3 */
-1.885028579771E-07, 3.088181177841E-07 /* 4 4 */
#endif
#if( N_TERMS >= 5)
, 6.866459123078E-08, 0.000000000000E+00, /* 5 0 */
-6.292437578812E-08, -9.437639579747E-08, /* 5 1 */
6.520829513600E-07, -3.233447156874E-07, /* 5 2 */
-4.518631283604E-07, -2.149525780362E-07, /* 5 3 */
-2.953287028053E-07, 4.980758726087E-08, /* 5 4 */
1.748027838266E-07, -6.693662895546E-07 /* 5 5 */
#endif
#if( N_TERMS >= 6)
, -1.499598315082E-07, 0.000000000000E+00, /* 6 0 */
-7.592679318459E-08, 2.651579309953E-08, /* 6 1 */
4.864305116787E-08, -3.737893103795E-07, /* 6 2 */
5.724155838410E-08, 8.951781823528E-09, /* 6 3 */
-8.601539327927E-08, -4.714232419474E-07, /* 6 4 */
-2.671803868285E-07, -5.364978063152E-07, /* 6 5 */
9.479463406484E-09, -2.373900388358E-07 /* 6 6 */
#endif
#if( N_TERMS >= 7)
, 9.050533439774E-08, 0.000000000000E+00, /* 7 0 */
2.808844953664E-07, 9.512526225104E-08, /* 7 1 */
3.304034289230E-07, 9.300153897576E-08, /* 7 2 */
2.504519105576E-07, -2.171158524106E-07, /* 7 3 */
-2.749960076819E-07, -1.240599610585E-07, /* 7 4 */
1.654111622021E-09, 1.793036569452E-08, /* 7 5 */
-3.588080478271E-07, 1.517987797259E-07, /* 7 6 */
1.519585748601E-09, 2.411089308219E-08 /* 7 7 */
#endif
#if( N_TERMS >= 8)
, 4.947717763987E-08, 0.000000000000E+00, /* 8 0 */
2.315213224240E-08, 5.889587918459E-08, /* 8 1 */
8.000904745527E-08, 6.528471379426E-08, /* 8 2 */
-1.937059244511E-08, -8.596167867757E-08, /* 8 3 */
-2.443554104084E-07, 6.980953427522E-08, /* 8 4 */
-2.570597539876E-08, 8.920039898598E-08, /* 8 5 */
-6.596539742152E-08, 3.089454690559E-07, /* 8 6 */
6.725805803981E-08, 7.486496285677E-08, /* 8 7 */
-1.240398774721E-07, 1.205432614900E-07 /* 8 8 */
#endif
#if( N_TERMS >= 9)
, 2.802144939761E-08, 0.000000000000E+00, /* 9 0 */
1.421474978635E-07, 2.139928699393E-08, /* 9 1 */
2.141353565702E-08, -3.169745130049E-08, /* 9 2 */
-1.606164564971E-07, -7.426942694866E-08, /* 9 3 */
-9.365864322082E-09, 1.990088295118E-08, /* 9 4 */
-1.630736109276E-08, -5.404137940019E-08, /* 9 5 */
6.278540857791E-08, 2.229662503132E-07, /* 9 6 */
-1.179868812654E-07, -9.692724908489E-08, /* 9 7 */
1.881423076311E-07, -3.000354849246E-09, /* 9 8 */
-4.755335402828E-08, 9.687123446288E-08 /* 9 9 */
#endif
#if( N_TERMS >= 10)
, 5.332872206339E-08, 0.000000000000E+00, /* 10 0 */
8.376111145897E-08, -1.310928645967E-07, /* 10 1 */
-9.399255140566E-08, -5.127653720129E-08, /* 10 2 */
-7.005368053537E-09, -1.541425435369E-07, /* 10 3 */
-8.446628400020E-08, -7.902664299306E-08, /* 10 4 */
-4.929098071452E-08, -5.061601820481E-08, /* 10 5 */
-3.758514495974E-08, -7.977013211026E-08, /* 10 6 */
8.260939438061E-09, -3.046340591979E-09, /* 10 7 */
4.059211174828E-08, -9.171581581980E-08, /* 10 8 */
1.253832700848E-07, -3.794425045512E-08, /* 10 9 */
1.004229077541E-07, -2.385629426228E-08 /* 10 10 */
#endif
#if( N_TERMS >= 11)
, -5.076684067354E-08, 0.000000000000E+00, /* 11 0 */
1.561187804078E-08, -2.712348064969E-08, /* 11 1 */
2.011423100703E-08, -9.899946750685E-08, /* 11 2 */
-3.057925186015E-08, -1.488361487913E-07, /* 11 3 */
-3.795224682616E-08, -6.377016394095E-08, /* 11 4 */
3.742247518693E-08, 4.959112109226E-08, /* 11 5 */
-1.565920036827E-09, 3.427367173521E-08, /* 11 6 */
4.654747377856E-09, -8.982781854875E-08, /* 11 7 */
-6.301356391485E-09, 2.454773002353E-08, /* 11 8 */
-3.107538124489E-08, 4.207091340282E-08, /* 11 9 */
-5.224977584439E-08, -1.841642451641E-08, /* 11 10 */
4.623389723690E-08, -6.967357602229E-08 /* 11 11 */
#endif
#if( N_TERMS >= 12)
, 3.643698716802E-08, 0.000000000000E+00, /* 12 0 */
-5.358752398482E-08, -4.316458223037E-08, /* 12 1 */
1.426661258608E-08, 3.109064951397E-08, /* 12 2 */
3.962415995470E-08, 2.506149544819E-08, /* 12 3 */
-6.772572133772E-08, 3.839316687212E-09, /* 12 4 */
3.087560954874E-08, 7.588579694650E-09, /* 12 5 */
3.132644254277E-09, 3.898098866254E-08, /* 12 6 */
-1.905168826766E-08, 3.572792342750E-08, /* 12 7 */
-2.588852721232E-08, 1.693748226686E-08, /* 12 8 */
4.191770164809E-08, 2.496229497578E-08, /* 12 9 */
-6.199896784872E-09, 3.093427812562E-08, /* 12 10 */
1.136258459209E-08, -6.385321730657E-09, /* 12 11 */
-2.423026558875E-09, -1.111510144261E-08 /* 12 12 */
#endif
#if( N_TERMS >= 13)
, 4.173145479803E-08, 0.000000000000E+00, /* 13 0 */
-5.144000572708E-08, 3.869034387873E-08, /* 13 1 */
5.530988811097E-08, -6.269439481257E-08, /* 13 2 */
-2.155800022081E-08, 9.768510167924E-08, /* 13 3 */
-3.651797523913E-09, -1.175070318615E-08, /* 13 4 */
5.837167041440E-08, 6.722686386365E-08, /* 13 5 */
-3.504446356069E-08, -6.273525421439E-09, /* 13 6 */
3.015092155107E-09, -7.323017189905E-09, /* 13 7 */
-1.005497521179E-08, -9.857235841573E-09, /* 13 8 */
2.476679196786E-08, 4.589035920265E-08, /* 13 9 */
4.110412490315E-08, -3.683656180493E-08, /* 13 10 */
-4.452226413314E-08, -4.841568358339E-09, /* 13 11 */
-3.131887022807E-08, 8.793436179258E-08, /* 13 12 */
-6.120881679019E-08, 6.814363771627E-08 /* 13 13 */
#endif
#if( N_TERMS >= 14)
, -2.266932614809E-08, 0.000000000000E+00, /* 14 0 */
-1.877109781623E-08, 2.886211920225E-08, /* 14 1 */
-3.591920480342E-08, -4.054659579019E-09, /* 14 2 */
3.651607433528E-08, 1.969199774505E-08, /* 14 3 */
1.602910566428E-09, -2.266180766986E-08, /* 14 4 */
2.930775661205E-08, -1.679010211399E-08, /* 14 5 */
-1.906970629630E-08, 2.456983563782E-09, /* 14 6 */
3.763036962799E-08, -3.933698459869E-09, /* 14 7 */
-3.494137393294E-08, -1.544686306971E-08, /* 14 8 */
3.195228258282E-08, 2.846426004693E-08, /* 14 9 */
3.880182386363E-08, -1.297935326294E-09, /* 14 10 */
1.564625400671E-08, -3.904229679272E-08, /* 14 11 */
8.460976772264E-09, -3.111925531137E-08, /* 14 12 */
3.224218717741E-08, 4.514881135110E-08, /* 14 13 */
-5.187076100301E-08, -4.822175650729E-09 /* 14 14 */
#endif
#if( N_TERMS >= 15)
, 2.191678708149E-09, 0.000000000000E+00, /* 15 0 */
9.430607665241E-09, 1.048343697123E-08, /* 15 1 */
-2.053202027793E-08, -3.029929942704E-08, /* 15 2 */
5.341304630709E-08, 1.766096915361E-08, /* 15 3 */
-4.017381916458E-08, 6.811721256429E-09, /* 15 4 */
1.224207146925E-08, 7.621491034307E-09, /* 15 5 */
3.285198624026E-08, -3.646985465262E-08, /* 15 6 */
5.965511978744E-08, 5.073057805615E-09, /* 15 7 */
-3.208864903358E-08, 2.217210257117E-08, /* 15 8 */
1.329848455013E-08, 3.799393471601E-08, /* 15 9 */
1.026325953351E-08, 1.469238135563E-08, /* 15 10 */
-1.305441830526E-09, 1.852183740538E-08, /* 15 11 */
-3.241821298600E-08, 1.560533743612E-08, /* 15 12 */
-2.836870432250E-08, -4.577079272453E-09, /* 15 13 */
5.200241654303E-09, -2.439700582238E-08, /* 15 14 */
-1.902751314587E-08, -4.690395287240E-09 /* 15 15 */
#endif
#if( N_TERMS >= 16)
, -4.711399566556E-09, 0.000000000000E+00, /* 16 0 */
2.618495087563E-08, 3.334313589953E-08, /* 16 1 */
-2.451051568312E-08, 2.803047576995E-08, /* 16 2 */
-3.391353117356E-08, -2.133881575508E-08, /* 16 3 */
4.085472497887E-08, 4.798864908709E-08, /* 16 4 */
-1.212203260105E-08, -3.443409814726E-09, /* 16 5 */
1.387384159872E-08, -3.559593322814E-08, /* 16 6 */
-8.062457398106E-09, -8.651969069085E-09, /* 16 7 */
-2.120437927688E-08, 5.406987372004E-09, /* 16 8 */
-2.241391484986E-08, -3.966799165656E-08, /* 16 9 */
-1.180463195465E-08, 1.153517812657E-08, /* 16 10 */
1.911171902867E-08, -3.202892179004E-09, /* 16 11 */
1.956110670862E-08, 6.727712403290E-09, /* 16 12 */
1.377544553767E-08, 1.048199370467E-09, /* 16 13 */
-1.934458914407E-08, -3.864568321338E-08, /* 16 14 */
-1.441678809455E-08, -3.277186361861E-08, /* 16 15 */
-3.830521289156E-08, 2.968301836612E-09 /* 16 16 */
#endif
#if( N_TERMS >= 17)
, 1.918719953971E-08, 0.000000000000E+00, /* 17 0 */
-2.536543145807E-08, -3.170426084762E-08, /* 17 1 */
-2.010189539645E-08, 6.815146349676E-09, /* 17 2 */
6.307024280928E-09, 5.082451097863E-09, /* 17 3 */
6.474528752660E-09, 2.533573386703E-08, /* 17 4 */
-1.621865483036E-08, 8.029977568230E-09, /* 17 5 */
-1.173140106021E-08, -2.944033869246E-08, /* 17 6 */
2.497721913907E-08, -4.386121197077E-09, /* 17 7 */
3.899764336161E-08, 3.634136415772E-09, /* 17 8 */
3.478665021210E-09, -2.764039559622E-08, /* 17 9 */
-3.796898451483E-09, 1.837992072913E-08, /* 17 10 */
-1.601763828493E-08, 1.108739650175E-08, /* 17 11 */
2.871887934705E-08, 2.045542444509E-08, /* 17 12 */
1.650463723976E-08, 2.013518952097E-08, /* 17 13 */
-1.427460002951E-08, 1.157156500739E-08, /* 17 14 */
5.543854357519E-09, 5.246436145947E-09, /* 17 15 */
-3.040604279979E-08, 3.603514233845E-09, /* 17 16 */
-3.469797352459E-08, -1.987136609513E-08 /* 17 17 */
#endif
#if( N_TERMS >= 18)
, 6.099839777447E-09, 0.000000000000E+00, /* 18 0 */
7.200890117147E-09, -3.929714091901E-08, /* 18 1 */
1.472647784594E-08, 1.083323002301E-08, /* 18 2 */
-5.042582240325E-09, -5.848316066814E-09, /* 18 3 */
5.462655087026E-08, -7.860161155397E-10, /* 18 4 */
5.976326427116E-09, 2.613893031243E-08, /* 18 5 */
1.357755364840E-08, -1.324502398425E-08, /* 18 6 */
6.793356970878E-09, 7.468516247213E-09, /* 18 7 */
3.049947645139E-08, 4.344765543445E-09, /* 18 8 */
-1.956913241337E-08, 3.613054348158E-08, /* 18 9 */
5.217068039748E-09, -4.241339716815E-09, /* 18 10 */
-6.886866721953E-09, 2.116605907084E-09, /* 18 11 */
-2.975064394003E-08, -1.655920297382E-08, /* 18 12 */
-6.252742341601E-09, -3.493981100217E-08, /* 18 13 */
-8.293011190779E-09, -1.282545521655E-08, /* 18 14 */
-4.046414045990E-08, -2.027914008746E-08, /* 18 15 */
1.016009073262E-08, 6.504574931285E-09, /* 18 16 */
3.478630482906E-09, 4.375503328823E-09, /* 18 17 */
2.993575591165E-09, -1.084584548061E-08 /* 18 18 */
#endif
#if( N_TERMS >= 19)
, -3.303611005089E-09, 0.000000000000E+00, /* 19 0 */
-8.973724128996E-09, 1.192749813314E-09, /* 19 1 */
3.573841904642E-08, -2.369569816465E-09, /* 19 2 */
-7.561456543083E-09, 1.102814055291E-09, /* 19 3 */
1.580732431302E-08, -8.141704769796E-09, /* 19 4 */
1.039028392344E-08, 2.745003294980E-08, /* 19 5 */
-4.800131208296E-09, 1.875575251336E-08, /* 19 6 */
5.641919836426E-09, -8.742734824356E-09, /* 19 7 */
2.988673869872E-08, -9.993347601634E-09, /* 19 8 */
3.287434355406E-09, 7.239278901713E-09, /* 19 9 */
-3.387904507824E-08, -7.578258578214E-09, /* 19 10 */
1.630428385441E-08, 1.035768243747E-08, /* 19 11 */
-2.441665985132E-09, 9.454576020749E-09, /* 19 12 */
-7.542804532513E-09, -2.852364813370E-08, /* 19 13 */
-4.743284023116E-09, -1.285332208711E-08, /* 19 14 */
-1.758836964655E-08, -1.407114090737E-08, /* 19 15 */
-2.174952059721E-08, -7.094966441354E-09, /* 19 16 */
2.880440044609E-08, -1.533916350067E-08, /* 19 17 */
3.501252894096E-08, -9.691506132019E-09, /* 19 18 */
-2.706463175805E-09, 5.199715479330E-09 /* 19 19 */
#endif
#if( N_TERMS >= 20)
, 2.155906358094E-08, 0.000000000000E+00, /* 20 0 */
5.567806135568E-09, 7.027894247596E-09, /* 20 1 */
2.029201703681E-08, 1.718421855552E-08, /* 20 2 */
-4.749736550698E-09, 3.890066401427E-08, /* 20 3 */
4.270381680578E-09, -2.262434522892E-08, /* 20 4 */
-1.012657231181E-08, -8.260342958671E-09, /* 20 5 */
1.216130160720E-08, -4.364779479425E-09, /* 20 6 */
-2.122679565023E-08, -7.051925039319E-10, /* 20 7 */
5.094555084680E-09, 2.153773580349E-09, /* 20 8 */
1.718739419353E-08, -7.013144414492E-09, /* 20 9 */
-3.229471482326E-08, -4.790123350912E-09, /* 20 10 */
1.445078164737E-08, -1.915322553215E-08, /* 20 11 */
-6.467900697722E-09, 1.813545667679E-08, /* 20 12 */
2.741357553594E-08, 6.763663996575E-09, /* 20 13 */
1.152838652450E-08, -1.437660240950E-08, /* 20 14 */
-2.578635379062E-08, -8.634630033803E-10, /* 20 15 */
-1.242821613571E-08, -3.458762829458E-10, /* 20 16 */
4.501894307532E-09, -1.372833289064E-08, /* 20 17 */
1.535957443561E-08, -8.919522021433E-10, /* 20 18 */
-3.027200881708E-09, 1.092102670580E-08, /* 20 19 */
3.734521298160E-09, -1.269812235124E-08 /* 20 20 */
#endif
#if( N_TERMS >= 21)
, 6.251370596805E-09, 0.000000000000E+00, /* 21 0 */
-1.615889192208E-08, 2.869255160899E-08, /* 21 1 */
-5.616669142444E-09, 4.178994773185E-09, /* 21 2 */
1.914457378933E-08, 2.272242433600E-08, /* 21 3 */
-5.110443439414E-09, 1.898497460527E-08, /* 21 4 */
2.607178873405E-09, 1.097486580948E-09, /* 21 5 */
-1.354999472709E-08, 1.299361237293E-11, /* 21 6 */
-6.610113794696E-09, 2.520845797836E-09, /* 21 7 */
-1.723219902874E-08, 2.148406365047E-09, /* 21 8 */
1.585516564710E-08, 9.079459097214E-09, /* 21 9 */
-1.140028751801E-08, -1.139776865651E-09, /* 21 10 */
6.893792521604E-09, -3.557820500236E-08, /* 21 11 */
-3.327893467118E-09, 1.477289349317E-08, /* 21 12 */
-1.936445125476E-08, 1.393881075421E-08, /* 21 13 */
2.026454910879E-08, 7.351410551322E-09, /* 21 14 */
1.757374547042E-08, 1.036888610948E-08, /* 21 15 */
7.488654452606E-09, -6.650981729082E-09, /* 21 16 */
-7.466407406915E-09, -7.375177537242E-09, /* 21 17 */
2.647474893486E-08, -1.107339977520E-08, /* 21 18 */
-2.720456475043E-08, 1.655388461706E-08, /* 21 19 */
-2.695007223244E-08, 1.592075535389E-08, /* 21 20 */
8.456909828626E-09, -3.653701496556E-09 /* 21 21 */
#endif
#if( N_TERMS >= 22)
, -1.077794223838E-08, 0.000000000000E+00, /* 22 0 */
1.568162153797E-08, -3.840702987146E-09, /* 22 1 */
-2.648953865327E-08, -1.164831718953E-09, /* 22 2 */
1.134421764263E-08, 1.012149550458E-08, /* 22 3 */
-3.613988833116E-09, 1.872794673494E-08, /* 22 4 */
9.681753149397E-11, -3.185480615707E-10, /* 22 5 */
1.016445318467E-08, -5.508041696537E-09, /* 22 6 */
1.746404202183E-08, 4.748343852545E-09, /* 22 7 */
-2.349854267919E-08, 3.814912462647E-09, /* 22 8 */
6.683000441139E-09, 8.376708391365E-09, /* 22 9 */
5.627637776937E-09, 2.235138776381E-08, /* 22 10 */
-4.814627609889E-09, -1.756560291489E-08, /* 22 11 */
2.418096242155E-09, -8.208292831918E-09, /* 22 12 */
-1.715841666540E-08, 1.951244545527E-08, /* 22 13 */
1.087230065918E-08, 8.331043904076E-09, /* 22 14 */
2.577101921970E-08, 4.712711645894E-09, /* 22 15 */
1.090346517444E-10, -7.291582460108E-09, /* 22 16 */
8.567737628416E-09, -1.459506505103E-08, /* 22 17 */
1.019896759180E-08, -1.620174097242E-08, /* 22 18 */
1.405955155925E-08, -3.362623220086E-09, /* 22 19 */
-1.677211351188E-08, 1.958200832747E-08, /* 22 20 */
-2.531929263849E-08, 2.396586262267E-08, /* 22 21 */
-1.008569352447E-08, 2.334349296497E-09 /* 22 22 */
#endif
#if( N_TERMS >= 23)
, -2.225920316255E-08, 0.000000000000E+00, /* 23 0 */
9.175175862564E-09, 1.619510078592E-08, /* 23 1 */
-1.439331652064E-08, -4.585678480642E-09, /* 23 2 */
-2.407806960989E-08, -1.749591750678E-08, /* 23 3 */
-2.386851340269E-08, 8.291853042697E-09, /* 23 4 */
-8.822695608885E-10, 1.649240375855E-10, /* 23 5 */
-1.192794464869E-08, 1.612966489173E-08, /* 23 6 */
-6.887458858845E-09, -1.914519670121E-09, /* 23 7 */
7.359742184708E-09, 1.810643029623E-10, /* 23 8 */
1.817800736148E-09, -1.284894083587E-08, /* 23 9 */
1.686166145583E-08, -2.269764791533E-09, /* 23 10 */
9.230256429363E-09, 1.429364657131E-08, /* 23 11 */
1.646514043385E-08, -1.201056568372E-08, /* 23 12 */
-1.161262520251E-08, -5.204577946762E-09, /* 23 13 */
6.956192034157E-09, -1.465840742834E-09, /* 23 14 */
1.894598167577E-08, -3.591191010097E-09, /* 23 15 */
5.904760651721E-09, 1.107897879461E-08, /* 23 16 */
-5.464119675160E-09, -1.293362638478E-08, /* 23 17 */
8.546100958298E-09, -1.481704711972E-08, /* 23 18 */
-5.476312661774E-09, 1.065458506257E-08, /* 23 19 */
7.971402434830E-09, -5.454970554903E-09, /* 23 20 */
1.571010377993E-08, 1.174310283846E-08, /* 23 21 */
-1.797650219459E-08, 4.732976976196E-09, /* 23 22 */
3.051192488872E-09, -1.204654000598E-08 /* 23 23 */
#endif
#if( N_TERMS >= 24)
, -7.400484865791E-11, 0.000000000000E+00, /* 24 0 */
-2.730195285268E-09, -1.532882688182E-09, /* 24 1 */
9.594244302803E-10, 1.515419213564E-08, /* 24 2 */
-4.808517977690E-09, -9.734706227880E-09, /* 24 3 */
5.972297499320E-09, 5.089906666564E-09, /* 24 4 */
-7.118049883123E-09, -2.142633546177E-08, /* 24 5 */
3.622150602082E-09, 1.360296866252E-09, /* 24 6 */
-6.063949569602E-09, 4.917333187657E-09, /* 24 7 */
1.540704788414E-08, -3.608299816260E-09, /* 24 8 */
-1.157503471282E-08, -1.783577975274E-08, /* 24 9 */
1.097196445143E-08, 2.125756978910E-08, /* 24 10 */
1.518513348987E-08, 1.780212848397E-08, /* 24 11 */
1.148603191767E-08, -6.179208579820E-09, /* 24 12 */
-3.021764195718E-09, 2.934464223776E-09, /* 24 13 */
-1.995529267426E-08, -2.043088875442E-09, /* 24 14 */
6.359327224479E-09, -1.595529038531E-08, /* 24 15 */
8.445753471546E-09, 2.717137578757E-09, /* 24 16 */
-1.194085609401E-08, -6.438634839927E-09, /* 24 17 */
-3.669128888644E-10, -1.030306301941E-08, /* 24 18 */
-4.445100083593E-09, -8.674492136411E-09, /* 24 19 */
-5.657260163815E-09, 8.641659399962E-09, /* 24 20 */
5.537287797386E-09, 1.411797706603E-08, /* 24 21 */
3.993513090153E-09, -3.938014320970E-09, /* 24 22 */
-6.196982614615E-09, -8.822615997969E-09, /* 24 23 */
1.265817970589E-08, -3.689117832362E-09 /* 24 24 */
#endif
#if( N_TERMS >= 25)
, 3.206709768640E-09, 0.000000000000E+00, /* 25 0 */
6.371540723832E-09, -9.157248642574E-09, /* 25 1 */
2.271750606924E-08, 9.346552221724E-09, /* 25 2 */
-9.681603896360E-09, -1.430648318740E-08, /* 25 3 */
1.016232555075E-08, 2.968362557904E-10, /* 25 4 */
-1.104110918945E-08, -4.126922307036E-10, /* 25 5 */
1.627447085954E-08, 1.631007427500E-10, /* 25 6 */
9.593094696042E-09, -6.622827982918E-09, /* 25 7 */
2.081625502341E-09, 1.824099726776E-10, /* 25 8 */
-3.037358321414E-08, 2.295403913348E-08, /* 25 9 */
8.995344863654E-09, -4.417514706154E-09, /* 25 10 */
1.888978156198E-09, 1.031999266423E-08, /* 25 11 */
-7.761513839807E-09, 1.156954145835E-08, /* 25 12 */
7.963060208321E-09, -1.165064502174E-08, /* 25 13 */
-1.992343533828E-08, 6.559608778294E-09, /* 25 14 */
-4.445831710571E-09, -7.411978861748E-09, /* 25 15 */
1.302564294674E-09, -1.290021429970E-08, /* 25 16 */
-1.551238702293E-08, -3.705182194934E-09, /* 25 17 */
1.538685065169E-09, -1.488379630485E-08, /* 25 18 */
7.764354729047E-09, 9.804256853891E-09, /* 25 19 */
-7.983599965871E-09, -9.655986622373E-10, /* 25 20 */
1.069557092717E-08, 7.761539500825E-09, /* 25 21 */
-1.413743740599E-08, 3.860985288448E-09, /* 25 22 */
8.586762175111E-09, -1.263668453684E-08, /* 25 23 */
4.242602679120E-09, -8.399118155451E-09, /* 25 24 */
1.049021184869E-08, 4.941430258052E-09 /* 25 25 */
#endif
#if( N_TERMS >= 26)
, 5.893618072670E-09, 0.000000000000E+00, /* 26 0 */
-1.431371102800E-10, -6.648786066825E-09, /* 26 1 */
-1.586408518363E-09, 1.150377923939E-08, /* 26 2 */
1.510530147308E-08, 4.045218008006E-09, /* 26 3 */
1.907733249115E-08, -2.022605276855E-08, /* 26 4 */
1.315447505293E-08, 7.822854996024E-09, /* 26 5 */
9.603422309080E-09, -1.051504439264E-08, /* 26 6 */
-1.587186068640E-09, 4.447735647684E-09, /* 26 7 */
3.471007736543E-09, 1.781207227056E-09, /* 26 8 */
-1.309495562609E-08, 7.123629070978E-10, /* 26 9 */
-1.496890494869E-08, -5.660360476141E-09, /* 26 10 */
-4.626848270274E-09, 1.673506843852E-09, /* 26 11 */
-1.701202316238E-08, 2.329946166824E-09, /* 26 12 */
-1.756152247360E-10, 1.536100602626E-09, /* 26 13 */
7.669277713826E-09, 8.066712223915E-09, /* 26 14 */
-1.335462077029E-08, 8.298720983937E-09, /* 26 15 */
1.582752056564E-09, -6.402522666199E-09, /* 26 16 */
-1.200118725050E-08, 7.921553394885E-09, /* 26 17 */
-1.293506849310E-08, 4.899403731342E-09, /* 26 18 */
-2.263856727476E-09, 3.770126150680E-09, /* 26 19 */
6.230263235403E-09, -1.197997404224E-08, /* 26 20 */
-9.162408616574E-09, 1.941026806744E-09, /* 26 21 */
1.037661941701E-08, 7.063686462494E-09, /* 26 22 */
1.019833431649E-09, 1.072391244476E-08, /* 26 23 */
9.028055663719E-09, 1.478048212490E-08, /* 26 24 */
3.788602005733E-09, -5.845919648273E-10, /* 26 25 */
6.645801376768E-10, 2.079561312706E-09 /* 26 26 */
#endif
#if( N_TERMS >= 27)
, 3.613982249929E-09, 0.000000000000E+00, /* 27 0 */
2.861711342456E-09, 1.587585184672E-09, /* 27 1 */
6.603484137243E-10, -6.167433669393E-10, /* 27 2 */
3.530509303890E-09, 1.048207549818E-08, /* 27 3 */
-1.599657828199E-09, 8.058187869920E-09, /* 27 4 */
1.460863201501E-08, 1.499050507717E-08, /* 27 5 */
4.968549270145E-09, 6.411806598682E-09, /* 27 6 */
-1.113140649500E-08, -6.905524150781E-09, /* 27 7 */
-8.038117894224E-09, -8.763918798838E-09, /* 27 8 */
3.065585874713E-09, 1.127019363707E-08, /* 27 9 */
-1.351281069144E-08, 1.266828703104E-09, /* 27 10 */
2.236231680620E-09, -9.439396888840E-09, /* 27 11 */
-1.096513974620E-08, 2.068676402624E-09, /* 27 12 */
-4.572424571644E-09, -4.673293295486E-09, /* 27 13 */
1.533639036452E-08, 1.182107461821E-08, /* 27 14 */
-2.131908825316E-09, 1.470479907499E-09, /* 27 15 */
2.569578634251E-09, 3.171777060835E-09, /* 27 16 */
4.423596743417E-09, 5.035986142703E-10, /* 27 17 */
-2.071376040104E-09, 7.877693595215E-09, /* 27 18 */
-2.726455872931E-10, -2.402774046329E-09, /* 27 19 */
-1.269879326268E-09, 3.657840572071E-09, /* 27 20 */
4.925204350791E-09, -6.651839647743E-09, /* 27 21 */
-5.817957306566E-09, 2.890291604734E-09, /* 27 22 */
-5.320355826264E-09, -1.159995150737E-08, /* 27 23 */
3.822303524789E-10, -2.240759290126E-09, /* 27 24 */
1.209063082756E-08, 6.014385198071E-09, /* 27 25 */
-6.832640574450E-09, -2.385939030023E-09, /* 27 26 */
8.053261859972E-09, 1.071579308002E-09 /* 27 27 */
#endif
#if( N_TERMS >= 28)
, -9.773824093722E-09, 0.000000000000E+00, /* 28 0 */
-5.277513444536E-09, 8.718952159890E-09, /* 28 1 */
-1.500901718089E-08, -8.255072575083E-09, /* 28 2 */
2.903359855271E-09, 1.018333071548E-08, /* 28 3 */
-1.412863558748E-09, 1.128509748409E-08, /* 28 4 */
1.197362482966E-08, -4.722106443514E-09, /* 28 5 */
-4.611842089581E-09, 1.292714877481E-08, /* 28 6 */
-2.587438899408E-09, 5.652127059006E-09, /* 28 7 */
-3.068471705935E-09, -1.756539082009E-09, /* 28 8 */
9.282028500257E-09, -1.269557481229E-08, /* 28 9 */
-1.062771368842E-08, 7.968635937290E-09, /* 28 10 */
-3.543948253165E-09, -1.840220811196E-09, /* 28 11 */
-8.668382043881E-10, 1.033790004629E-08, /* 28 12 */
2.126069910633E-09, 5.900480495348E-09, /* 28 13 */
-8.120356097421E-09, -1.286103814266E-08, /* 28 14 */
-1.224689015201E-08, -2.184978708631E-09, /* 28 15 */
-4.641145063367E-09, -1.328270775677E-08, /* 28 16 */
1.379795610058E-08, -4.978627525553E-09, /* 28 17 */
5.707462604172E-09, -3.333813521457E-09, /* 28 18 */
6.272964931926E-09, 2.410767374969E-08, /* 28 19 */
-1.522419312917E-09, 6.497575951724E-09, /* 28 20 */
6.776374100372E-09, 6.616486475831E-09, /* 28 21 */
-2.230820050289E-09, -7.311052175474E-09, /* 28 22 */
6.887594085801E-09, 2.669020538908E-09, /* 28 23 */
1.105854138833E-08, -1.388601102944E-08, /* 28 24 */
7.368565096995E-09, -1.745343645905E-08, /* 28 25 */
1.207209270360E-08, 3.826057453401E-09, /* 28 26 */
-8.035271236038E-09, 1.206682428294E-09, /* 28 27 */
6.813698196651E-09, 6.680546823427E-09 /* 28 28 */
#endif
#if( N_TERMS >= 29)
, -5.278514809296E-09, 0.000000000000E+00, /* 29 0 */
4.028547559101E-09, -1.352980193199E-08, /* 29 1 */
-2.380068654799E-09, -2.442384426781E-09, /* 29 2 */
3.813546515856E-09, -1.157743224294E-08, /* 29 3 */
-2.538970630748E-08, 2.399501062659E-09, /* 29 4 */
-7.983228821083E-09, 5.956332562525E-09, /* 29 5 */
1.165064015423E-08, 1.038069662895E-08, /* 29 6 */
-3.589532603088E-09, -3.150093346915E-09, /* 29 7 */
-1.957953879998E-08, 9.578180566620E-09, /* 29 8 */
7.634268361244E-11, 2.693361299898E-09, /* 29 9 */
1.375972401385E-08, 5.324496381873E-11, /* 29 10 */
-6.229015473697E-09, 6.867264622705E-09, /* 29 11 */
-7.806039543052E-10, -4.857642401910E-09, /* 29 12 */
-1.448883320161E-09, -2.636630707426E-09, /* 29 13 */
-3.079438059161E-09, -4.723255424988E-09, /* 29 14 */
-9.484103281945E-09, -7.050591872949E-09, /* 29 15 */
1.518251086839E-10, -1.468144564844E-08, /* 29 16 */
-2.283677644219E-09, -4.713163158849E-09, /* 29 17 */
-3.551115556510E-09, -2.822297341350E-09, /* 29 18 */
-6.210937652561E-09, 6.814687496000E-09, /* 29 19 */
-8.120336101823E-09, 5.782667552292E-09, /* 29 20 */
-9.959021507144E-09, -5.139046865195E-09, /* 29 21 */
1.171396927717E-08, -1.239080849321E-09, /* 29 22 */
-1.911180984945E-09, 2.217794377852E-09, /* 29 23 */
3.097399678246E-10, -2.238624483960E-09, /* 29 24 */
5.788716619555E-09, 8.747735709532E-09, /* 29 25 */
7.859838086124E-09, -6.812889634950E-09, /* 29 26 */
-7.726061463970E-09, -7.185981798534E-10, /* 29 27 */
9.532678550612E-09, -5.741890704239E-09, /* 29 28 */
1.280128856698E-08, -5.218022488484E-09 /* 29 29 */
#endif
#if( N_TERMS >= 30)
, 6.256315749606E-09, 0.000000000000E+00, /* 30 0 */
2.729113960887E-10, 1.087073149988E-09, /* 30 1 */
-9.962042645335E-09, -1.172707037984E-09, /* 30 2 */
3.919062051013E-09, -1.373605434462E-08, /* 30 3 */
-1.665054498161E-09, -3.757687650882E-09, /* 30 4 */
-2.632268720726E-09, -5.674105647645E-09, /* 30 5 */
-1.598062828359E-10, 8.367434740453E-10, /* 30 6 */
2.392421164439E-09, 3.812827558631E-09, /* 30 7 */
4.655571609209E-09, 3.271126227544E-09, /* 30 8 */
-8.021580423668E-09, -1.170872147219E-08, /* 30 9 */
4.888430224355E-09, -4.955137932401E-09, /* 30 10 */
-9.549626151595E-09, 1.038678285896E-08, /* 30 11 */
1.709894231535E-08, -1.073808387187E-08, /* 30 12 */
1.379347851846E-08, 2.979238921459E-09, /* 30 13 */
4.836762997754E-09, 8.122402297461E-09, /* 30 14 */
6.592176740173E-10, -1.062580125185E-09, /* 30 15 */
-1.056722947979E-08, 4.140625278172E-09, /* 30 16 */
-6.882831497381E-09, -5.872892866821E-09, /* 30 17 */
-1.116132406483E-08, -7.965729460095E-09, /* 30 18 */
-1.363293081545E-08, 2.750130956147E-09, /* 30 19 */
-5.224345617430E-09, 1.333828157857E-08, /* 30 20 */
-1.166349667999E-08, -5.543090046975E-09, /* 30 21 */
-5.244853270775E-09, -8.708369275807E-09, /* 30 22 */
5.393496180115E-09, -1.097438602428E-08, /* 30 23 */
-2.738933147953E-09, -2.580115805263E-09, /* 30 24 */
3.078415893046E-09, -1.572052180194E-08, /* 30 25 */
1.355656039439E-09, 1.254861534110E-08, /* 30 26 */
-7.731538063628E-09, 1.255513461818E-08, /* 30 27 */
-5.826914080225E-09, -8.088408367804E-09, /* 30 28 */
3.942134726006E-09, 1.874354081113E-09, /* 30 29 */
2.587820428693E-09, 8.475154340484E-09 /* 30 30 */
#endif
#if( N_TERMS >= 31)
, 6.759314409067E-09, 0.000000000000E+00, /* 31 0 */
7.121189093734E-09, -1.847686878031E-08, /* 31 1 */
6.261884753730E-09, 5.116720272739E-09, /* 31 2 */
-6.595545649338E-09, -7.543200171057E-09, /* 31 3 */
1.139088231971E-08, -5.176418159076E-09, /* 31 4 */
-1.148131950230E-08, 5.456655046124E-09, /* 31 5 */
-8.471097516909E-11, -2.962874071552E-10, /* 31 6 */
-1.507203005359E-09, -1.342179140901E-09, /* 31 7 */
-3.134217611332E-09, 2.139072610337E-09, /* 31 8 */
9.049597121701E-10, 5.849364060007E-09, /* 31 9 */
4.370431937603E-09, -4.893673225855E-09, /* 31 10 */
1.986102653272E-09, 2.170494271513E-08, /* 31 11 */
5.730370959689E-10, 3.994664139533E-09, /* 31 12 */
9.756328604618E-09, 4.667189717097E-09, /* 31 13 */
-8.056701724066E-09, 3.233510728421E-09, /* 31 14 */
4.158546855886E-09, -2.363866136722E-09, /* 31 15 */
-6.881522880525E-09, 6.144414646252E-09, /* 31 16 */
-2.945316871347E-09, 6.851610890766E-09, /* 31 17 */
-5.297915658035E-10, -2.426988357832E-09, /* 31 18 */
2.141301647049E-09, 4.767334174575E-09, /* 31 19 */
-2.447045640665E-09, 5.730346321564E-09, /* 31 20 */
-9.954789268223E-09, 7.431428663834E-09, /* 31 21 */
-9.886300963609E-09, -1.122927783604E-08, /* 31 22 */
8.063415098825E-09, 4.305151681453E-09, /* 31 23 */
-2.895490564787E-09, -3.714335211396E-09, /* 31 24 */
-1.664039846245E-08, -1.759012695608E-09, /* 31 25 */
-1.285373760803E-08, 1.783796009790E-09, /* 31 26 */
-1.128725915915E-09, 1.102517255170E-08, /* 31 27 */
1.021373005512E-08, 2.840954687741E-09, /* 31 28 */
-2.017052039668E-09, -2.316821242562E-09, /* 31 29 */
-8.237588644052E-10, -8.138559161059E-09, /* 31 30 */
-8.818389523673E-09, -1.578445203501E-09 /* 31 31 */
#endif
#if( N_TERMS >= 32)
, -2.400303950319E-09, 0.000000000000E+00, /* 32 0 */
-7.623115663754E-11, 3.579083377776E-09, /* 32 1 */
1.150336576052E-08, -2.872934786469E-09, /* 32 2 */
-4.178140066589E-10, 3.740566777046E-09, /* 32 3 */
1.974470942099E-09, -7.304449146407E-09, /* 32 4 */
9.633997883010E-09, 1.279717008753E-09, /* 32 5 */
-1.118748216901E-08, -8.393768566102E-09, /* 32 6 */
1.046064576029E-09, 4.452631351672E-09, /* 32 7 */
1.343961474020E-08, 7.283830145706E-09, /* 32 8 */
5.476695495158E-09, -1.484644002730E-09, /* 32 9 */
-1.417404046453E-09, -4.988557065431E-09, /* 32 10 */
-3.527507538217E-09, 7.912129534825E-09, /* 32 11 */
-1.708019437275E-08, 1.373929052842E-08, /* 32 12 */
4.138232031105E-09, 4.777461837649E-09, /* 32 13 */
-5.531024946720E-09, 1.960680161269E-09, /* 32 14 */
4.840996096090E-09, -8.417401780722E-09, /* 32 15 */
3.736820717566E-09, 3.871208553113E-09, /* 32 16 */
-6.505271452141E-09, 1.008935868077E-08, /* 32 17 */
1.302517186851E-08, -1.764905284611E-09, /* 32 18 */
7.000758955235E-10, -2.872939757780E-09, /* 32 19 */
2.963909723860E-09, -1.349278095083E-10, /* 32 20 */
-2.384758131957E-09, 1.169843262763E-08, /* 32 21 */
-1.227899264467E-08, -2.363339786134E-09, /* 32 22 */
7.668569484572E-09, -2.505154783153E-09, /* 32 23 */
-3.749777625138E-09, 1.425812354360E-10, /* 32 24 */
-1.933768533095E-08, -5.803579231931E-09, /* 32 25 */
5.363782743379E-09, -3.832371236576E-09, /* 32 26 */
-5.057343846140E-09, -6.697072987656E-09, /* 32 27 */
1.576362488773E-09, -5.697391978846E-09, /* 32 28 */
3.748034254598E-09, 2.992928835358E-09, /* 32 29 */
-6.927915918641E-09, 1.340815404284E-09, /* 32 30 */
-6.090504144136E-09, -2.942031372928E-10, /* 32 31 */
3.474176823032E-09, 1.269092885223E-09 /* 32 32 */
#endif
#if( N_TERMS >= 33)
, -3.634596816254E-09, 0.000000000000E+00, /* 33 0 */
-1.751116934128E-09, -3.890533141544E-09, /* 33 1 */
-6.056340146743E-09, 2.323139739458E-09, /* 33 2 */
-3.914211700455E-10, 6.157959607407E-09, /* 33 3 */
-6.406284122937E-09, 5.088678734067E-09, /* 33 4 */
-3.248329418556E-10, 4.277448782430E-09, /* 33 5 */
5.147075937995E-10, -2.601723344517E-09, /* 33 6 */
-3.735379793511E-09, 7.375541629893E-10, /* 33 7 */
-4.002298975348E-09, 1.508139902661E-08, /* 33 8 */
5.240465624323E-09, 1.098696545195E-08, /* 33 9 */
-1.606057623918E-09, 1.143795757666E-09, /* 33 10 */
2.050748871859E-09, -6.680966150088E-09, /* 33 11 */
-1.001489958430E-09, 9.692703604595E-09, /* 33 12 */
2.058954327214E-09, 2.975497821069E-09, /* 33 13 */
4.881102300680E-09, 5.649189664442E-09, /* 33 14 */
-4.614169453928E-09, -3.472743477133E-09, /* 33 15 */
6.756973243607E-09, 5.607008062028E-09, /* 33 16 */
-5.186691823215E-09, 1.234581277538E-08, /* 33 17 */
-1.024327114800E-08, -2.945474316637E-09, /* 33 18 */
8.010413148011E-09, 2.278959121786E-09, /* 33 19 */
-3.544444604969E-09, -8.455952161526E-09, /* 33 20 */
8.111548635769E-10, 2.383634957261E-10, /* 33 21 */
-9.402227668491E-09, -1.534494303909E-08, /* 33 22 */
-3.449797024899E-10, -1.052201936741E-08, /* 33 23 */
1.110292991593E-08, -9.148893711610E-09, /* 33 24 */
5.083035527037E-09, -1.062208421463E-08, /* 33 25 */
1.030814161250E-08, 4.573777686866E-09, /* 33 26 */
-9.815334540163E-10, 1.063873062080E-09, /* 33 27 */
1.529736790765E-09, -7.889284742896E-10, /* 33 28 */
-1.643076591905E-08, 5.524647737175E-09, /* 33 29 */
-1.615137693127E-09, -1.842963693913E-08, /* 33 30 */
4.251910366817E-09, 8.498262050718E-10, /* 33 31 */
6.255988366533E-09, -4.700527124366E-09, /* 33 32 */
-1.695189698346E-09, 8.357922638772E-09 /* 33 33 */
#endif
#if( N_TERMS >= 34)
, -8.935608920157E-09, 0.000000000000E+00, /* 34 0 */
-4.202708111558E-10, 6.530999051799E-09, /* 34 1 */
6.942744452950E-09, 7.542160531149E-09, /* 34 2 */
1.339670012648E-08, 8.555103107213E-09, /* 34 3 */
-8.084604779590E-09, 3.311277910826E-10, /* 34 4 */
-4.343891479482E-09, 2.637457025489E-09, /* 34 5 */
-7.338152468664E-10, 6.673874474695E-09, /* 34 6 */
2.125804796081E-09, -6.911742572115E-09, /* 34 7 */
-7.515492620948E-09, 6.165039575088E-09, /* 34 8 */
2.159060136352E-11, -2.176434413377E-10, /* 34 9 */
-9.528578115501E-09, 1.812957205835E-09, /* 34 10 */
-1.562717009301E-09, -8.398670810558E-10, /* 34 11 */
1.486367758883E-08, -4.160076972577E-09, /* 34 12 */
-3.384979378566E-09, 1.609515227235E-09, /* 34 13 */
-2.608686186659E-09, 9.736270318831E-09, /* 34 14 */
4.741109007211E-10, 6.006979898769E-09, /* 34 15 */
-1.996032794700E-09, -2.154187456174E-09, /* 34 16 */
-4.004830217152E-09, 2.718596125973E-09, /* 34 17 */
-1.369924385440E-08, -5.462351468698E-09, /* 34 18 */
-3.393071964949E-09, 6.543197411098E-09, /* 34 19 */
3.816874724656E-09, -9.820185526045E-09, /* 34 20 */
-1.951241851499E-09, -6.846061576285E-09, /* 34 21 */
-3.174101821852E-09, 3.669048526144E-09, /* 34 22 */
-9.986761743733E-10, -1.230956584992E-08, /* 34 23 */
8.037517978203E-09, 3.614706582211E-09, /* 34 24 */
8.475817364488E-09, -1.017024085979E-08, /* 34 25 */
3.611464685542E-09, -1.310466830406E-08, /* 34 26 */
1.270388583589E-08, -3.968334650183E-09, /* 34 27 */
-6.591326255477E-10, -1.995870317744E-08, /* 34 28 */
6.665457531671E-09, -4.255619256257E-09, /* 34 29 */
-2.074851211873E-08, -9.183194364555E-10, /* 34 30 */
-4.772514144116E-09, -1.973708917739E-09, /* 34 31 */
8.933795342198E-09, 1.812854647211E-09, /* 34 32 */
1.402653436811E-08, 4.296088391393E-09, /* 34 33 */
-8.765305491009E-09, 1.621950435846E-09 /* 34 34 */
#endif
#if( N_TERMS >= 35)
, 7.768200599803E-09, 0.000000000000E+00, /* 35 0 */
-1.254477935764E-08, -1.008161520468E-08, /* 35 1 */
-1.507320312194E-08, 7.116792934783E-09, /* 35 2 */
1.550295352236E-09, 2.288869695420E-09, /* 35 3 */
-2.551088273135E-09, 1.071690295048E-08, /* 35 4 */
-7.969021785680E-09, -1.112032303069E-08, /* 35 5 */
6.209809771039E-09, 9.378976511274E-09, /* 35 6 */
-3.205102377080E-09, 2.340160505501E-09, /* 35 7 */
1.502179132044E-09, 9.656712530062E-09, /* 35 8 */
-1.404704196197E-09, -2.227050130650E-10, /* 35 9 */
-2.287001854174E-09, 1.080018579927E-08, /* 35 10 */
2.193475957513E-09, -3.382937998585E-09, /* 35 11 */
8.941229161470E-09, -7.201379634390E-09, /* 35 12 */
-1.953063028543E-09, 4.068043606043E-09, /* 35 13 */
-6.439801274245E-09, -6.586330061798E-09, /* 35 14 */
-1.420684238052E-08, 8.685303471402E-09, /* 35 15 */
-5.955028281480E-09, -7.404553239665E-09, /* 35 16 */
1.124640719298E-09, -9.677785636606E-09, /* 35 17 */
-5.221313043323E-09, -1.097963309348E-08, /* 35 18 */
-1.280573133239E-09, -3.489792317875E-09, /* 35 19 */
1.132864972510E-09, -4.600890138182E-10, /* 35 20 */
1.265506912034E-08, -4.867169164180E-10, /* 35 21 */
6.512375165990E-09, 5.944665402628E-09, /* 35 22 */
-8.496181848687E-09, -2.430175176229E-09, /* 35 23 */
2.789355789789E-09, 5.312281672385E-09, /* 35 24 */
7.279373427377E-09, 1.742754761032E-09, /* 35 25 */
-4.422250117501E-09, 4.433314989437E-09, /* 35 26 */
1.107382883856E-08, -1.340740485575E-08, /* 35 27 */
7.439944346310E-09, -1.515002520854E-08, /* 35 28 */
7.489352698029E-09, 3.168257887725E-09, /* 35 29 */
-4.427430638240E-09, 2.883351310071E-09, /* 35 30 */
7.855489411822E-09, 3.604838978607E-09, /* 35 31 */
-3.461797922441E-09, -8.302654166944E-09, /* 35 32 */
5.642564224568E-09, -3.193553641910E-09, /* 35 33 */
-7.821642763204E-10, 2.796666863250E-09, /* 35 34 */
-5.958905043043E-09, -5.050973102503E-09 /* 35 35 */
#endif
#if( N_TERMS >= 36)
, -3.654665269201E-09, 0.000000000000E+00, /* 36 0 */
4.795381877164E-11, 6.412144550322E-09, /* 36 1 */
-3.748999061066E-09, -2.875634405704E-09, /* 36 2 */
-2.121880289498E-09, -1.803677749200E-08, /* 36 3 */
4.931420323198E-09, 5.141446482507E-10, /* 36 4 */
-8.617431225132E-09, -2.478254539483E-10, /* 36 5 */
1.073284091301E-08, -3.083737115117E-09, /* 36 6 */
4.195208726160E-09, 6.768787274081E-09, /* 36 7 */
6.232662774407E-09, -4.553683774838E-09, /* 36 8 */
1.612907842322E-09, -1.031985928923E-09, /* 36 9 */
2.134196782753E-09, 6.401433719611E-09, /* 36 10 */
-3.853756956144E-09, 4.019116015447E-09, /* 36 11 */
2.173849949519E-10, -1.057330377083E-08, /* 36 12 */
-7.795454795543E-09, 6.974926503624E-09, /* 36 13 */
-1.170907087983E-08, -5.281753060895E-09, /* 36 14 */
1.898477071076E-09, 4.022972402286E-09, /* 36 15 */
2.039895246326E-09, 4.381821174977E-10, /* 36 16 */
5.431861026402E-09, -8.780498175673E-09, /* 36 17 */
2.036768943147E-09, 4.715869900414E-09, /* 36 18 */
-5.888553354114E-09, -6.372732839609E-09, /* 36 19 */
-6.110752629059E-09, 2.392013577549E-09, /* 36 20 */
1.108130281254E-08, -6.204740814910E-09, /* 36 21 */
3.171684503895E-09, 1.162429499875E-09, /* 36 22 */
8.818874650688E-11, 2.742062174183E-09, /* 36 23 */
1.452722624260E-09, -4.655627424610E-09, /* 36 24 */
4.848134640443E-09, 1.618058860130E-08, /* 36 25 */
4.059161189533E-09, 9.867831010537E-09, /* 36 26 */
-7.623765117874E-09, 9.028807479762E-09, /* 36 27 */
2.088305012812E-09, -4.134342830042E-09, /* 36 28 */
1.471095559663E-09, -1.397595328513E-10, /* 36 29 */
-1.023766699356E-08, 6.570100929431E-09, /* 36 30 */
-8.713335002220E-09, -5.330826033967E-09, /* 36 31 */
1.303071403334E-08, 2.151956762511E-09, /* 36 32 */
3.370060097109E-09, -3.872337787155E-09, /* 36 33 */
-8.962607760361E-09, 4.139485624026E-09, /* 36 34 */
1.807734946847E-10, -1.261035017111E-08, /* 36 35 */
4.971363703107E-09, -5.796800399662E-09 /* 36 36 */
#endif
#if( N_TERMS >= 37)
, -5.709484973952E-09, 0.000000000000E+00, /* 37 0 */
-6.958444612523E-09, -1.290567875894E-09, /* 37 1 */
-2.166643716059E-09, -1.162873740392E-08, /* 37 2 */
-5.814159537003E-09, -7.921357546352E-11, /* 37 3 */
5.185937939174E-09, 2.183161548285E-09, /* 37 4 */
-9.300974119047E-09, 1.818314436438E-10, /* 37 5 */
-1.429620666648E-09, 8.671990040128E-09, /* 37 6 */
7.104081751537E-09, 8.566901326116E-09, /* 37 7 */
-3.328803163312E-09, -3.687244675725E-09, /* 37 8 */
3.911365387497E-09, -1.760742829583E-10, /* 37 9 */
4.696516028759E-09, 2.109534306891E-09, /* 37 10 */
-1.541642826769E-09, 4.105180162100E-09, /* 37 11 */
-1.595526568828E-09, -5.026990184099E-09, /* 37 12 */
-1.096779730885E-09, -7.069593096958E-09, /* 37 13 */
-4.101014996904E-09, -1.888912586430E-10, /* 37 14 */
9.467752934160E-09, -8.591090601309E-10, /* 37 15 */
3.180960305417E-09, 1.408276176776E-08, /* 37 16 */
5.787366410031E-09, -3.343408044699E-09, /* 37 17 */
2.191976959108E-09, 3.318078301340E-09, /* 37 18 */
-6.523526397976E-09, 1.636138842758E-10, /* 37 19 */
-7.129507030547E-09, -1.448358742676E-09, /* 37 20 */
1.217690906412E-09, -1.297089717166E-09, /* 37 21 */
6.654129567595E-09, 5.475211755174E-10, /* 37 22 */
-1.208467408875E-09, 3.863325990783E-09, /* 37 23 */
-8.767098196563E-09, -9.415719260255E-09, /* 37 24 */
6.676058905436E-09, -2.732186979607E-09, /* 37 25 */
5.151307099937E-09, 1.095188193489E-08, /* 37 26 */
-5.707213576359E-09, 4.872048841067E-09, /* 37 27 */
1.240584190469E-08, 4.046028294559E-09, /* 37 28 */
4.616219626251E-09, 6.167200285369E-09, /* 37 29 */
-8.561680710916E-09, 1.217647530956E-08, /* 37 30 */
3.349485955504E-09, -9.222566900876E-09, /* 37 31 */
-1.031816385742E-10, 4.281628680004E-09, /* 37 32 */
2.528510632368E-09, -1.623459673616E-08, /* 37 33 */
2.324722961804E-09, 5.039888709762E-10, /* 37 34 */
-1.022203033881E-08, -8.800265956797E-09, /* 37 35 */
-4.042235151955E-09, -4.395018690302E-09, /* 37 36 */
5.577006247258E-09, -4.086186660480E-09 /* 37 37 */
#endif
#if( N_TERMS >= 38)
, -2.429064660302E-09, 0.000000000000E+00, /* 38 0 */
5.091399585529E-09, 3.143622050508E-09, /* 38 1 */
7.503114470670E-09, -1.189568310103E-09, /* 38 2 */
-1.329533191457E-09, -4.711877759426E-10, /* 38 3 */
6.246661470554E-09, -4.590970273069E-09, /* 38 4 */
-9.735421172856E-09, 9.265424812579E-09, /* 38 5 */
-1.262421508969E-08, 2.883445977815E-09, /* 38 6 */
2.070223630823E-09, -1.083046484512E-09, /* 38 7 */
3.904320369160E-09, 6.162550226236E-09, /* 38 8 */
3.728841271388E-09, -3.054730170404E-09, /* 38 9 */
-2.786692595690E-09, -5.567581452486E-09, /* 38 10 */
1.754442845178E-09, 7.419199998419E-09, /* 38 11 */
-3.805572186966E-09, -7.522083408036E-09, /* 38 12 */
2.470133478495E-09, -1.145834172078E-08, /* 38 13 */
-7.777448780738E-09, 3.963968537033E-09, /* 38 14 */
2.671660533794E-09, -2.628294766884E-09, /* 38 15 */
-6.050621373870E-09, 1.001616860993E-08, /* 38 16 */
2.783041998892E-09, 4.325403303974E-09, /* 38 17 */
9.082815796191E-09, -1.621270950469E-09, /* 38 18 */
1.163652568672E-09, -4.485486865355E-12, /* 38 19 */
4.629313804627E-09, -2.753333426184E-09, /* 38 20 */
-1.032606375632E-09, 3.460225485053E-09, /* 38 21 */
1.180462331045E-09, 7.611223124978E-09, /* 38 22 */
-1.534110720668E-09, 5.866948651713E-09, /* 38 23 */
-1.344205675177E-08, 1.645718618716E-09, /* 38 24 */
-3.690532125622E-09, -3.103083349846E-09, /* 38 25 */
-2.069954938965E-09, 5.401122231226E-09, /* 38 26 */
-2.333285977808E-09, 9.005267905959E-09, /* 38 27 */
-5.422323308079E-09, -4.764898383325E-09, /* 38 28 */
6.150159997365E-09, 2.757120178314E-09, /* 38 29 */
-9.495358615254E-11, 2.016039923190E-09, /* 38 30 */
4.023114290114E-09, -8.771955951567E-09, /* 38 31 */
7.936106626708E-09, 1.453223126137E-09, /* 38 32 */
3.131009563728E-09, 1.417465541126E-08, /* 38 33 */
-9.435818170787E-09, 3.531028199439E-09, /* 38 34 */
5.069563561995E-09, 2.301046830461E-09, /* 38 35 */
8.862043666536E-10, -1.235362944104E-09, /* 38 36 */
-3.827576408028E-09, 2.284170529174E-09, /* 38 37 */
2.811802300048E-09, -2.827300737169E-09 /* 38 38 */
#endif
#if( N_TERMS >= 39)
, 1.294853417758E-09, 0.000000000000E+00, /* 39 0 */
-4.430564775883E-09, 8.311247200756E-09, /* 39 1 */
3.065201059592E-09, 7.074771492572E-09, /* 39 2 */
-4.898907253612E-09, 6.062773428824E-09, /* 39 3 */
-4.340764231997E-09, -4.702101252112E-09, /* 39 4 */
4.635395991175E-09, 2.425192294173E-09, /* 39 5 */
-2.693556801749E-09, 2.455575509762E-09, /* 39 6 */
2.369376595127E-09, -1.100136340790E-09, /* 39 7 */
2.766524611188E-10, 1.260593424422E-08, /* 39 8 */
7.282245963017E-09, 5.271523716330E-09, /* 39 9 */
2.649556876232E-09, 6.736722524963E-10, /* 39 10 */
1.253749814647E-08, -2.256918909386E-09, /* 39 11 */
-3.403783513630E-09, 7.894670790377E-09, /* 39 12 */
-5.017553901732E-10, -6.417128402449E-09, /* 39 13 */
-2.906911558754E-09, 2.413194762081E-09, /* 39 14 */
-5.682688570105E-09, -7.933771833700E-10, /* 39 15 */
9.147020903701E-10, -2.598109081452E-09, /* 39 16 */
-1.420098296696E-09, -1.665050448052E-09, /* 39 17 */
1.821581930082E-09, 5.101276638377E-10, /* 39 18 */
5.051315923029E-09, 6.454791809617E-09, /* 39 19 */
2.526029971686E-10, -9.010994246708E-09, /* 39 20 */
-4.518575043486E-09, 1.104280622545E-09, /* 39 21 */
-6.365340452382E-09, -1.001459407740E-09, /* 39 22 */
-2.817156982224E-09, 5.768146235675E-09, /* 39 23 */
-9.775002717142E-09, 7.998167034392E-09, /* 39 24 */
-5.666665486678E-09, -5.534201252022E-09, /* 39 25 */
-3.708852164810E-09, 7.811243230080E-09, /* 39 26 */
-7.929041889146E-09, -2.557428249512E-09, /* 39 27 */
-3.433499515599E-09, -1.054155904838E-08, /* 39 28 */
-5.846543278256E-10, -3.101020509363E-09, /* 39 29 */
4.319187004881E-09, -1.054741311802E-08, /* 39 30 */
1.312647681604E-09, -1.121900883639E-08, /* 39 31 */
3.231257675321E-09, 4.372676971228E-09, /* 39 32 */
-5.830604055861E-09, 3.184107088036E-09, /* 39 33 */
-1.456712873507E-09, 3.301012998886E-09, /* 39 34 */
-1.388868189961E-08, 2.515712056633E-09, /* 39 35 */
4.521168671236E-09, -3.498783803397E-09, /* 39 36 */
8.708501536245E-10, -5.071214203484E-09, /* 39 37 */
-9.472800915536E-10, 7.548670182366E-09, /* 39 38 */
-1.213319142850E-10, 1.965784622490E-09 /* 39 39 */
#endif
#if( N_TERMS >= 40)
, -6.219884759578E-09, 0.000000000000E+00, /* 40 0 */
3.807343607546E-09, -1.150225443260E-09, /* 40 1 */
-1.121968116947E-09, 4.462888665149E-10, /* 40 2 */
-1.175290227539E-09, -2.478685581233E-09, /* 40 3 */
6.660960411047E-09, -7.628175557063E-09, /* 40 4 */
1.231122674302E-08, 1.136156024855E-09, /* 40 5 */
-1.473742246815E-09, 3.090187344100E-09, /* 40 6 */
-2.150136499374E-10, 1.580529068603E-09, /* 40 7 */
6.112416032525E-09, 4.645270049013E-09, /* 40 8 */
-3.089226461411E-09, 9.332931348883E-10, /* 40 9 */
-5.196559425129E-09, 3.380771596121E-09, /* 40 10 */
4.470469231929E-09, -3.561813622844E-09, /* 40 11 */
7.095352185502E-09, 1.357648788728E-09, /* 40 12 */
-3.077209725324E-09, -5.813458070763E-09, /* 40 13 */
-1.242673153474E-09, 1.124449882102E-09, /* 40 14 */
-5.065030666627E-09, -1.776401637916E-09, /* 40 15 */
-1.450342689165E-09, -3.851358309839E-09, /* 40 16 */
5.467102645062E-10, 1.373267360318E-10, /* 40 17 */
-9.799472438969E-10, 9.692564464853E-10, /* 40 18 */
-2.020494977835E-09, -3.386840760685E-10, /* 40 19 */
-7.796036121601E-09, 7.629020842808E-09, /* 40 20 */
-3.484368859850E-09, -5.476549181020E-10, /* 40 21 */
-1.357986056697E-08, -1.575902355052E-08, /* 40 22 */
-2.177604721404E-11, -1.292674528757E-08, /* 40 23 */
4.242150450697E-09, 3.114275347739E-09, /* 40 24 */
7.489787120819E-10, -3.515780922744E-09, /* 40 25 */
7.204213369194E-09, -4.625184031228E-09, /* 40 26 */
-1.364503397966E-09, 2.217555074153E-09, /* 40 27 */
2.256499981819E-09, 6.903615404602E-09, /* 40 28 */
2.165476004083E-09, 2.637281567606E-09, /* 40 29 */
-8.997998209090E-11, 9.445161619828E-10, /* 40 30 */
-6.204378312611E-09, -1.096540278250E-09, /* 40 31 */
-1.910606484507E-09, -5.801501453178E-09, /* 40 32 */
-1.438296528054E-09, -1.317316039053E-09, /* 40 33 */
8.436675469255E-10, 1.521049161139E-09, /* 40 34 */