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XEphem/libastro/moon.c

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98 KiB
C
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/* geocentric moon polar coordinates re mean equinox and ecliptic of date
S. L. Moshier
December, 1996
**********************************************************************
Adapted by Michael Sternberg <sternberg@physik.tu-chemnitz.de>
for xephem with minor modifications from the originals at:
ftp://ftp.std.com/pub/astronomy/selenog.zip
Precision < 0.05" from -1369 to +2950.
Uses table lookup techniques to limit calls to trigonometric functions.
NB: Uses International Earth Rotation System (IERS) which is
taken as equivalent to FK5 for the purposes of xephem.
original files used:
chewtab.c mean.c mlr404.c
mlat404.c selenog.c
changes:
added prototypes, grouped and cleaned up vars and #defines,
removed _MSC_VER #ifdefs, uniqed names in moonlr and moonlat,
included plantbl.h in .c file, dropped out librations for now.
in struct plantbl, promoted "char *arg_tbl" to "short *".
reason: - more portable (BTW: this is the only place in xephem
where "signed char" would have been needed)
- using "short" costs a mere 7k memory but avoids core
dumps on a machine which we didn't anticipate.
**********************************************************************
Residuals against JPL ephemeris DE404 (arc seconds)
First date in file = 1221000.5
Number of samples = 1053099
Sampling interval = 1.515625 days
Peak excursions from these mostly different test points
were consolidated with the above. They added .01" to a few
of the peak readings.
First date in file = 1221000.50
Number of samples = 524290.0
Sampling interval = 3.0 days
Julian Years Longitude Latitude Distance
1 = 1.9 km
Peak RMS Ave Peak RMS Ave Peak RMS Ave
-1369.0 to -1000.0: 0.43 0.07 0.00 0.33 0.05 -0.00 0.18 0.03 0.00
-1000.0 to -500.0: 0.49 0.06 -0.00 0.33 0.04 -0.00 0.18 0.03 0.00
-500.0 to 0.0: 0.48 0.06 0.00 0.32 0.04 0.00 0.15 0.03 0.00
0.0 to 500.0: 0.45 0.05 0.00 0.30 0.04 -0.00 0.17 0.03 -0.00
500.0 to 1000.0: 0.48 0.05 -0.00 0.29 0.04 0.00 0.17 0.03 -0.00
1000.0 to 1500.0: 0.42 0.05 -0.00 0.28 0.04 -0.00 0.16 0.03 0.00
1500.0 to 2000.0: 0.35 0.05 -0.00 0.26 0.04 0.00 0.15 0.03 0.00
2000.0 to 2500.0: 0.39 0.06 0.00 0.25 0.04 -0.00 0.15 0.03 -0.00
2500.0 to 3000.0: 0.44 0.07 -0.00 0.30 0.05 -0.00 0.19 0.03 -0.00
3000.0 to 3000.8: 0.23 0.08 -0.04 0.11 0.04 -0.00 0.08 0.03 -0.00
*/
#include <stdlib.h>
#include <stdio.h>
#include <math.h>
#include "astro.h"
#define CHAR short
#define NARGS 18
struct plantbl {
char max_harmonic[NARGS];
char max_power_of_t;
CHAR *arg_tbl;
long *lon_tbl;
long *lat_tbl;
long *rad_tbl;
double distance;
double timescale;
double trunclvl;
};
static double mods3600 (double x);
static void mean_elements (double JED);
static int sscc (int k, double arg, int n);
static int g2plan (double J, struct plantbl *plan, double *pobj, int flag);
static double g1plan (double J, struct plantbl *plan);
static int gecmoon (double J, struct plantbl *lrtab,
struct plantbl *lattab, double *pobj);
/* time points */
#define MOSHIER_J2000 (2451545.0)
#define MOSHIER_BEGIN (1221000.5 - MJD0) /* directly from above */
#define MOSHIER_END (2798525.5 - MJD0) /* 2950.0; from libration table */
static double Args[NARGS];
static double LP_equinox;
static double NF_arcsec;
static double Ea_arcsec;
static double pA_precession;
/* This storage ought to be allocated dynamically. */
double ss[NARGS][30];
double cc[NARGS][30];
/* Time, in units of 10,000 Julian years from JED 2451545.0. */
static double T;
/* Conversion factors between degrees and radians */
#define DTR 1.7453292519943295769e-2
#define RTD 5.7295779513082320877e1
#define RTS 2.0626480624709635516e5 /* arc seconds per radian */
#define STR 4.8481368110953599359e-6 /* radians per arc second */
#define AUKM 1.4959787e8
static long lrtabl[] = {
175667, 66453, 5249, -42,
20057, 403, -2360, 6148,
-7644, 24646, -1273, 9127,
-1395, 1958,
232, -289,
-97, 553, 69, 130,
-80, 6,
129, -868, 26, -89,
1042, 1172, 194, -112,
-47433, -241666, 224626, -103752,
63419, 127606,
2294, -691, -1827, -1254,
-1, -119,
1057, 324,
505, -195, 254, -641,
-36, 1008, -1082, -3,
-87, 122,
161, 11,
2, -106,
29, -123,
-32, 41,
-524, -35,
133, -595,
225, 837, -108, -191,
-2294, 841, -340, -394,
-351, -1039, 238, -108,
-66, 21,
1405, 869, 520, 2776,
-174, 71,
425, 652, -1260, -80,
249, 77,
-192, -17,
-97, 134,
-7, -54,
-802, -7436, -2824, 70869,
-35, 2481,
1865, 1749, -2166, 2415,
33, -183,
-835, 283,
27, -45,
56, 235,
2, 718,
-1206, 275, -87, -158,
-7, -2534, 0, 10774,
1, -324,
-208, 821,
281, 1340, -797, 440,
224, 72,
-65, -5,
-7, -44,
-48, 66,
-151, -40,
-41, -45,
76, -108,
-18, 1202, 0, -2501,
1438, -595, 900, 3040,
-3435, -5,
-100, -26,
0, -13714,
-183, 68,
453, -83,
-228, 325,
97, 13,
2, 105,
-61, 257,
0, 57,
88, -11,
-1, -8220,
0, 275,
-43, -10,
-199, 105,
1, -5849, 2, 24887,
-128, 48,
712, 970, -1407, 845,
-266, 378,
311, 1526, -1751, 27,
0, -185858,
133, 6383,
-108, 25,
-7, 1944,
5, 390,
-11, 31,
277, -384, 158, 72,
-81, -41, -13, -111,
-2332, -65804, -698, 505812,
34, 1676716, -72, -6664384,
154, -57, 52, 95,
-4, -5,
-7, 37,
-63, -32,
4, 3349, 1, -14370,
16, -83,
0, -401,
13, 3013,
48, -20,
0, 250,
51, -79,
-7, -146,
148, 9,
0, -64,
-17, -59,
-67, -492,
-2, 2116601,
-12, -1848,
8, -436,
-6, 324, 0, -1363,
-163, 9,
0, -74,
63, 8167, -29, 37587,
-22, -74501,
-71, 497,
-1, 551747,
-87, -22,
0, -51,
-1, -463,
0, -444,
3, 89,
15, -84,
-36, -6829, -5, -21663,
0, 86058,
0, -298,
-2, 751, -2, -1015,
0, 69,
1, -4989, 0, 21458,
0, -330,
0, -7,
0, -226,
0, -1407, 0, 2942,
0, 66,
0, 667,
0, -155,
0, 105,
0, -107,
0, -74,
0, -52,
0, 91,
0, 59,
0, 235,
-1, -1819, 0, 2470,
71, 13,
0, 1026,
14, -54,
0, -174,
-121, -19,
0, -200,
0, 3008,
-16, -8043, -10, -37136,
-3, 73724,
-157, -5,
0, -854,
8, 147,
-13, -893,
0, 11869,
-23, -172,
89, 14,
-1, 872, 0, -3744,
11, 1606,
0, -559,
-1, -2530,
0, 454,
0, -193,
-60, -10,
-82, -13,
-75, 6,
36, 81,
354, -162836, 148, -516569,
4, 2054441,
4, -94,
39, 38,
61, -30,
2, 121,
-11, 590,
62, 2108,
0, -12242,
-476, -42,
-84, 113,
-394, 236,
0, 276,
-49, 31,
0, 86,
1, -1313,
1, 69,
-60, 88,
-46, 18,
0, -63818,
14, -93,
113, 547, -618, 17,
-7, 12290, -1, -25679,
0, 92,
-115, 50,
-48, 233,
4, 1311, 1, -5567,
3, 1251,
29, 548,
-244, 257,
-2, 1825,
42, 637,
-46, 68,
-62, 8,
3, 110,
445, -100, -316, -202,
2925, -621, 763, 1495,
-169, -184, 20, -76,
-475, -138, 8, -141,
-197, 1351, -1284, 422,
-129, 1879, -102, 8382,
-9, 45864958,
-215, 1350, -1285, 422,
-481, -136, 8, -140,
40, -53,
2622, -543, 700, 1406,
402, -95, -318, -194,
122, 13,
-30, 147,
-121, -902,
61, -23,
-63, 7,
69, 479,
-224, 228,
-7, 500,
0, -429,
-42, 193,
-92, 37,
67, 5,
-350, -31,
0, 67,
-55, -5,
0, 47,
-36, 53,
5, 561,
0, -126,
0, 871,
-52, 4,
-201, 116922, -22, 371352,
-12, -1473285,
0, 87,
-164, 84,
-3, 422,
30, 1434,
-26, 38,
2, -1249943,
-404, -34,
-57, 79,
5, 509,
1, 131,
-344, 168,
112, 22540, 30, 71218,
18, -283983,
0, -851,
0, -1538,
0, 1360,
-12, 51,
-48, 68,
88, -20,
1, 63,
0, -568,
303, 25,
0, -122,
87, 586, -606, -14,
0, -100,
-85, 8,
-165, 54,
-45, 140,
0, -54,
4, -831, 1, 3495,
31, 116,
-46, -11,
-371, 190,
-507, 399,
-2, 57,
-60, 36,
-198, -1174, -613, 4988,
-87, -4,
141, 560, -276, 187,
1876, 1379, 778, 4386,
24, -15,
167, -774,
-71, -9,
-62, 90,
98, 580, -663, -7,
34, -112,
57, 15,
-355, -214,
-3240, -13605, 12229, -5723,
3496, 7063,
33, -51,
1908, 1160, -226, 715,
964, 1170, -1264, 623,
14071, 5280, 5614, 3026,
488, 1576, -2, 226395859,
824, 1106, -1287, 617,
1917, 1156, -214, 718,
90, -97,
12078, -2366, 3282, 6668,
-219, 9179, 593, 2015,
-282, -186,
57, 25,
31, -102,
-77, -4,
-268, -341, -7, -45,
-3, 74,
15, -615,
-88, -7,
234, -353,
1, -119,
-163, -1159, -601, 4969,
22, -58,
-17, -11434,
17, 54,
348, 348, -460, 434,
-371, 175,
-11, -204,
4, -6440,
-5, -53,
-4, -14388, -37, -45231,
-7, 179562,
-44, 136,
-160, 49,
-101, 81,
-1, -188,
0, 2,
-4, 12124, -11, -25217,
71, 543, -557, -14,
-75, 526,
0, 395274,
-233, -16,
93, -20,
-43, 61,
0, -1275,
0, -824,
1, -415, 0, 1762,
-261, 131,
-45, 64,
-297, -25,
0, -17533,
-6, -56,
21, 1100,
1, 327,
1, 66,
23, -217,
-83, -7,
83, 86847, 49, 275754,
-4, -1093857,
-46, 2,
0, -24,
0, -419,
0, -5833,
1, 506,
0, -827,
-1, -377,
-11, -78,
0, 131945,
-2, -334,
1, -75,
0, -72,
0, -213,
-6, 5564, -2, -11618,
0, 1790,
0, -131,
0, 6,
0, -76,
0, -130,
0, -1115, 0, 4783,
0, -195,
0, -627,
0, -55,
0, -83,
0, 163,
0, -54,
0, 82,
0, 149,
0, -754, 0, 1578,
0, 138,
0, 68,
2, -2506, 0, 3399,
0, -125,
86, 16,
0, -6350, 0, 27316,
18, -63,
0, -169,
-1, 46,
-136, -21,
0, -239,
-30, -8788, -15, -40549,
-4, 80514,
-46, -8,
-168, -6,
-1, 536, 0, -2314,
9, 148,
-13, -842,
-1, 307713,
-23, -175,
95, 15,
0, -297,
11, 1341,
0, -106,
0, 5,
-4, 68,
-114, 10,
32, 75,
159, -130487, 98, -413967,
2, 1647339,
-4, -85,
100, -46,
2, 95,
-11, 461,
51, 1647,
0, -32090,
-375, -33,
-65, 86,
-300, 180,
0, 836, 0, -3576,
0, -222,
0, -993,
-41, 60,
0, -4537,
-431, -34,
2, 927, 0, -1931,
-79, 33,
-31, 144,
-1, 284, 0, -1207,
0, 88,
-11, 315,
-178, 177,
-1, 144,
-58, 986,
11, 86,
-228, -110,
2636, -494, 718, 1474,
28, -35,
-24, 782, -797, 277,
2142, -1231, 856, 1853,
74, 10797, 0, 23699298,
-21, 786, -796, 277,
27, -34,
2615, -494, 712, 1461,
-226, -109,
-11, 663,
0, -123,
-169, 157,
-54, 266,
0, -76,
1, -634, 0, 2738,
-25, 106,
-63, 24,
0, -372,
-221, -24,
0, -5356,
0, -219,
0, 91,
-28, 7684, -6, 24391,
-1, -96795,
-77, 43,
2, 95,
-47, -3,
0, -84530,
2, 310,
1, 88,
111, 19331, 32, 61306,
4, -243595,
0, 770,
0, -103,
0, 160,
0, 356,
0, 236,
-41, 354,
39, 303,
12, -56,
873, -143, 238, 482,
-28, 35,
-93, 31,
-3, 7690211,
-91, 33,
-34, 43,
824, -130, 226, 450,
-39, 341,
-1, -687,
0, -303,
11, -2935, 1, 12618,
121, 924, 9, -1836,
-268, -1144, -678, 3685,
-69, -261,
0, -4115951,
-69, -261,
5, -151,
0, -88,
0, 91,
0, 187,
0, -1281,
1, 77,
1, 6059, 3, 19238,
0, -76305,
0, -90,
0, -238,
0, -962, 0, 4133,
0, 96,
0, 9483,
0, 85,
0, -688,
0, -5607,
0, 55,
0, -752,
0, 71,
0, 303,
0, -288,
0, 57,
0, 45,
0, 189,
0, 401,
0, -1474, 0, 3087,
0, -71,
0, 2925,
0, -75,
0, 359,
0, 55,
1, -10155, 0, 43735,
0, -572,
0, -49,
0, -660,
0, -3591, 0, 7516,
0, 668,
-1, -53,
-2, 384259,
0, -163,
0, -93,
1, 112,
-95, -11528, -22, -36505,
-1, 145308,
5, 145,
0, 4047,
1, 1483, 0, -6352,
0, 991, 0, -4262,
0, -93,
0, -334,
0, -160,
0, -153,
-10, 127,
51, 185,
-77, 18,
56, 1217, 6, 1919574,
-74, 17,
50, 180,
-5, 93,
0, -104,
0, -58,
-3, -353, -1, 1499,
0, -229,
-15, 86,
0, -93657,
0, 1561, 0, -6693,
0, -5839,
1, 6791, 0, -29143,
1, -701, 0, 3015,
0, 2543,
0, 693,
-1, 361233,
0, -50,
0, 946,
-1, -140,
-70, 407,
0, -450995,
0, -368,
0, 54,
0, -802,
0, -96,
0, 1274, 0, -5459,
0, -614, 0, 2633,
0, 685,
0, -915,
0, -85,
0, 88,
0, 106,
0, 928,
0, -726, 0, 1523,
0, 5715,
0, -4338, 0, 18706,
0, -135,
0, -132,
0, -158,
0, -98,
0, 680,
-1, 138968,
0, -192,
0, -1698,
0, -2734, 0, 11769,
0, 4,
0, 673, 0, -2891,
0, 889, 0, -3821,
0, 121,
-1, 143783,
0, 231,
-9, 51,
0, -57413,
0, -483,
0, -407,
0, 676, 0, -2902,
0, 531,
0, 445,
0, 672,
0, 19336,
0, 70,
0, -39976,
0, -68,
0, 4203,
0, -406,
0, 446,
0, -108,
0, 79,
0, 84,
0, 734,
0, 255,
0, 3944,
0, -655, 0, 2825,
0, -109,
0, -234,
0, 57,
0, 19773,
0, -2013,
0, 958,
0, -521,
0, -757,
0, 10594,
0, -9901,
0, 199,
0, -275,
0, 64,
0, 54,
0, 165,
0, 1110,
0, -3286,
0, 909,
0, 54,
0, 87,
0, 258,
0, 1261,
0, -51,
0, 336,
0, -114,
0, 2185,
0, -850,
0, 75,
0, -69,
0, -103,
0, 776,
0, -1238,
0, 137,
0, 67,
0, -260,
0, 130,
0, 49,
0, 228,
0, 215,
0, -178,
0, 57,
0, -133,
};
static long lrtabb[] = {-1};
static long lrtabr[] = {
-5422, -2120, 1077, 772,
39, 75, 3, 10,
-468, -326, -113, -78,
-4, -2,
1, 3,
29, 24, 4, 2,
1, 0,
-9, 7, -2, 0,
-32, -13, -3, -3,
233, 126, 89, 77,
-33, 16,
3, -3, 0, -1,
2, 0,
0, 1,
4, 9, 1, 1,
16, -1, 0, 18,
3, 2,
0, 0,
0, 0,
0, 0,
0, 0,
0, -1,
-22, -5,
10, 3, 1, 1,
-15, 7, -2, 1,
-8, -11, -1, -2,
-1, 1,
46, -58, 126, -23,
4, 8,
35, 8, 10, -17,
0, 0,
0, 0,
-10, -7,
0, 0,
-23, 3, 151, 10,
-327, 0,
4, -5, 6, 5,
1, 0,
-1, -3,
0, 0,
0, 1,
-185, 0,
-3, -24, -5, -2,
-1062, 3, 4560, 0,
-3, 0,
4, 1,
8, -1, 2, 4,
0, 1,
0, -1,
0, 0,
-1, 0,
0, 1,
0, 0,
-1, -1,
277, 3, -583, 1,
-1, 4, -32, 7,
0, -34,
1, -1,
-23685, 0,
-1, -2,
-1, -7,
-5, -4,
0, 2,
-2, 0,
-5, -1,
35, 0,
0, 2,
202, 0,
180, 0,
0, -1,
-3, -6,
-193, 0, 770, -1,
-2, -4,
-32, 23, -28, -46,
-13, -9,
-54, 10, -1, -61,
-44895, 0,
-230, 5,
-1, -4,
-71, 0,
-15, 0,
1, 0,
15, 11, -3, 6,
2, -3, 4, -1,
2576, -138, -19881, -47,
-65906, -1, 261925, -4,
-2, -7, 4, -2,
0, 0,
-1, 0,
1, -3,
172, -2, -727, 0,
4, 1,
324, 0,
-139, 1,
1, 3,
-276, 0,
5, 3,
9, 0,
-1, 10,
-37, 0,
5, -1,
76, -10,
1318810, 1,
12, -1,
-38, 1,
-141, 0, 611, 0,
0, -11,
4, 0,
-627, 2, -2882, -3,
5711, -2,
-48, -7,
55294, 0,
2, -7,
31, 0,
34, 0,
-259, 0,
-55, 2,
6, 3,
-4273, 20, -13554, 3,
53878, 0,
-46, 0,
-85, 0, 114, 0,
-45, 0,
-818, 0, 3520, 0,
34, 0,
-157, 0,
29, 0,
-878, 0, 1838, 0,
-428, 0,
161, 0,
24, 0,
65, 0,
19, 0,
15, 0,
12, 0,
-26, 0,
-14, 0,
-149, 0,
584, 0, -793, 0,
4, -23,
-238, 0,
-18, -5,
45, 0,
-7, 42,
79, 0,
-1723, 0,
2895, -6, 13362, -4,
-26525, -1,
-2, 57,
291, 0,
52, -3,
-327, 5,
-2755, 0,
-63, 9,
5, -33,
-261, -1, 1122, 0,
621, -4,
-227, 0,
1077, 0,
-167, 0,
85, 0,
-4, 23,
-5, 32,
3, 30,
-32, 14,
64607, 141, 204958, 59,
-815115, 2,
-37, -1,
15, -15,
12, 24,
48, -1,
235, 4,
843, -25,
4621, 0,
-17, 191,
45, 34,
95, 159,
-132, 0,
13, 20,
32, 0,
-540, 0,
29, 0,
37, 25,
8, 19,
22127, 0,
-35, -5,
232, -48, 7, 262,
5428, 3, -11342, 1,
-45, 0,
-21, -49,
-100, -21,
-626, 1, 2665, 0,
532, -2,
235, -12,
-111, -105,
774, 1,
-283, 17,
29, 20,
3, 27,
47, -2,
-43, -192, -87, 136,
-269, -1264, 646, -330,
-79, 73, -33, -9,
60, -205, 61, 4,
-584, -85, -182, -555,
-780, -57, -3488, -45,
-19818328, -4,
583, 93, 182, 555,
-59, 208, -60, -4,
23, 17,
235, 1133, -608, 302,
41, 174, 84, -137,
6, -53,
63, 13,
-392, 52,
-10, -27,
-3, -27,
199, -31,
99, 97,
-218, -3,
209, 0,
84, 18,
16, 40,
2, -30,
14, -154,
30, 0,
-2, 24,
-108, 0,
-24, -16,
262, -2,
55, 0,
-304, 0,
2, 25,
55112, 95, 175036, 11,
-694477, 5,
41, 0,
-38, -76,
199, 1,
679, -14,
-17, -12,
582619, 1,
-16, 191,
38, 27,
-234, 2,
-60, 0,
80, 163,
-10296, 48, -32526, 13,
129703, 8,
-1366, 0,
-741, 0,
-646, 0,
25, 6,
33, 23,
10, 43,
-31, 0,
-6, 0,
-12, 147,
59, 0,
287, -42, -7, 297,
-59, 0,
-4, -42,
-27, -81,
-69, -22,
27, 0,
-423, -2, 1779, -1,
-57, 15,
5, -23,
94, 182,
-197, -250,
24, 1,
-18, -30,
581, -98, -2473, -303,
-2, 43,
-277, 70, -92, -136,
-681, 925, -2165, 384,
-8, -12,
382, 82,
-4, 35,
-45, -31,
-286, 48, 3, -328,
-55, -17,
8, -28,
-106, 175,
-6735, 1601, -2832, -6052,
3495, -1730,
-25, -17,
-574, 944, -354, -112,
-579, 476, -308, -625,
-2411, 7074, -1529, 2828,
-1335, 247,-112000844, -1,
545, -409, 305, 637,
572, -950, 356, 106,
48, 44,
1170, 5974, -3298, 1624,
-4538, -106, -996, 294,
92, -139,
-12, 28,
50, 16,
2, -38,
169, -133, 22, -3,
38, 1,
305, 7,
4, -44,
175, 116,
59, 1,
-573, 81, 2453, 297,
29, 11,
5674, -8,
-27, 9,
173, -173, 215, 228,
-87, -184,
102, -5,
3206, 2,
-53, 2,
7159, -7, 22505, -19,
-89344, -3,
67, 22,
24, 79,
-40, -50,
94, 0,
186, 0,
-6063, 0, 12612, -5,
-271, 35, 7, -278,
-479, -74,
426754, 0,
8, -116,
-10, -47,
-31, -22,
645, 0,
426, 0,
-213, 0, 903, 0,
-67, -133,
-33, -23,
13, -152,
-9316, 0,
29, -3,
-564, 11,
-167, 0,
-34, 0,
114, 12,
4, -44,
-44561, 42, -141493, 25,
561256, -2,
-1, -24,
-261, 0,
211, 0,
-4263, 0,
-262, 1,
1842, 0,
202, 0,
41, -6,
77165, 0,
176, -1,
39, 1,
-24, 0,
118, 0,
-2991, -4, 6245, -1,
46886, 0,
-75, 0,
-100, 0,
40, 0,
75, 0,
-618, 0, 2652, 0,
112, 0,
1780, 0,
30, 0,
49, 0,
86, 0,
33, 0,
-30, 0,
-95, 0,
277, 0, -580, 0,
-35, 0,
-319, 0,
1622, 1, -2201, 0,
79, 0,
10, -57,
2363, 0, -10162, 0,
-41, -12,
62, 0,
30, 1,
-14, 89,
-2721, 0,
5780, -19, 26674, -10,
-52964, -2,
-5, 30,
-4, 111,
-317, -1, 1369, 0,
93, -6,
-564, 9,
-115913, 0,
-113, 15,
10, -62,
99, 0,
891, -7,
36, 0,
108, 0,
-42, -2,
7, 75,
-50, 21,
86822, 104, 275441, 65,
-1096109, 1,
-56, 3,
31, 66,
63, -1,
307, 7,
1097, -34,
17453, 0,
-22, 250,
57, 43,
120, 200,
-297, 0, 1269, 0,
166, 0,
-662, 0,
40, 28,
1521, 0,
-23, 288,
351, -2, -729, 0,
-22, -52,
-96, -21,
-139, -1, 589, 0,
35, 0,
210, 7,
-118, -119,
62, 0,
-583, -26,
-42, 5,
-73, 152,
-330, -1759, 983, -479,
-23, -19,
-522, -15, -185, -533,
739, 1559, -1300, 614,
-7332, 52, -15836758, 0,
524, 16, 185, 532,
23, 18,
330, 1751, -978, 476,
73, -151,
519, 18,
38, 0,
105, 113,
-178, -37,
26, 0,
262, 1, -1139, 0,
71, 17,
16, 42,
151, 0,
16, -148,
4147, 0,
149, 0,
-30, 0,
2980, 9, 9454, 2,
-37519, 0,
-28, -49,
37, -1,
2, -31,
33870, 0,
-208, 1,
-59, 1,
-13105, 68, -41564, 21,
165148, 3,
-1022, 0,
-40, 0,
-132, 0,
-228, 0,
95, 0,
-138, -16,
-126, 16,
24, 5,
-57, -346, 191, -94,
-14, -11,
-12, -37,
-3053364, -1,
13, 36,
17, 13,
51, 327, -179, 90,
138, 16,
233, 0,
62, 0,
1164, 0, -5000, 0,
-407, 117, 770, 9,
-4, 1, 21, 2,
1, 0,
-16869, 0,
-1, 0,
1, 0,
35, 0,
-78, 0,
78, 0,
-533, 0,
-31, 1,
-2448, -6, -7768, -1,
30812, 0,
37, 0,
-227, 0,
197, 0, -846, 0,
-77, 0,
4171, 0,
-67, 0,
287, 0,
2532, 0,
-19, 0,
-40, 0,
-56, 0,
128, 0,
83, 0,
-45, 0,
-36, 0,
-92, 0,
-134, 0,
714, 0, -1495, 0,
32, 0,
-981, 0,
15, 0,
-166, 0,
-59, 0,
4923, 0, -21203, 0,
246, 0,
15, 0,
104, 0,
1683, 0, -3523, 0,
-865, 0,
-25, 1,
-186329, -1,
10, 0,
50, 0,
53, 0,
5455, -45, 17271, -10,
-68747, 0,
69, -2,
-7604, 0,
-724, 1, 3101, 0,
-46, 0, 200, 0,
-44, 0,
97, 0,
-53, 0,
62, 0,
-54, -4,
88, -24,
-9, -36,
-581, 27, -914711, 3,
8, 35,
-86, 24,
51, 3,
48, 0,
26, 0,
133, 1, -577, 0,
105, 0,
-3, -1,
3194, 0,
528, 0, -2263, 0,
2028, 0,
-3266, 1, 14016, 0,
10, 0, -41, 0,
-100, 0,
-32, 0,
-124348, 0,
16, 0,
-325, 0,
50, -1,
1, 0,
-553, 0,
0, 0,
0, 0,
2, 0,
-34, 0,
-444, 0, 1902, 0,
9, 0, -37, 0,
254, 0,
156, 0,
-2, 0,
-35, 0,
-48, 0,
-368, 0,
327, 0, -686, 0,
-2263, 0,
1952, 0, -8418, 0,
-13, 0,
52, 0,
9, 0,
21, 0,
-261, 0,
-62404, 0,
0, 0,
79, 0,
1056, 0, -4547, 0,
-351, 0,
-305, 0, 1310, 0,
-1, 0, 6, 0,
0, 0,
-55953, 0,
-80, 0,
0, 0,
168, 0,
-147, 0,
127, 0,
-265, 0, 1138, 0,
-1, 0,
-9, 0,
-8, 0,
-5984, 0,
-22, 0,
-5, 0,
0, 0,
0, 0,
127, 0,
-2, 0,
10, 0,
-31, 0,
-29, 0,
-286, 0,
-98, 0,
-1535, 0,
252, 0, -1087, 0,
43, 0,
4, 0,
-19, 0,
-7620, 0,
29, 0,
-322, 0,
203, 0,
0, 0,
-3587, 0,
10, 0,
0, 0,
94, 0,
0, 0,
-1, 0,
-1, 0,
-315, 0,
1, 0,
0, 0,
0, 0,
-30, 0,
-94, 0,
-460, 0,
1, 0,
-114, 0,
0, 0,
-746, 0,
4, 0,
-23, 0,
24, 0,
0, 0,
-237, 0,
1, 0,
0, 0,
-18, 0,
0, 0,
0, 0,
-16, 0,
-76, 0,
-67, 0,
0, 0,
-16, 0,
0, 0,
};
static CHAR lrargs[] = {
0, 3,
3, 4, 3, -8, 4, 3, 5, 1,
2, 2, 5, -5, 6, 2,
5, -1, 10, 2, 13, -1, 11, 3, 3, -7, 4, 0,
3, 1, 13, -1, 11, 2, 5, 1,
2, 4, 5,-10, 6, 0,
4, 2, 10, -2, 13, 14, 3,-23, 4, 1,
3, 3, 2, -7, 3, 4, 4, 1,
3, -1, 13, 18, 2,-16, 3, 2,
2, 8, 2,-13, 3, 1,
5, 2, 10, -2, 13, 2, 3, -3, 5, 1, 6, 0,
3, -1, 13, 26, 2,-29, 3, 0,
3, 1, 10, -1, 11, 2, 4, 1,
4, 1, 10, -1, 13, 3, 2, -4, 3, 1,
4, 1, 10, -1, 13, 3, 3, -4, 4, 0,
3, -1, 10, 15, 2,-12, 3, 0,
4, 2, 10, -3, 13, 24, 2,-24, 3, 0,
3, -1, 10, 23, 2,-25, 3, 0,
4, 1, 10, -1, 11, 1, 3, 1, 6, 0,
4, 2, 10, -2, 11, 5, 2, -6, 3, 0,
4, 2, 10, -2, 13, 6, 2, -8, 3, 0,
4, -2, 10, 1, 13, 12, 2, -8, 3, 1,
5, -1, 10, 1, 13, -1, 11, 20, 2,-20, 3, 1,
4, -2, 10, 1, 13, 3, 1, -1, 3, 1,
5, 2, 10, -2, 13, 2, 3, -5, 5, 5, 6, 0,
4, 2, 10, -2, 13, 2, 3, -3, 5, 1,
4, 2, 10, -2, 13, 6, 3, -8, 4, 0,
4, -2, 10, 1, 13, 20, 2,-21, 3, 1,
4, 1, 10, -1, 11, 1, 3, 1, 5, 0,
1, 1, 6, 0,
4, 2, 10, -2, 13, 5, 3, -6, 4, 0,
3, 3, 2, -5, 3, 2, 5, 0,
2, -1, 11, 1, 14, 1,
4, 2, 10, -2, 13, 2, 3, -2, 5, 0,
2, 1, 3, -2, 4, 1,
4, 1, 10, -1, 11, 5, 2, -7, 3, 0,
1, 1, 5, 0,
2, 7, 3,-13, 4, 0,
4, -2, 10, 1, 13, 15, 2,-13, 3, 0,
4, 2, 10, -2, 13, 3, 2, -3, 3, 0,
2, -2, 11, 2, 14, 1,
3, 1, 10, 1, 12, -1, 13, 1,
3, -1, 13, 21, 2,-21, 3, 0,
2, 3, 2, -5, 3, 0,
2, 2, 3, -4, 4, 1,
2, 5, 2, -8, 3, 0,
3, -1, 13, 23, 2,-24, 3, 0,
2, 6, 3,-11, 4, 0,
1, 2, 5, 0,
2, 3, 3, -6, 4, 0,
2, 5, 3, -9, 4, 0,
4, 1, 10, -1, 11, 1, 3, -2, 5, 0,
3, 2, 10, 2, 12, -2, 13, 1,
2, 2, 2, -3, 3, 2,
2, 4, 3, -7, 4, 0,
2, 2, 13, -2, 11, 0,
2, 3, 3, -5, 4, 0,
2, 1, 2, -2, 3, 0,
2, 2, 3, -3, 4, 0,
4, 1, 10, -1, 11, 4, 2, -5, 3, 0,
2, 1, 3, -1, 4, 0,
2, 4, 2, -6, 3, 0,
4, 2, 10, -2, 13, 2, 2, -2, 3, 0,
3, 1, 10, -1, 11, 1, 2, 0,
2, 1, 2, -1, 3, 0,
3, 1, 12, 2, 13, -2, 11, 0,
2, 5, 3, -8, 4, 0,
2, 1, 3, -3, 5, 0,
3, 2, 10, 1, 12, -2, 13, 1,
2, 4, 3, -6, 4, 0,
2, 1, 3, -2, 5, 1,
2, 3, 3, -4, 4, 0,
2, 3, 2, -4, 3, 1,
2, 1, 10, -1, 13, 0,
2, 1, 3, -1, 5, 0,
2, 1, 3, -2, 6, 0,
2, 2, 3, -2, 4, 0,
2, 1, 3, -1, 6, 0,
2, 8, 2,-14, 3, 0,
3, 1, 3, 2, 5, -5, 6, 1,
3, 5, 3, -8, 4, 3, 5, 1,
1, 1, 12, 3,
3, 3, 3, -8, 4, 3, 5, 1,
3, 1, 3, -2, 5, 5, 6, 0,
2, 8, 2,-12, 3, 0,
2, 1, 3, 1, 5, 0,
3, 2, 10, 1, 12, -2, 11, 1,
2, 5, 2, -7, 3, 0,
3, 1, 10, 1, 13, -2, 11, 0,
2, 2, 2, -2, 3, 0,
2, 5, 3, -7, 4, 0,
3, 1, 12, -2, 13, 2, 11, 0,
2, 4, 3, -5, 4, 0,
2, 3, 3, -3, 4, 0,
1, 1, 2, 0,
3, 3, 10, 1, 12, -3, 13, 0,
2, 2, 3, -4, 5, 0,
2, 2, 3, -3, 5, 0,
2, 2, 10, -2, 13, 0,
2, 2, 3, -2, 5, 0,
2, 3, 2, -3, 3, 0,
3, 1, 10, -1, 12, -1, 13, 1,
2, 2, 3, -1, 5, 0,
2, 2, 3, -2, 6, 0,
1, 2, 12, 2,
3, -2, 10, 1, 11, 1, 14, 0,
2, 2, 10, -2, 11, 0,
2, 2, 2, -1, 3, 0,
4, -2, 10, 2, 13, 1, 2, -1, 3, 0,
2, 4, 2, -4, 3, 0,
2, 3, 10, -3, 13, 0,
4, -2, 10, 2, 13, 1, 3, -1, 5, 0,
2, 3, 3, -3, 5, 0,
3, 2, 10, -1, 12, -2, 13, 2,
3, 3, 10, -1, 13, -2, 11, 0,
1, 3, 12, 1,
4, -2, 10, 2, 13, 2, 2, -2, 3, 0,
3, 2, 10, -1, 12, -2, 11, 1,
2, 5, 2, -5, 3, 0,
2, 4, 10, -4, 13, 0,
2, 6, 2, -6, 3, 0,
3, 2, 10, -2, 12, -2, 13, 1,
3, 4, 10, -2, 13, -2, 11, 0,
3, 2, 10, -2, 12, -2, 11, 0,
2, 7, 2, -7, 3, 0,
3, 2, 10, -3, 12, -2, 13, 0,
2, 8, 2, -8, 3, 0,
2, 9, 2, -9, 3, 0,
2, 10, 2,-10, 3, 0,
3, 2, 10, -4, 12, -1, 13, 0,
3, 4, 10, -2, 12, -3, 13, 0,
4, 4, 10, -1, 12, -1, 13, -2, 11, 0,
3, 2, 10, -3, 12, -1, 13, 1,
4, -2, 10, 1, 13, 3, 3, -2, 5, 0,
3, 4, 10, -1, 12, -3, 13, 0,
4, -2, 10, 1, 13, 3, 3, -3, 5, 0,
4, 2, 10, -2, 12, 1, 13, -2, 11, 0,
4, -2, 10, 1, 13, 2, 2, -1, 3, 0,
3, 3, 10, -1, 12, -2, 11, 0,
3, 4, 10, -1, 13, -2, 11, 0,
3, 2, 10, -2, 12, -1, 13, 2,
4, -2, 10, 1, 13, 2, 3, -1, 5, 0,
3, 3, 10, -1, 12, -2, 13, 0,
4, -2, 10, 1, 13, 3, 2, -3, 3, 0,
4, -2, 10, 1, 13, 2, 3, -2, 5, 0,
2, 4, 10, -3, 13, 0,
4, -2, 10, 1, 13, 2, 3, -3, 5, 0,
3, -2, 10, 1, 13, 1, 2, 0,
4, 2, 10, -1, 12, 1, 13, -2, 11, 1,
4, -2, 10, 1, 13, 2, 2, -2, 3, 0,
2, 3, 12, -1, 13, 0,
2, 3, 10, -2, 11, 0,
2, 1, 10, -2, 12, 0,
4, 4, 10, 1, 12, -1, 13, -2, 11, 0,
3, -1, 13, 3, 2, -2, 3, 0,
3, -1, 13, 3, 3, -2, 5, 0,
3, -2, 10, 18, 2,-15, 3, 0,
5, 2, 10, -1, 13, 3, 3, -8, 4, 3, 5, 0,
3, 2, 10, -1, 12, -1, 13, 2,
5, -2, 10, 1, 13, 5, 3, -8, 4, 3, 5, 0,
5, -2, 10, 1, 13, 1, 3, 2, 5, -5, 6, 0,
4, 2, 10, -2, 13, 18, 2,-17, 3, 0,
4, -2, 10, 1, 13, 1, 3, -1, 6, 0,
4, -2, 10, 1, 13, 2, 3, -2, 4, 0,
4, -2, 10, 1, 13, 1, 3, -1, 5, 0,
2, 3, 10, -2, 13, 0,
4, -2, 10, 1, 13, 3, 2, -4, 3, 0,
4, -2, 10, 1, 13, 3, 3, -4, 4, 0,
4, -2, 10, 1, 13, 1, 3, -2, 5, 0,
3, 4, 10, 1, 12, -3, 13, 0,
4, -2, 10, 1, 13, 1, 3, -3, 5, 0,
3, -1, 13, 4, 2, -4, 3, 0,
4, -2, 10, 1, 13, 1, 2, -1, 3, 0,
4, -2, 10, 1, 13, 1, 3, -1, 4, 0,
4, -2, 10, 1, 13, 2, 3, -3, 4, 0,
4, -2, 10, 1, 13, 3, 3, -5, 4, 0,
3, 2, 10, 1, 13, -2, 11, 0,
4, -2, 10, -1, 13, 1, 11, 1, 14, 0,
4, -2, 10, 1, 13, 2, 2, -3, 3, 1,
2, 2, 12, -1, 13, 1,
3, 3, 10, 1, 12, -2, 11, 0,
4, 2, 10, -1, 13, 2, 3, -4, 4, 0,
4, 2, 10, -1, 13, 3, 2, -5, 3, 0,
2, 1, 10, -1, 12, 1,
3, -1, 13, 3, 2, -3, 3, 0,
3, -2, 10, 1, 13, 1, 5, 0,
4, 2, 10, -1, 13, 1, 3, -2, 4, 0,
3, -1, 13, 2, 3, -2, 5, 0,
4, 2, 10, -1, 13, -1, 11, 1, 14, 0,
3, -1, 13, 5, 3, -6, 4, 0,
3, -2, 10, 1, 13, 1, 6, 0,
3, -1, 10, 1, 3, -1, 5, 0,
4, -2, 10, 1, 13, 8, 2,-13, 3, 1,
3, -2, 10, 18, 2,-16, 3, 1,
5, -2, 10, 1, 13, 3, 2, -7, 3, 4, 4, 1,
4, 2, 10, -1, 13, 2, 5, -5, 6, 1,
5, 2, 10, -1, 13, 4, 3, -8, 4, 3, 5, 1,
2, 2, 10, -1, 13, 2,
5, -2, 10, 1, 13, 4, 3, -8, 4, 3, 5, 1,
4, -2, 10, 1, 13, 2, 5, -5, 6, 1,
5, 2, 10, -1, 13, 3, 2, -7, 3, 4, 4, 0,
4, 2, 10, -2, 13, 18, 2,-16, 3, 1,
4, 2, 10, -1, 13, 8, 2,-13, 3, 1,
3, -1, 10, 3, 2, -4, 3, 0,
3, -1, 13, 6, 2, -8, 3, 0,
3, -1, 13, 2, 3, -3, 5, 0,
3, -1, 13, 6, 3, -8, 4, 0,
3, 2, 10, -1, 13, 1, 6, 0,
4, -2, 10, 1, 13, -1, 11, 1, 14, 0,
4, -2, 10, 1, 13, 1, 3, -2, 4, 0,
3, 2, 10, -1, 13, 1, 5, 0,
3, 3, 10, 1, 12, -2, 13, 0,
4, -2, 10, 1, 13, 3, 2, -5, 3, 0,
4, -2, 10, 1, 13, 2, 3, -4, 4, 0,
2, -1, 13, 1, 2, 0,
4, 2, 10, -1, 13, 2, 2, -3, 3, 0,
3, -1, 10, 1, 2, -1, 3, 0,
3, -1, 13, 4, 2, -5, 3, 0,
3, 2, 10, -3, 13, 2, 11, 0,
4, 2, 10, -1, 13, 2, 3, -3, 4, 0,
3, -1, 13, 2, 2, -2, 3, 0,
4, 2, 10, -1, 13, 1, 2, -1, 3, 0,
4, 2, 10, 1, 12, 1, 13, -2, 11, 0,
3, -2, 13, 18, 2,-15, 3, 0,
2, 1, 12, -1, 13, 2,
3, -1, 13, 1, 3, -1, 6, 0,
4, 2, 10, -1, 13, 1, 3, -2, 5, 0,
3, -1, 13, 2, 3, -2, 4, 0,
3, -1, 13, 1, 3, -1, 5, 0,
4, 2, 10, -1, 13, 3, 3, -4, 4, 0,
1, 1, 10, 0,
3, -1, 13, 3, 2, -4, 3, 0,
3, -1, 13, 3, 3, -4, 4, 0,
4, 2, 10, -1, 13, 1, 3, -1, 5, 0,
4, 2, 10, -1, 13, 2, 3, -2, 4, 0,
3, -1, 13, 1, 3, -2, 5, 0,
3, 2, 10, 1, 12, -1, 13, 2,
3, 1, 12, 1, 13, -2, 11, 0,
3, -1, 13, 1, 2, -1, 3, 0,
4, 2, 10, -1, 13, 2, 2, -2, 3, 0,
3, -1, 13, 4, 2, -6, 3, 0,
3, -1, 13, 2, 3, -3, 4, 0,
3, 1, 13, 1, 2, -2, 3, 0,
4, 2, 10, -1, 13, 3, 3, -3, 4, 0,
2, 3, 13, -2, 11, 0,
4, 2, 10, -1, 13, 4, 2, -5, 3, 0,
3, 1, 10, 1, 2, -1, 3, 0,
3, -1, 13, 2, 2, -3, 3, 1,
3, 2, 10, 2, 12, -3, 13, 0,
3, 2, 10, -1, 13, 1, 2, 0,
3, 1, 13, 2, 3, -4, 4, 0,
3, 1, 13, 3, 2, -5, 3, 0,
2, 21, 2,-21, 3, 0,
3, 1, 10, 1, 12, -2, 13, 1,
4, 2, 10, -1, 13, 2, 3, -4, 5, 0,
4, 2, 10, -1, 13, 7, 3,-10, 4, 0,
2, -1, 13, 1, 5, 0,
3, 1, 13, 1, 3, -2, 4, 0,
4, 2, 10, -3, 13, 2, 3, -2, 5, 0,
3, 1, 10, 1, 3, -2, 5, 0,
3, 1, 13, -1, 11, 1, 14, 1,
2, -1, 13, 1, 6, 0,
4, 2, 10, -1, 13, 6, 3, -8, 4, 1,
4, 2, 10, -1, 13, 2, 3, -3, 5, 1,
3, -1, 13, 8, 3,-15, 4, 0,
4, 2, 10, -1, 13, 6, 2, -8, 3, 0,
5, 2, 10, -1, 13, -2, 11, 5, 2, -6, 3, 0,
3, 1, 10, 3, 3, -4, 4, 0,
3, 1, 10, 3, 2, -4, 3, 1,
4, 1, 10, -1, 13, -1, 11, 2, 4, 0,
3, -2, 13, 26, 2,-29, 3, 0,
3, -1, 13, 8, 2,-13, 3, 0,
3, -2, 13, 18, 2,-16, 3, 2,
4, -1, 13, 3, 2, -7, 3, 4, 4, 0,
3, 1, 13, 2, 5, -5, 6, 1,
4, 1, 13, 4, 3, -8, 4, 3, 5, 1,
1, 1, 13, 3,
4, -1, 13, 4, 3, -8, 4, 3, 5, 1,
3, -1, 13, 2, 5, -5, 6, 1,
4, 1, 13, 3, 2, -7, 3, 4, 4, 0,
2, 18, 2,-16, 3, 1,
3, 1, 13, 8, 2,-13, 3, 2,
2, 26, 2,-29, 3, 0,
4, 1, 10, 1, 13, -1, 11, 2, 4, 0,
5, 2, 10, 1, 13, -2, 11, 5, 2, -6, 3, 0,
3, 1, 13, 8, 3,-15, 4, 1,
4, 2, 10, -3, 13, 2, 3, -3, 5, 0,
3, 1, 10, 1, 3, -1, 5, 0,
2, 1, 13, 1, 6, 0,
4, 2, 10, -1, 13, 5, 3, -6, 4, 0,
3, 1, 10, 2, 3, -2, 4, 0,
3, -1, 13, -1, 11, 1, 14, 1,
4, 2, 10, -1, 13, 2, 3, -5, 6, 0,
4, 2, 10, -1, 13, 2, 3, -2, 5, 0,
5, 2, 10, -1, 13, 2, 3, -4, 5, 5, 6, 0,
3, -1, 13, 1, 3, -2, 4, 1,
2, 1, 13, 1, 5, 0,
4, 2, 10, -1, 13, 4, 3, -4, 4, 0,
4, 2, 10, -1, 13, 3, 2, -3, 3, 0,
4, 2, 10, 2, 12, -1, 13, -2, 11, 0,
2, 1, 10, 1, 12, 2,
3, -1, 13, 3, 2, -5, 3, 0,
3, -1, 13, 2, 3, -4, 4, 0,
4, 2, 10, -1, 13, 2, 3, -1, 5, 0,
4, 2, 10, -1, 13, 2, 3, -2, 6, 0,
3, 1, 10, 1, 12, -2, 11, 0,
3, 2, 10, 2, 12, -1, 13, 1,
3, 1, 13, 2, 2, -3, 3, 1,
3, -1, 13, 1, 11, 1, 14, 0,
2, 1, 13, -2, 11, 0,
4, 2, 10, -1, 13, 5, 2, -6, 3, 0,
3, -1, 13, 1, 2, -2, 3, 0,
3, 1, 13, 2, 3, -3, 4, 0,
3, 1, 13, 1, 2, -1, 3, 0,
4, 2, 10, -1, 13, 4, 2, -4, 3, 0,
3, 2, 10, 1, 12, -3, 13, 1,
3, 1, 13, 1, 3, -2, 5, 0,
3, 1, 13, 3, 3, -4, 4, 0,
3, 1, 13, 3, 2, -4, 3, 0,
2, 1, 10, -2, 13, 0,
4, 2, 10, -1, 13, 3, 3, -4, 5, 0,
3, 1, 13, 1, 3, -1, 5, 0,
3, 1, 13, 2, 3, -2, 4, 0,
3, 1, 13, 1, 3, -1, 6, 0,
4, 2, 10, -1, 13, 3, 3, -3, 5, 0,
4, 2, 10, -1, 13, 6, 2, -7, 3, 0,
2, 1, 12, 1, 13, 2,
4, 2, 10, -1, 13, 3, 3, -2, 5, 0,
4, 2, 10, 1, 12, -1, 13, -2, 11, 0,
2, 1, 10, 2, 12, 0,
2, 1, 10, -2, 11, 0,
3, 1, 13, 2, 2, -2, 3, 0,
3, 1, 12, -1, 13, 2, 11, 0,
4, 2, 10, -1, 13, 5, 2, -5, 3, 0,
3, 1, 13, 2, 3, -3, 5, 0,
2, 2, 10, -3, 13, 0,
3, 1, 13, 2, 3, -2, 5, 0,
3, 1, 13, 3, 2, -3, 3, 0,
3, 1, 10, -1, 12, -2, 13, 0,
4, 2, 10, -1, 13, 6, 2, -6, 3, 0,
2, 2, 12, 1, 13, 1,
3, 2, 10, -1, 13, -2, 11, 0,
3, 1, 10, -1, 12, -2, 11, 0,
3, 2, 10, 1, 13, -4, 11, 0,
3, 1, 13, 4, 2, -4, 3, 0,
4, 2, 10, -1, 13, 7, 2, -7, 3, 0,
3, 2, 10, -1, 12, -3, 13, 1,
2, 3, 12, 1, 13, 0,
4, 2, 10, -1, 12, -1, 13, -2, 11, 0,
3, 1, 13, 5, 2, -5, 3, 0,
4, 2, 10, -1, 13, 8, 2, -8, 3, 0,
3, 2, 10, -2, 12, -3, 13, 0,
4, 2, 10, -1, 13, 9, 2, -9, 3, 0,
3, 4, 10, -3, 12, -2, 13, 0,
2, 2, 10, -4, 12, 0,
3, 4, 10, -2, 12, -2, 13, 1,
2, 6, 10, -4, 13, 0,
3, 4, 10, -1, 12, -2, 11, 0,
2, 2, 10, -3, 12, 1,
3, 3, 10, -2, 12, -1, 13, 0,
3, -2, 10, 3, 3, -2, 5, 0,
3, 4, 10, -1, 12, -2, 13, 1,
3, -2, 10, 3, 3, -3, 5, 0,
2, 5, 10, -3, 13, 0,
3, -2, 10, 4, 2, -4, 3, 0,
3, -2, 10, 2, 2, -1, 3, 0,
2, 4, 10, -2, 11, 0,
2, 2, 10, -2, 12, 2,
3, -2, 10, 3, 3, -2, 4, 0,
3, -2, 10, 2, 3, -1, 5, 0,
3, 3, 10, -1, 12, -1, 13, 1,
3, -2, 10, 3, 2, -3, 3, 0,
3, -2, 10, 2, 3, -2, 5, 0,
2, 4, 10, -2, 13, 0,
3, -2, 10, 2, 3, -3, 5, 0,
2, -2, 10, 1, 2, 0,
4, 2, 10, -1, 12, 2, 13, -2, 11, 0,
3, -2, 10, 2, 2, -2, 3, 0,
3, 3, 10, 1, 13, -2, 11, 0,
3, 4, 10, 1, 12, -2, 11, 0,
4, 2, 10, -1, 12, -1, 11, 1, 14, 0,
4, -2, 10, -1, 13, 18, 2,-15, 3, 0,
4, 2, 10, 3, 3, -8, 4, 3, 5, 0,
2, 2, 10, -1, 12, 2,
4, -2, 10, 5, 3, -8, 4, 3, 5, 0,
4, 2, 10, -1, 13, 18, 2,-17, 3, 0,
3, -2, 10, 1, 3, -1, 6, 0,
3, -2, 10, 2, 3, -2, 4, 0,
3, -2, 10, 1, 3, -1, 5, 0,
2, 3, 10, -1, 13, 0,
3, -2, 10, 3, 2, -4, 3, 0,
3, -2, 10, 3, 3, -4, 4, 0,
3, -2, 10, 1, 3, -2, 5, 0,
3, 4, 10, 1, 12, -2, 13, 1,
4, 2, 10, -1, 12, -2, 13, 2, 11, 0,
3, -2, 10, 1, 2, -1, 3, 0,
3, -2, 10, 2, 3, -3, 4, 0,
3, 2, 10, 2, 13, -2, 11, 0,
3, -2, 10, 2, 2, -3, 3, 0,
2, 2, 12, -2, 13, 1,
3, 2, 10, 2, 3, -4, 4, 0,
3, 2, 10, 3, 2, -5, 3, 0,
3, 1, 10, -1, 12, 1, 13, 1,
3, -2, 13, 3, 2, -3, 3, 0,
2, -2, 10, 1, 5, 0,
3, 2, 10, 1, 3, -2, 4, 0,
3, -2, 13, 2, 3, -2, 5, 0,
3, 2, 10, -1, 11, 1, 14, 0,
4, 4, 10, -2, 13, 2, 3, -3, 5, 0,
3, -2, 10, 8, 2,-13, 3, 0,
4, -2, 10, -1, 13, 18, 2,-16, 3, 1,
4, -2, 10, 3, 2, -7, 3, 4, 4, 0,
4, 2, 10, 4, 3, -8, 4, 3, 5, 1,
1, 2, 10, 3,
4, -2, 10, 4, 3, -8, 4, 3, 5, 1,
4, 2, 10, 3, 2, -7, 3, 4, 4, 0,
4, 2, 10, -1, 13, 18, 2,-16, 3, 1,
3, 2, 10, 8, 2,-13, 3, 0,
3, -2, 10, -1, 11, 1, 14, 0,
4, 4, 10, -2, 13, 2, 3, -2, 5, 0,
3, -2, 10, 1, 3, -2, 4, 0,
2, 2, 10, 1, 5, 0,
4, 4, 10, -2, 13, 3, 2, -3, 3, 0,
3, 3, 10, 1, 12, -1, 13, 1,
3, -2, 10, 3, 2, -5, 3, 0,
3, -2, 10, 2, 3, -4, 4, 0,
3, 4, 10, 2, 12, -2, 13, 0,
3, 2, 10, 2, 2, -3, 3, 0,
3, 2, 10, -2, 13, 2, 11, 0,
3, 2, 10, 1, 2, -1, 3, 0,
4, 2, 10, 1, 12, 2, 13, -2, 11, 0,
2, 1, 12, -2, 13, 2,
3, 2, 10, 1, 3, -2, 5, 0,
3, -2, 13, 1, 3, -1, 5, 0,
3, 2, 10, 3, 2, -4, 3, 0,
2, 1, 10, 1, 13, 0,
3, 2, 10, 1, 3, -1, 5, 0,
3, 2, 10, 2, 3, -2, 4, 0,
2, 2, 10, 1, 12, 2,
2, 1, 12, -2, 11, 0,
3, -2, 13, 1, 2, -1, 3, 0,
3, 1, 10, -1, 13, 2, 11, 0,
3, 2, 10, 2, 2, -2, 3, 0,
3, 1, 10, 1, 12, -3, 13, 0,
3, 2, 13, -1, 11, 1, 14, 0,
3, 2, 10, 2, 3, -3, 5, 0,
3, 2, 10, 6, 2, -8, 3, 0,
3, -3, 13, 18, 2,-16, 3, 1,
3, 2, 13, 2, 5, -5, 6, 0,
4, 2, 13, 4, 3, -8, 4, 3, 5, 0,
1, 2, 13, 0,
4, -2, 13, 4, 3, -8, 4, 3, 5, 0,
3, -2, 13, 2, 5, -5, 6, 0,
3, 1, 13, 18, 2,-16, 3, 1,
3, -2, 13, -1, 11, 1, 14, 0,
3, 2, 10, 2, 3, -2, 5, 0,
3, 2, 10, 3, 2, -3, 3, 0,
3, 1, 10, 1, 12, 1, 13, 1,
2, 2, 10, 2, 12, 1,
2, 1, 11, 1, 14, 1,
4, -1, 13, -2, 11, 18, 2,-16, 3, 0,
1, 2, 11, 0,
4, -1, 13, 2, 11, 18, 2,-16, 3, 0,
2, -3, 11, 1, 14, 0,
3, 2, 13, 1, 2, -1, 3, 0,
3, 2, 10, 4, 2, -4, 3, 0,
3, 2, 10, 1, 12, -4, 13, 0,
2, 1, 10, -3, 13, 0,
3, 2, 13, 1, 3, -1, 5, 0,
2, 1, 12, 2, 13, 2,
3, 1, 10, 2, 12, 1, 13, 0,
3, 1, 10, -1, 13, -2, 11, 0,
2, 1, 12, 2, 11, 1,
3, 2, 10, 5, 2, -5, 3, 0,
2, 2, 10, -4, 13, 0,
3, 2, 10, 6, 2, -6, 3, 0,
2, 2, 12, 2, 13, 0,
3, 2, 10, -2, 13, -2, 11, 0,
2, 2, 12, 2, 11, 0,
2, 2, 10, -4, 11, 0,
3, 2, 10, 7, 2, -7, 3, 0,
3, 2, 10, -1, 12, -4, 13, 0,
4, 2, 10, -1, 12, -2, 13, -2, 11, 0,
3, 2, 10, 8, 2, -8, 3, 0,
3, 2, 10, 9, 2, -9, 3, 0,
3, 4, 10, -3, 12, -1, 13, 0,
3, 6, 10, -1, 12, -3, 13, 0,
3, 4, 10, -2, 12, -1, 13, 1,
3, 5, 10, -1, 12, -2, 13, 0,
2, 6, 10, -3, 13, 0,
4, 4, 10, -1, 12, 1, 13, -2, 11, 0,
3, 2, 10, -3, 12, 1, 13, 0,
2, 3, 10, -2, 12, 0,
3, 4, 10, -1, 12, -1, 13, 1,
2, 5, 10, -2, 13, 0,
3, 6, 10, 1, 12, -3, 13, 0,
3, 4, 10, 1, 13, -2, 11, 0,
3, 2, 10, -2, 12, 1, 13, 1,
2, 3, 10, -1, 12, 0,
4, -2, 10, -1, 13, 2, 3, -2, 5, 0,
2, 4, 10, -1, 13, 0,
4, 2, 10, -2, 12, -1, 13, 2, 11, 0,
3, 4, 10, -3, 13, 2, 11, 0,
4, -2, 10, -1, 13, 2, 2, -2, 3, 0,
3, 2, 10, -1, 12, 1, 13, 2,
4, -2, 10, -1, 13, 1, 3, -1, 5, 0,
1, 3, 10, 0,
3, 4, 10, 1, 12, -1, 13, 1,
4, 2, 10, -1, 12, -1, 13, 2, 11, 1,
4, -2, 10, -1, 13, 1, 2, -1, 3, 0,
3, 2, 10, 3, 13, -2, 11, 0,
2, 2, 12, -3, 13, 0,
3, 1, 10, -1, 12, 2, 13, 0,
4, 2, 10, 1, 13, -1, 11, 1, 14, 0,
4, -2, 10, -2, 13, 18, 2,-16, 3, 0,
5, 2, 10, 1, 13, 4, 3, -8, 4, 3, 5, 0,
2, 2, 10, 1, 13, 1,
5, -2, 10, -1, 13, 4, 3, -8, 4, 3, 5, 0,
3, 2, 10, 18, 2,-16, 3, 0,
4, -2, 10, -1, 13, -1, 11, 1, 14, 0,
4, 4, 10, -1, 13, 2, 3, -2, 5, 0,
4, 4, 10, -1, 13, 3, 2, -3, 3, 0,
2, 3, 10, 1, 12, 1,
3, 4, 10, 2, 12, -1, 13, 0,
4, 2, 10, -1, 13, 1, 11, 1, 14, 0,
3, 2, 10, -1, 13, 2, 11, 0,
2, 1, 12, -3, 13, 1,
2, 1, 10, 2, 13, 0,
3, 2, 10, 1, 12, 1, 13, 1,
3, 1, 12, -1, 13, -2, 11, 1,
2, 1, 10, 2, 11, 0,
4, 2, 10, 1, 12, -1, 13, 2, 11, 0,
1, 3, 13, 0,
4, 2, 10, 1, 13, 2, 3, -2, 5, 0,
3, 1, 10, 1, 12, 2, 13, 0,
3, 2, 10, 2, 12, 1, 13, 0,
3, 1, 13, 1, 11, 1, 14, 0,
2, 1, 13, 2, 11, 0,
3, 1, 10, 1, 12, 2, 11, 0,
4, 2, 10, 2, 12, -1, 13, 2, 11, 0,
2, 1, 13, -4, 11, 0,
2, 1, 10, -4, 13, 0,
2, 1, 12, 3, 13, 1,
3, 1, 12, 1, 13, 2, 11, 1,
2, 2, 10, -5, 13, 0,
3, 2, 10, -3, 13, -2, 11, 0,
3, 2, 10, -1, 13, -4, 11, 0,
3, 6, 10, -2, 12, -2, 13, 0,
2, 4, 10, -3, 12, 0,
3, 6, 10, -1, 12, -2, 13, 0,
2, 4, 10, -2, 12, 1,
2, 6, 10, -2, 13, 0,
2, 4, 10, -1, 12, 1,
2, 5, 10, -1, 13, 0,
3, 6, 10, 1, 12, -2, 13, 0,
4, 4, 10, -1, 12, -2, 13, 2, 11, 0,
3, 4, 10, 2, 13, -2, 11, 0,
3, 2, 10, -2, 12, 2, 13, 0,
1, 4, 10, 0,
3, 2, 10, -2, 12, 2, 11, 0,
3, 4, 10, -2, 13, 2, 11, 0,
3, 2, 10, -1, 12, 2, 13, 1,
2, 3, 10, 1, 13, 0,
2, 4, 10, 1, 12, 1,
3, 2, 10, -1, 12, 2, 11, 1,
3, 3, 10, -1, 13, 2, 11, 0,
2, 2, 10, 2, 13, 0,
3, 3, 10, 1, 12, 1, 13, 0,
3, 2, 10, 1, 11, 1, 14, 0,
2, 2, 10, 2, 11, 0,
2, 1, 12, -4, 13, 0,
2, 1, 10, 3, 13, 0,
3, 2, 10, 1, 12, 2, 13, 1,
3, 1, 12, -2, 13, -2, 11, 0,
3, 1, 10, 1, 13, 2, 11, 0,
3, 2, 10, 1, 12, 2, 11, 0,
1, 4, 13, 0,
3, 1, 10, 1, 12, 3, 13, 0,
2, 2, 13, 2, 11, 0,
4, 1, 10, 1, 12, 1, 13, 2, 11, 0,
1, 4, 11, 0,
2, 1, 12, 4, 13, 0,
3, 1, 12, 2, 13, 2, 11, 0,
3, 2, 10, -4, 13, -2, 11, 0,
3, 6, 10, -2, 12, -1, 13, 0,
2, 8, 10, -3, 13, 0,
3, 6, 10, -1, 12, -1, 13, 0,
3, 4, 10, -2, 12, 1, 13, 0,
2, 6, 10, -1, 13, 0,
3, 4, 10, -1, 12, 1, 13, 1,
3, 6, 10, 1, 12, -1, 13, 0,
4, 4, 10, -1, 12, -1, 13, 2, 11, 0,
3, 2, 10, -2, 12, 3, 13, 0,
2, 4, 10, 1, 13, 0,
3, 4, 10, -1, 13, 2, 11, 0,
3, 2, 10, -1, 12, 3, 13, 0,
3, 4, 10, 1, 12, 1, 13, 0,
4, 2, 10, -1, 12, 1, 13, 2, 11, 0,
2, 2, 10, 3, 13, 0,
3, 2, 10, 1, 13, 2, 11, 0,
3, 2, 10, -1, 13, 4, 11, 0,
3, 2, 10, 1, 12, 3, 13, 0,
3, 1, 12, -3, 13, -2, 11, 0,
3, 1, 10, 2, 13, 2, 11, 0,
4, 2, 10, 1, 12, 1, 13, 2, 11, 0,
1, 5, 13, 0,
2, 3, 13, 2, 11, 0,
2, 1, 13, 4, 11, 0,
3, 1, 12, 3, 13, 2, 11, 0,
2, 8, 10, -2, 13, 0,
2, 6, 10, -1, 12, 0,
1, 6, 10, 0,
3, 6, 10, -2, 13, 2, 11, 0,
3, 4, 10, -1, 12, 2, 13, 0,
3, 4, 10, -1, 12, 2, 11, 0,
2, 4, 10, 2, 13, 0,
2, 4, 10, 2, 11, 0,
3, 2, 10, -1, 12, 4, 13, 0,
3, 4, 10, 1, 12, 2, 13, 0,
4, 2, 10, -1, 12, 2, 13, 2, 11, 0,
2, 2, 10, 4, 13, 0,
3, 2, 10, 2, 13, 2, 11, 0,
2, 2, 10, 4, 11, 0,
1, 6, 13, 0,
2, 4, 13, 2, 11, 0,
2, 2, 13, 4, 11, 0,
3, 6, 10, -1, 12, 1, 13, 0,
2, 6, 10, 1, 13, 0,
2, 4, 10, 3, 13, 0,
3, 4, 10, 1, 13, 2, 11, 0,
2, 2, 10, 5, 13, 0,
3, 2, 10, 3, 13, 2, 11, 0,
-1
};
static long btabr[] = {-1};
static long btabb[] = {-1};
static long btabl[] = {
-3, -4,
4, -1856, 0, 8043,
-9, -1082,
-1, -310,
-1, -522,
-330, -1449, -853, 4656,
-66, 7,
-1, 9996928,
-66, 6,
23, 183,
0, 173,
0, -56,
0, 50,
0, -785,
1, 51,
0, -60,
1, 11843, 0, -50754,
0, 1834, 1, -7910,
0, -48060,
1, 56,
0, 13141, -1, -56318,
0, 2541,
-1, -649,
-133, 778,
-46, 8,
1, 1665737,
-47, 7,
0, 65,
0, 45,
0, -138,
0, -1005,
0, -2911,
0, -47,
0, 96,
0, -394,
2, 76,
2, -17302, 0, 74337,
0, -101,
0, 58,
0, -171,
0, -77,
0, -1283, 0, 2686,
0, -55,
0, 99,
0, 55,
0, 397,
0, 540,
0, 626,
-1, -5188, 0, 10857,
0, -216,
-2, -123,
0, 6337,
2, 224,
-152, -23472, -29, -74336, 0, 295775,
-20, 149,
-2, 84,
9, 304,
0, -3051,
-70, -6,
-57, 34,
0, -638,
0, -201,
-73, 9,
0, -100,
-101, -8,
0, -57,
0, -207,
-3, 80,
-45, 45,
-5, 102,
-59, -23,
52, 201,
-48, 233, -220, 71,
4, 2810, 0, 6236541,
-61, 218, -216, 67,
51, 201,
-59, -23,
-144, -837, -457, 3029,
-45, 42,
-15, 73,
-6, -169,
0, 135,
-64, -7,
0, -16245,
0, -81,
-74, -10,
0, 702, 0, -3013,
0, -5889,
1, 141,
58, 9598, 12, 30443, 1, -120946,
-1, -84,
-2, 11246, -1, -48391,
0, 1393,
0, 200,
-136, -17,
0, 558,
-64, -8,
0, -71,
0, 317577,
-28, 183,
1, 219,
0, 421,
0, -133,
501, -139,
3, 354,
-101, -13,
74, 7,
144, -84,
59, -2,
1, 64,
-2931, 12559, -4641, 2638, -303, -2058,
-13, -100, -123, -79,
-19214, 6084, 1494, 26993, 15213, -82219,
42, 52, 48, -101,
-53, -4,
4, 47,
58, -131,
46, 14,
-21, -6,
-1311, -8791, 10198, -4185, 2815, 5640,
167, 422, -229, 83,
3140, 39, 1221, 120, 96, -30,
-1, 184612405,
187, 416, -226, 81,
-1985, -10083, 9983, -4464, 2807, 5643,
-21, -9,
113, -367,
120, 580, -667, 27,
8, 66,
-56, -6,
337, 95,
-87, 3303,
-1, 65,
68, -374,
0, -574,
15, -94,
0, -53,
0, -1303,
0, -236,
283, 36,
-1, -54,
269, -35,
0, -83,
0, -52,
0, 730, 0, -3129,
0, 813,
0, -4299,
1, 59,
-6, 5130, 1, 16239, -1, -64603,
0, -80,
91, 12,
0, -561,
133, -17,
0, 250,
-12, 71,
0, 155664,
82, -11,
0, 106,
0, -604,
0, 21862,
55, -7,
0, -1514, 0, 6501,
0, 906,
0, -68,
0, 241,
0, 366,
0, 70,
0, -1382, 0, 5957,
0, 113,
0, -51,
0, -55,
0, 731,
0, -264,
0, 65788,
1, -1504, 0, 3147,
0, 217,
0, -4105, 0, 17658,
1, 69,
0, -3518,
0, -1767,
-43, -7044, -10, -22304, 0, 88685,
3, 91,
0, -485,
0, -57,
-1, 333548,
-24, 172,
11, 544, 1, -1132,
0, 353,
0, -188,
0, 53,
0, 77,
158, -887,
35, 131,
-54, 13,
0, 1994821,
-53, 14,
36, 125,
2, 56,
0, -243,
0, -364,
-2, 1916, 0, -8227,
0, 15700, -1, -67308,
1, 66,
0, -53686,
1, 3058, 1, -13177,
0, -72,
0, -72,
0, 61,
0, 15812,
0, 165,
8, -96,
318, 1341, 803, -4252,
24, 193,
1137, -226, 310, 622,
-56, 30,
-3, 10101666,
-56, 30,
1096, -225, 300, 600,
-31, 409,
-1, -507,
0, -287,
0, -1869, 0, 8026,
1, 544, -1, -1133,
0, 27984,
0, -62,
0, -249,
0, 187,
0, -1096,
1, 53,
2, 12388, 0, -53107,
0, -322,
0, -94,
0, 15157,
0, -582,
0, 3291,
0, 565,
0, 106,
0, 112,
0, 306,
0, 809,
0, 130,
0, -961, 0, 4149,
0, 174,
0, -105,
0, 2196,
0, 59,
0, 36737,
-1, -1832, 0, 3835,
0, -139,
0, 24138,
0, 1325,
1, 64,
0, -361,
0, -1162,
-44, -6320, -10, -20003, 0, 79588,
2, 80,
0, -2059,
0, -304,
0, 21460,
0, -166,
0, -87,
89, -493,
32, 114,
34, 510, 1, 1172616,
31, 113,
-1, 57,
0, 214,
0, -656,
0, -646,
0, 1850, 0, -7931,
0, -6674,
0, 2944, 0, -12641,
0, 916,
45, -255,
16, 60,
-1, 619116,
16, 57,
0, -58,
0, 1045,
0, -156,
-15, 88,
0, -62964,
0, -126,
0, 1490, 0, -6387,
0, 119,
0, 1338,
0, -56,
0, 204,
0, 153,
0, 940,
0, 251,
0, 312,
0, 584,
0, -786, 0, 3388,
0, -52,
0, 4733,
0, 618,
0, 29982,
0, 101,
0, -174,
0, -2637, 0, 11345,
0, -284,
0, -524,
0, -121,
0, 1464,
11, -60,
-1, 151205,
0, 139,
0, -2448,
0, -51,
0, -768,
0, -638,
0, 552, 0, -2370,
0, 70,
0, 64,
0, 57,
0, 39840,
0, 104,
0, -10194,
0, -635,
0, 69,
0, 113,
0, 67,
0, 96,
0, 367,
0, 134,
0, 596,
0, 63,
0, 1622,
0, 483,
0, 72,
0, 11917,
0, -63,
0, 1273,
0, -66,
0, -262,
0, -97,
0, 103,
0, 15196,
0, -1445,
0, -66,
0, -55,
0, -323,
0, 2632,
0, -1179,
0, 59,
0, -56,
0, 78,
0, 65,
0, 422,
0, 309,
0, 2125,
0, -66,
0, 124,
0, -57,
0, 1379,
0, -304,
0, 177,
0, -118,
0, 146,
0, 283,
0, 119,
};
static CHAR bargs[] = {
0, 1,
3, 1, 10, 1, 12, -1, 11, 1,
4, 2, 10, 2, 12, -1, 13, -1, 11, 0,
5, 2, 10, -1, 13, -1, 11, 3, 2, -3, 3, 0,
5, 2, 10, -1, 13, -1, 11, 2, 3, -2, 5, 0,
2, -1, 13, 1, 14, 1,
5, -1, 13, 1, 11, 4, 3, -8, 4, 3, 5, 0,
2, 1, 13, -1, 11, 0,
5, 1, 13, -1, 11, 4, 3, -8, 4, 3, 5, 0,
5, 2, 10, -1, 13, -1, 11, 2, 3, -3, 5, 0,
4, 1, 10, 1, 12, -2, 13, 1, 11, 0,
4, 1, 13, -1, 11, 1, 2, -1, 3, 0,
5, 2, 10, -1, 13, -1, 11, 2, 2, -2, 3, 0,
3, 1, 10, -2, 13, 1, 11, 0,
4, 1, 13, -1, 11, 1, 3, -1, 5, 0,
4, -1, 13, 1, 11, 1, 2, -1, 3, 0,
3, 1, 12, 1, 13, -1, 11, 1,
4, 2, 10, 1, 12, -1, 13, -1, 11, 1,
2, 1, 10, -1, 11, 0,
4, -1, 13, 1, 11, 1, 3, -1, 5, 0,
3, 1, 12, -1, 13, 1, 11, 1,
3, 2, 10, -3, 13, 1, 11, 0,
3, 2, 12, 1, 13, -1, 11, 0,
3, -2, 10, 1, 13, 1, 14, 0,
6, -2, 10, 1, 13, 1, 11, 4, 3, -8, 4, 3, 5, 0,
3, 2, 10, -1, 13, -1, 11, 0,
6, 2, 10, -1, 13, -1, 11, 4, 3, -8, 4, 3, 5, 0,
4, -1, 13, 1, 11, 2, 3, -2, 5, 0,
4, -1, 13, 1, 11, 3, 2, -3, 3, 0,
3, 1, 10, -1, 12, -1, 11, 0,
3, 2, 12, -1, 13, 1, 11, 0,
3, 2, 10, 1, 13, -3, 11, 0,
5, -2, 10, 1, 13, 1, 11, 1, 2, -1, 3, 0,
4, 2, 10, -1, 12, -3, 13, 1, 11, 0,
3, 3, 10, -2, 13, -1, 11, 0,
5, -2, 10, 1, 13, 1, 11, 1, 3, -1, 5, 0,
4, 2, 10, -1, 12, -1, 13, -1, 11, 1,
2, 3, 10, -3, 11, 0,
5, -2, 10, 1, 13, 1, 11, 2, 2, -2, 3, 0,
4, 2, 10, -1, 12, 1, 13, -3, 11, 0,
3, 4, 10, -3, 13, -1, 11, 0,
4, 2, 10, -2, 12, -1, 13, -1, 11, 1,
3, 4, 10, -1, 13, -3, 11, 0,
4, 2, 10, -3, 12, -1, 13, -1, 11, 0,
3, 4, 10, -1, 12, -3, 11, 0,
3, 2, 10, -3, 12, -1, 11, 0,
4, 4, 10, -1, 12, -2, 13, -1, 11, 0,
2, 4, 10, -3, 11, 0,
3, 2, 10, -2, 12, -1, 11, 1,
4, 3, 10, -1, 12, -1, 13, -1, 11, 0,
4, -2, 10, 1, 11, 2, 3, -2, 5, 0,
3, 4, 10, -2, 13, -1, 11, 0,
4, -2, 10, 1, 11, 2, 2, -2, 3, 0,
3, 2, 10, -1, 12, -1, 11, 2,
3, -2, 10, 1, 12, 1, 14, 0,
4, -2, 10, 1, 11, 2, 3, -2, 4, 0,
4, -2, 10, 1, 11, 1, 3, -1, 5, 0,
3, 3, 10, -1, 13, -1, 11, 0,
4, -2, 10, 1, 11, 3, 2, -4, 3, 0,
4, -2, 10, 1, 11, 1, 3, -2, 5, 0,
4, 2, 10, -1, 12, -2, 13, 1, 11, 0,
4, -2, 10, 1, 11, 1, 2, -1, 3, 0,
2, -1, 10, 1, 2, 0,
3, 2, 10, 2, 13, -3, 11, 0,
4, -2, 10, 1, 11, 2, 2, -3, 3, 0,
3, 2, 12, -2, 13, 1, 11, 0,
4, 1, 10, -1, 12, 1, 13, -1, 11, 0,
3, -2, 10, 1, 11, 1, 5, 0,
4, 2, 10, -1, 11, 1, 3, -2, 4, 0,
3, 2, 10, -2, 11, 1, 14, 0,
4, -2, 10, 1, 11, 8, 2,-13, 3, 0,
5, -2, 10, -1, 13, 1, 11, 18, 2,-16, 3, 0,
5, 2, 10, -1, 11, 4, 3, -8, 4, 3, 5, 1,
2, 2, 10, -1, 11, 1,
5, -2, 10, 1, 11, 4, 3, -8, 4, 3, 5, 1,
5, 2, 10, -1, 13, -1, 11, 18, 2,-16, 3, 0,
4, 2, 10, -1, 11, 8, 2,-13, 3, 0,
2, -2, 10, 1, 14, 1,
4, -2, 10, 1, 11, 1, 3, -2, 4, 0,
3, 2, 10, -1, 11, 1, 5, 0,
2, 2, 12, -1, 11, 0,
4, 3, 10, 1, 12, -1, 13, -1, 11, 0,
4, 2, 10, -1, 11, 2, 2, -3, 3, 0,
3, 2, 10, -2, 13, 1, 11, 0,
4, 2, 10, -1, 11, 1, 2, -1, 3, 0,
3, 1, 10, 1, 2, -2, 3, 0,
3, 1, 12, -2, 13, 1, 11, 1,
3, 1, 10, 1, 13, -1, 11, 0,
4, 2, 10, -1, 11, 1, 3, -1, 5, 0,
3, 2, 10, 1, 12, -1, 11, 2,
3, -2, 10, -1, 12, 1, 14, 0,
2, 1, 12, -1, 11, 1,
3, 1, 10, -1, 13, 1, 11, 0,
4, 2, 10, -1, 11, 2, 2, -2, 3, 0,
3, 1, 10, 2, 2, -3, 3, 0,
4, 2, 10, 1, 12, -2, 13, 1, 11, 0,
3, -1, 10, 1, 2, -2, 3, 0,
3, -1, 11, 1, 2, -1, 3, 0,
2, 2, 13, -1, 11, 0,
2, -2, 13, 1, 14, 0,
4, 2, 10, -1, 11, 2, 3, -2, 5, 0,
4, 2, 10, -1, 11, 3, 2, -3, 3, 0,
4, 2, 10, 2, 12, -2, 13, -1, 11, 0,
3, 1, 10, 1, 3, -2, 5, 0,
4, 1, 10, 1, 12, 1, 13, -1, 11, 0,
3, 1, 10, 3, 2, -4, 3, 0,
3, 1, 10, 1, 3, -1, 5, 0,
3, 1, 10, 1, 3, -2, 6, 0,
3, 1, 10, 2, 3, -2, 4, 0,
4, 1, 10, 1, 12, -1, 13, -1, 11, 0,
3, 2, 10, 2, 12, -1, 11, 2,
4, 1, 10, 1, 3, 2, 5, -5, 6, 1,
1, 1, 14, 2,
3, 1, 10, 8, 2,-12, 3, 1,
5, -2, 10, 1, 13, -1, 11, 20, 2,-21, 3, 0,
5, 2, 10, -2, 13, 1, 11, 2, 3, -3, 5, 0,
3, 1, 10, 1, 3, 1, 6, 0,
4, -1, 13, -1, 11, 26, 2,-29, 3, 0,
3, -1, 11, 8, 2,-13, 3, 0,
4, -1, 13, -1, 11, 18, 2,-16, 3, 2,
4, -1, 13, 1, 11, 10, 2, -3, 3, 1,
1, 1, 11, 3,
4, -1, 13, -1, 11, 10, 2, -3, 3, 1,
4, -1, 13, 1, 11, 18, 2,-16, 3, 2,
3, 1, 11, 8, 2,-13, 3, 0,
2, 1, 10, 2, 4, 0,
4, 2, 10, -1, 11, 5, 2, -6, 3, 1,
5, 2, 10, -2, 13, -1, 11, 2, 3, -3, 5, 0,
5, -2, 10, 1, 13, 1, 11, 20, 2,-21, 3, 0,
3, 1, 10, 1, 3, 1, 5, 0,
2, -2, 11, 1, 14, 0,
5, 2, 10, -2, 13, 1, 11, 2, 3, -2, 5, 0,
3, 1, 10, 5, 2, -7, 3, 0,
4, 1, 10, 1, 12, -1, 13, 1, 11, 0,
3, 1, 10, 2, 2, -2, 3, 0,
4, 2, 10, 2, 12, -2, 13, 1, 11, 0,
2, 2, 13, -3, 11, 0,
4, 2, 10, -1, 11, 4, 2, -4, 3, 0,
3, 1, 10, 4, 2, -5, 3, 0,
3, 1, 10, -3, 13, 1, 11, 0,
2, 1, 10, 1, 2, 0,
3, 1, 11, 1, 2, -1, 3, 0,
4, 2, 10, -1, 11, 3, 3, -3, 5, 0,
3, 1, 12, 2, 13, -1, 11, 1,
4, 2, 10, 1, 12, -2, 13, -1, 11, 0,
3, 1, 10, -1, 13, -1, 11, 0,
3, 1, 11, 1, 3, -1, 5, 0,
2, 1, 12, 1, 11, 2,
4, 2, 10, -1, 11, 5, 2, -5, 3, 0,
3, 1, 10, 5, 2, -6, 3, 0,
3, 2, 10, 1, 12, -3, 11, 0,
3, 1, 10, 2, 2, -1, 3, 0,
3, 2, 10, -4, 13, 1, 11, 0,
3, -2, 10, 2, 13, 1, 14, 0,
3, 2, 10, -2, 13, -1, 11, 0,
3, 1, 10, 3, 2, -2, 3, 0,
4, 1, 10, -1, 12, -1, 13, -1, 11, 0,
2, 2, 12, 1, 11, 0,
2, 2, 10, -3, 11, 0,
3, 1, 10, 4, 2, -3, 3, 0,
4, 2, 10, -1, 12, -2, 13, -1, 11, 1,
3, 2, 10, -1, 12, -3, 11, 0,
3, 4, 10, -4, 13, -1, 11, 0,
4, 2, 10, -2, 12, -2, 13, -1, 11, 0,
4, 4, 10, -2, 12, -1, 13, -1, 11, 0,
3, 6, 10, -3, 13, -1, 11, 0,
4, 4, 10, -1, 12, -1, 13, -1, 11, 1,
4, 2, 10, -3, 12, -1, 13, 1, 11, 0,
3, 5, 10, -2, 13, -1, 11, 0,
3, 4, 10, 1, 13, -3, 11, 0,
4, 2, 10, -2, 12, 1, 13, -1, 11, 0,
3, 3, 10, -1, 12, -1, 11, 0,
3, 4, 10, -1, 13, -1, 11, 0,
4, 2, 10, -2, 12, -1, 13, 1, 11, 1,
3, 4, 10, -3, 13, 1, 11, 0,
4, 2, 10, -1, 12, 1, 13, -1, 11, 1,
5, -2, 10, 1, 13, -1, 11, 2, 2, -2, 3, 0,
2, 3, 10, -1, 11, 0,
4, 4, 10, 1, 12, -1, 13, -1, 11, 0,
4, 2, 10, -1, 12, -1, 13, 1, 11, 2,
5, -2, 10, 1, 13, -1, 11, 1, 3, -1, 5, 0,
3, 3, 10, -2, 13, 1, 11, 0,
5, -2, 10, 1, 13, -1, 11, 1, 2, -1, 3, 0,
3, 2, 10, 1, 13, -1, 11, 0,
3, -2, 10, -1, 13, 1, 14, 0,
3, 2, 12, -1, 13, -1, 11, 1,
3, 3, 10, 1, 12, -1, 11, 0,
3, 1, 10, -1, 12, 1, 11, 0,
4, -1, 13, -1, 11, 3, 2, -3, 3, 0,
4, -1, 13, -1, 11, 2, 3, -2, 5, 0,
3, 2, 10, -1, 13, 1, 14, 0,
4, -2, 10, -1, 11, 18, 2,-16, 3, 0,
6, 2, 10, -1, 13, 1, 11, 4, 3, -8, 4, 3, 5, 0,
3, 2, 10, -1, 13, 1, 11, 0,
6, -2, 10, 1, 13, -1, 11, 4, 3, -8, 4, 3, 5, 0,
5, 2, 10, -2, 13, 1, 11, 18, 2,-16, 3, 0,
4, -2, 10, 1, 13, -2, 11, 1, 14, 0,
3, 1, 12, -3, 13, 1, 11, 0,
3, 1, 10, 2, 13, -1, 11, 0,
4, 2, 10, 1, 12, 1, 13, -1, 11, 1,
3, 1, 12, -1, 13, -1, 11, 1,
4, -1, 13, -1, 11, 1, 3, -1, 5, 0,
2, 1, 10, 1, 11, 0,
4, 2, 10, 1, 12, -1, 13, 1, 11, 1,
3, 1, 12, 1, 13, -3, 11, 0,
4, -1, 13, -1, 11, 1, 2, -1, 3, 0,
5, 2, 10, -1, 13, 1, 11, 2, 2, -2, 3, 0,
2, 3, 13, -1, 11, 0,
4, 1, 10, 1, 12, -2, 13, -1, 11, 0,
4, 2, 10, 2, 12, 1, 13, -1, 11, 0,
2, 1, 13, 1, 14, 1,
5, 2, 10, -1, 13, 1, 11, 2, 3, -3, 5, 0,
4, -2, 13, -1, 11, 18, 2,-16, 3, 1,
5, 1, 13, 1, 11, 4, 3, -8, 4, 3, 5, 0,
2, 1, 13, 1, 11, 0,
5, -1, 13, -1, 11, 4, 3, -8, 4, 3, 5, 0,
3, 1, 11, 18, 2,-16, 3, 1,
3, -1, 13, -2, 11, 1, 14, 0,
5, 2, 10, -1, 13, 1, 11, 2, 3, -2, 5, 0,
5, 2, 10, -1, 13, 1, 11, 3, 2, -3, 3, 0,
3, 1, 10, 1, 12, 1, 11, 1,
4, 2, 10, 2, 12, -1, 13, 1, 11, 1,
2, 1, 13, -3, 11, 0,
4, 1, 13, 1, 11, 1, 2, -1, 3, 0,
3, 1, 12, 3, 13, -1, 11, 0,
4, 2, 10, 1, 12, -3, 13, -1, 11, 0,
3, 1, 10, -2, 13, -1, 11, 0,
4, 1, 13, 1, 11, 1, 3, -1, 5, 0,
3, 1, 12, 1, 13, 1, 11, 1,
2, 1, 10, -3, 11, 0,
3, 1, 12, -1, 13, 3, 11, 0,
3, 2, 10, -3, 13, -1, 11, 0,
3, 2, 12, 1, 13, 1, 11, 0,
3, 2, 10, -1, 13, -3, 11, 0,
4, 2, 10, -1, 12, -3, 13, -1, 11, 0,
4, 2, 10, -1, 12, -1, 13, -3, 11, 0,
4, 6, 10, -1, 12, -2, 13, -1, 11, 0,
3, 4, 10, -2, 12, -1, 11, 0,
3, 6, 10, -2, 13, -1, 11, 0,
4, 4, 10, -2, 12, -2, 13, 1, 11, 0,
3, 4, 10, -1, 12, -1, 11, 1,
3, 2, 10, -3, 12, 1, 11, 0,
3, 5, 10, -1, 13, -1, 11, 0,
4, 4, 10, -1, 12, -2, 13, 1, 11, 0,
4, 2, 10, -2, 12, 2, 13, -1, 11, 0,
2, 4, 10, -1, 11, 0,
3, 2, 10, -2, 12, 1, 11, 1,
4, 3, 10, -1, 12, -1, 13, 1, 11, 0,
3, 4, 10, -2, 13, 1, 11, 0,
4, 2, 10, -1, 12, 2, 13, -1, 11, 0,
4, -2, 10, -1, 11, 2, 2, -2, 3, 0,
3, 3, 10, 1, 13, -1, 11, 0,
3, 4, 10, 1, 12, -1, 11, 0,
3, 2, 10, -1, 12, 1, 11, 2,
4, -2, 10, -1, 11, 1, 3, -1, 5, 0,
3, 3, 10, -1, 13, 1, 11, 0,
4, 4, 10, 1, 12, -2, 13, 1, 11, 0,
3, 2, 10, 2, 13, -1, 11, 0,
3, 2, 12, -2, 13, -1, 11, 0,
4, 1, 10, -1, 12, 1, 13, 1, 11, 0,
2, 2, 10, 1, 14, 0,
5, -2, 10, -1, 13, -1, 11, 18, 2,-16, 3, 0,
2, 2, 10, 1, 11, 1,
5, 2, 10, -1, 13, 1, 11, 18, 2,-16, 3, 0,
3, -2, 10, -2, 11, 1, 14, 0,
4, 3, 10, 1, 12, -1, 13, 1, 11, 0,
3, 2, 10, -2, 13, 3, 11, 0,
4, 2, 10, 1, 12, 2, 13, -1, 11, 0,
3, 1, 12, -2, 13, -1, 11, 1,
3, 1, 10, 1, 13, 1, 11, 0,
3, 2, 10, 1, 12, 1, 11, 1,
2, 4, 13, -1, 11, 0,
2, 2, 13, 1, 14, 0,
4, -3, 13, -1, 11, 18, 2,-16, 3, 0,
2, 2, 13, 1, 11, 0,
4, 1, 13, 1, 11, 18, 2,-16, 3, 0,
4, 2, 10, 1, 11, 2, 3, -2, 5, 0,
4, 1, 10, 1, 12, 1, 13, 1, 11, 0,
3, 2, 10, 2, 12, 1, 11, 0,
2, 2, 11, 1, 14, 0,
1, 3, 11, 0,
3, 1, 10, -3, 13, -1, 11, 0,
3, 1, 12, 2, 13, 1, 11, 1,
2, 1, 12, 3, 11, 0,
3, 2, 10, -4, 13, -1, 11, 0,
3, 2, 12, 2, 13, 1, 11, 0,
3, 2, 10, -2, 13, -3, 11, 0,
4, 6, 10, -1, 12, -1, 13, -1, 11, 0,
3, 6, 10, -1, 13, -1, 11, 0,
4, 4, 10, -2, 12, -1, 13, 1, 11, 0,
3, 6, 10, -3, 13, 1, 11, 0,
4, 4, 10, -1, 12, 1, 13, -1, 11, 0,
4, 4, 10, -1, 12, -1, 13, 1, 11, 1,
3, 5, 10, -2, 13, 1, 11, 0,
3, 4, 10, 1, 13, -1, 11, 0,
4, 2, 10, -2, 12, 1, 13, 1, 11, 0,
3, 4, 10, -1, 13, 1, 11, 0,
4, 2, 10, -1, 12, 3, 13, -1, 11, 0,
4, 4, 10, 1, 12, 1, 13, -1, 11, 0,
4, 2, 10, -1, 12, 1, 13, 1, 11, 1,
2, 3, 10, 1, 11, 0,
4, 4, 10, 1, 12, -1, 13, 1, 11, 0,
4, 2, 10, -1, 12, -1, 13, 3, 11, 0,
3, 2, 10, 3, 13, -1, 11, 0,
3, 2, 10, 1, 13, 1, 14, 0,
3, 2, 10, 1, 13, 1, 11, 0,
3, 3, 10, 1, 12, 1, 11, 0,
3, 2, 10, -1, 13, 3, 11, 0,
4, 2, 10, 1, 12, 3, 13, -1, 11, 0,
3, 1, 12, -3, 13, -1, 11, 0,
3, 1, 10, 2, 13, 1, 11, 0,
4, 2, 10, 1, 12, 1, 13, 1, 11, 1,
3, 1, 12, -1, 13, -3, 11, 0,
2, 1, 10, 3, 11, 0,
2, 5, 13, -1, 11, 0,
2, 3, 13, 1, 11, 0,
4, 1, 10, 1, 12, 2, 13, 1, 11, 0,
2, 1, 13, 3, 11, 0,
3, 1, 12, 3, 13, 1, 11, 0,
3, 1, 12, 1, 13, 3, 11, 0,
3, 2, 10, -5, 13, -1, 11, 0,
3, 6, 10, -1, 12, -1, 11, 0,
4, 6, 10, -1, 12, -2, 13, 1, 11, 0,
2, 6, 10, -1, 11, 0,
3, 4, 10, -2, 12, 1, 11, 0,
3, 6, 10, -2, 13, 1, 11, 0,
4, 4, 10, -1, 12, 2, 13, -1, 11, 0,
3, 4, 10, -1, 12, 1, 11, 0,
3, 4, 10, 2, 13, -1, 11, 0,
4, 2, 10, -2, 12, 2, 13, 1, 11, 0,
2, 4, 10, 1, 11, 0,
3, 4, 10, -2, 13, 3, 11, 0,
4, 2, 10, -1, 12, 2, 13, 1, 11, 0,
3, 3, 10, 1, 13, 1, 11, 0,
3, 4, 10, 1, 12, 1, 11, 0,
3, 2, 10, -1, 12, 3, 11, 0,
3, 2, 10, 4, 13, -1, 11, 0,
3, 2, 10, 2, 13, 1, 11, 0,
2, 2, 10, 3, 11, 0,
3, 1, 12, -4, 13, -1, 11, 0,
3, 1, 10, 3, 13, 1, 11, 0,
4, 2, 10, 1, 12, 2, 13, 1, 11, 0,
2, 4, 13, 1, 11, 0,
2, 2, 13, 3, 11, 0,
1, 5, 11, 0,
3, 1, 12, 4, 13, 1, 11, 0,
4, 6, 10, -1, 12, -1, 13, 1, 11, 0,
3, 6, 10, 1, 13, -1, 11, 0,
3, 6, 10, -1, 13, 1, 11, 0,
4, 4, 10, -1, 12, 1, 13, 1, 11, 0,
3, 4, 10, 1, 13, 1, 11, 0,
3, 4, 10, -1, 13, 3, 11, 0,
4, 2, 10, -1, 12, 3, 13, 1, 11, 0,
4, 4, 10, 1, 12, 1, 13, 1, 11, 0,
3, 2, 10, 3, 13, 1, 11, 0,
3, 2, 10, 1, 13, 3, 11, 0,
2, 5, 13, 1, 11, 0,
2, 3, 13, 3, 11, 0,
2, 6, 10, 1, 11, 0,
3, 4, 10, 2, 13, 1, 11, 0,
3, 2, 10, 4, 13, 1, 11, 0,
-1
};
struct plantbl moonlr = {
{ 3, 26, 29, 23, 5, 10, 0, 0, 0, 8, 4, 4, 6, 2, 0, 0, 0, 0,},
3,
lrargs,
lrtabl,
lrtabb,
lrtabr,
2.5735686895300000e-03,
3.6525000000000000e+06,
1.0000000000000000e-04,
};
struct plantbl moonlat = {
{ 0, 26, 29, 8, 3, 5, 0, 0, 0, 6, 5, 3, 5, 1, 0, 0, 0, 0,},
3,
bargs,
btabl,
btabb,
btabr,
0.0000000000000000e+00,
3.6525000000000000e+06,
1.0000000000000000e-04,
};
/* Reduce arc seconds modulo 360 degrees
answer in arc seconds */
static double
mods3600(double x)
{
double y;
#if !defined(__STDC__)
double floor();
#endif
y = x - 1296000. * floor( x/1296000.);
return(y);
}
/* Time argument is Julian ephemeris date. */
static void
mean_elements (double JED)
{
double x, T, T2;
/* Time variables. T is in Julian centuries. */
T = (JED - MOSHIER_J2000) / 36525.0;
T2 = T*T;
/* Mean longitudes of planets (Simon et al, 1994)
.047" subtracted from constant term for offset to DE403 origin. */
/* Mercury */
x = mods3600( 538101628.6889819 * T + 908103.213 );
x += (6.39e-6 * T
- 0.0192789) * T2;
Args[0] = x;
/* Venus */
x = mods3600( 210664136.4335482 * T + 655127.236 );
x += (-6.27e-6 * T
+ 0.0059381) * T2;
Args[1] = x;
/* Earth */
x = mods3600( 129597742.283429 * T + 361679.198 );
x += (-5.23e-6 * T
- 2.04411e-2 ) * T2;
Ea_arcsec = x;
Args[2] = x;
/* Mars */
x = mods3600( 68905077.493988 * T + 1279558.751 );
x += (-1.043e-5 * T
+ 0.0094264) * T2;
Args[3] = x;
/* Jupiter */
x = mods3600( 10925660.377991 * T + 123665.420 );
x += ((((-3.4e-10 * T
+ 5.91e-8) * T
+ 4.667e-6) * T
+ 5.706e-5) * T
- 3.060378e-1)*T2;
Args[4] = x;
/* Saturn */
x = mods3600( 4399609.855372 * T + 180278.752 );
x += (((( 8.3e-10 * T
- 1.452e-7) * T
- 1.1484e-5) * T
- 1.6618e-4) * T
+ 7.561614E-1)*T2;
Args[5] = x;
/* Uranus */
x = mods3600( 1542481.193933 * T + 1130597.971 )
+ (0.00002156*T - 0.0175083)*T2;
Args[6] = x;
/* Neptune */
x = mods3600( 786550.320744 * T + 1095655.149 )
+ (-0.00000895*T + 0.0021103)*T2;
Args[7] = x;
/* Copied from cmoon.c, DE404 version. */
/* Mean elongation of moon = D */
x = mods3600( 1.6029616009939659e+09 * T + 1.0722612202445078e+06 );
x += (((((-3.207663637426e-013 * T
+ 2.555243317839e-011) * T
+ 2.560078201452e-009) * T
- 3.702060118571e-005) * T
+ 6.9492746836058421e-03) * T /* D, t^3 */
- 6.7352202374457519e+00) * T2; /* D, t^2 */
Args[9] = x;
/* Mean distance of moon from its ascending node = F */
x = mods3600( 1.7395272628437717e+09 * T + 3.3577951412884740e+05 );
x += ((((( 4.474984866301e-013 * T
+ 4.189032191814e-011) * T
- 2.790392351314e-009) * T
- 2.165750777942e-006) * T
- 7.5311878482337989e-04) * T /* F, t^3 */
- 1.3117809789650071e+01) * T2; /* F, t^2 */
NF_arcsec = x;
Args[10] = x;
/* Mean anomaly of sun = l' (J. Laskar) */
x = mods3600(1.2959658102304320e+08 * T + 1.2871027407441526e+06);
x += ((((((((
1.62e-20 * T
- 1.0390e-17 ) * T
- 3.83508e-15 ) * T
+ 4.237343e-13 ) * T
+ 8.8555011e-11 ) * T
- 4.77258489e-8 ) * T
- 1.1297037031e-5 ) * T
+ 8.7473717367324703e-05) * T
- 5.5281306421783094e-01) * T2;
Args[11] = x;
/* Mean anomaly of moon = l */
x = mods3600( 1.7179159228846793e+09 * T + 4.8586817465825332e+05 );
x += (((((-1.755312760154e-012) * T
+ 3.452144225877e-011 * T
- 2.506365935364e-008) * T
- 2.536291235258e-004) * T
+ 5.2099641302735818e-02) * T /* l, t^3 */
+ 3.1501359071894147e+01) * T2; /* l, t^2 */
Args[12] = x;
/* Mean longitude of moon, re mean ecliptic and equinox of date = L */
x = mods3600( 1.7325643720442266e+09 * T + 7.8593980921052420e+05);
x += ((((( 7.200592540556e-014 * T
+ 2.235210987108e-010) * T
- 1.024222633731e-008) * T
- 6.073960534117e-005) * T
+ 6.9017248528380490e-03) * T /* L, t^3 */
- 5.6550460027471399e+00) * T2; /* L, t^2 */
LP_equinox = x;
Args[13] = x;
/* Precession of the equinox */
x = ((((((((( -8.66e-20*T - 4.759e-17)*T
+ 2.424e-15)*T
+ 1.3095e-12)*T
+ 1.7451e-10)*T
- 1.8055e-8)*T
- 0.0000235316)*T
+ 0.000076)*T
+ 1.105414)*T
+ 5028.791959)*T;
/* Moon's longitude re fixed J2000 equinox. */
/*
Args[13] -= x;
*/
pA_precession = x;
/* OM = LP - NF; */
/* Free librations. */
/* LB 2.891725 years, psi amplitude 1.8" */
Args[14] = mods3600( 4.48175409e7 * T + 8.060457e5 );
/* 24.2 years */
Args[15] = mods3600( 5.36486787e6 * T - 391702.8 );
#if 0
/* 27.34907 days */
Args[16] = mods3600( 1.7308227257e9 * T - 4.443583e5 );
#endif
/* LA 74.7 years. */
Args[17] = mods3600( 1.73573e6 * T );
}
/* Prepare lookup table of sin and cos ( i*Lj )
* for required multiple angles
*/
static int
sscc (int k, double arg, int n)
{
double cu, su, cv, sv, s;
int i;
s = STR * arg;
su = sin (s);
cu = cos (s);
ss[k][0] = su; /* sin(L) */
cc[k][0] = cu; /* cos(L) */
sv = 2.0 * su * cu;
cv = cu * cu - su * su;
ss[k][1] = sv; /* sin(2L) */
cc[k][1] = cv;
for (i = 2; i < n; i++)
{
s = su * cv + cu * sv;
cv = cu * cv - su * sv;
sv = s;
ss[k][i] = sv; /* sin( i+1 L ) */
cc[k][i] = cv;
}
return (0);
}
/* Generic program to accumulate sum of trigonometric series
in two variables (e.g., longitude, radius)
of the same list of arguments. */
static int
g2plan (double J, struct plantbl *plan, double pobj[], int flag)
{
int i, j, k, m, k1, ip, np, nt;
/* On some systems such as Silicon Graphics, char is unsigned
by default. */
CHAR *p;
long *pl, *pr;
double su, cu, sv, cv;
double t, sl, sr;
mean_elements (J);
/* For librations, moon's longitude is sidereal. */
if (flag)
Args[13] -= pA_precession;
T = (J - MOSHIER_J2000) / plan->timescale;
/* Calculate sin( i*MM ), etc. for needed multiple angles. */
for (i = 0; i < NARGS; i++)
{
if ((j = plan->max_harmonic[i]) > 0)
{
sscc (i, Args[i], j);
}
}
/* Point to start of table of arguments. */
p = plan->arg_tbl;
/* Point to tabulated cosine and sine amplitudes. */
pl = plan->lon_tbl;
pr = plan->rad_tbl;
sl = 0.0;
sr = 0.0;
for (;;)
{
/* argument of sine and cosine */
/* Number of periodic arguments. */
np = *p++;
if (np < 0)
break;
if (np == 0)
{ /* It is a polynomial term. */
nt = *p++;
/* Longitude polynomial. */
cu = *pl++;
for (ip = 0; ip < nt; ip++)
{
cu = cu * T + *pl++;
}
/* sl += mods3600 (cu); */
sl += cu;
/* Radius polynomial. */
cu = *pr++;
for (ip = 0; ip < nt; ip++)
{
cu = cu * T + *pr++;
}
sr += cu;
continue;
}
k1 = 0;
cv = 0.0;
sv = 0.0;
for (ip = 0; ip < np; ip++)
{
/* What harmonic. */
j = *p++;
/* Which planet. */
m = *p++ - 1;
if (j)
{
k = abs (j);
k -= 1;
su = ss[m][k]; /* sin(k*angle) */
if (j < 0)
su = -su;
cu = cc[m][k];
if (k1 == 0)
{ /* set first angle */
sv = su;
cv = cu;
k1 = 1;
}
else
{ /* combine angles */
t = su * cv + cu * sv;
cv = cu * cv - su * sv;
sv = t;
}
}
}
/* Highest power of T. */
nt = *p++;
/* Longitude. */
cu = *pl++;
su = *pl++;
for (ip = 0; ip < nt; ip++)
{
cu = cu * T + *pl++;
su = su * T + *pl++;
}
sl += cu * cv + su * sv;
/* Radius. */
cu = *pr++;
su = *pr++;
for (ip = 0; ip < nt; ip++)
{
cu = cu * T + *pr++;
su = su * T + *pr++;
}
sr += cu * cv + su * sv;
}
t = plan->trunclvl;
pobj[0] = t * sl;
pobj[2] = t * sr;
return (0);
}
/* Generic program to accumulate sum of trigonometric series
in one variable. */
static double
g1plan (double J, struct plantbl *plan)
{
int i, j, k, m, k1, ip, np, nt;
/* On some systems such as Silicon Graphics, char is unsigned
by default. */
CHAR *p;
long *pl;
double su, cu, sv, cv;
double t, sl;
T = (J - MOSHIER_J2000) / plan->timescale;
mean_elements (J);
/* Calculate sin( i*MM ), etc. for needed multiple angles. */
for (i = 0; i < NARGS; i++)
{
if ((j = plan->max_harmonic[i]) > 0)
{
sscc (i, Args[i], j);
}
}
/* Point to start of table of arguments. */
p = plan->arg_tbl;
/* Point to tabulated cosine and sine amplitudes. */
pl = plan->lon_tbl;
sl = 0.0;
for (;;)
{
/* argument of sine and cosine */
/* Number of periodic arguments. */
np = *p++;
if (np < 0)
break;
if (np == 0)
{ /* It is a polynomial term. */
nt = *p++;
cu = *pl++;
for (ip = 0; ip < nt; ip++)
{
cu = cu * T + *pl++;
}
/* sl += mods3600 (cu); */
sl += cu;
continue;
}
k1 = 0;
cv = 0.0;
sv = 0.0;
for (ip = 0; ip < np; ip++)
{
/* What harmonic. */
j = *p++;
/* Which planet. */
m = *p++ - 1;
if (j)
{
k = abs (j);
k -= 1;
su = ss[m][k]; /* sin(k*angle) */
if (j < 0)
su = -su;
cu = cc[m][k];
if (k1 == 0)
{ /* set first angle */
sv = su;
cv = cu;
k1 = 1;
}
else
{ /* combine angles */
t = su * cv + cu * sv;
cv = cu * cv - su * sv;
sv = t;
}
}
}
/* Highest power of T. */
nt = *p++;
/* Cosine and sine coefficients. */
cu = *pl++;
su = *pl++;
for (ip = 0; ip < nt; ip++)
{
cu = cu * T + *pl++;
su = su * T + *pl++;
}
sl += cu * cv + su * sv;
}
return (plan->trunclvl * sl);
}
/* geocentric moon, mean ecliptic and equinox of date
* J is Julian Epemeris Date
* output in pobj[]:
* pobj[0]: l in rad
* pobj[1]: b in rad
* pobj[2]: r in au
*/
static int
gecmoon (double J, struct plantbl *lrtab, struct plantbl *lattab, double pobj[])
{
double x;
g2plan (J, lrtab, pobj, 0);
x = pobj[0];
x += LP_equinox;
if (x < -6.45e5)
x += 1.296e6;
if (x > 6.45e5)
x -= 1.296e6;
pobj[0] = STR * x;
x = g1plan (J, lattab);
pobj[1] = STR * x;
pobj[2] = (STR * pobj[2] + 1.0) * lrtab->distance;
return 0;
}
/*********** end stephen moshier's moon code ****************/
static void moon_fast (double mj, double *lam, double *bet,
double *hp, double *msp, double *mdp);
/* previous version (elwood):
*
* given the mjd, find the geocentric ecliptic longitude, lam, and latitude,
* bet, and horizontal parallax, hp for the moon. also return the sun's
* mean anomaly, *msp, and the moon's mean anomaly, *mdp.
* N.B. series for long and lat are good to about 10 and 3 arcseconds. however,
* math errors cause up to 100 and 30 arcseconds error, even if use double.
* why?? suspect highly sensitive nature of difference used to get m1..6.
* N.B. still need to correct for nutation. then for topocentric location
* further correct for parallax and refraction.
*/
static void
moon_fast (double mj, double *lam, double *bet, double *hp, double *msp,
double *mdp)
{
double t, t2;
double ld;
double ms;
double md;
double de;
double f;
double n;
double a, sa, sn, b, sb, c, sc, e, e2, l, g, w1, w2;
double m1, m2, m3, m4, m5, m6;
t = mj/36525.;
t2 = t*t;
m1 = mj/27.32158213;
m1 = 360.0*(m1-(long)m1);
m2 = mj/365.2596407;
m2 = 360.0*(m2-(long)m2);
m3 = mj/27.55455094;
m3 = 360.0*(m3-(long)m3);
m4 = mj/29.53058868;
m4 = 360.0*(m4-(long)m4);
m5 = mj/27.21222039;
m5 = 360.0*(m5-(long)m5);
m6 = mj/6798.363307;
m6 = 360.0*(m6-(long)m6);
ld = 270.434164+m1-(.001133-.0000019*t)*t2;
ms = 358.475833+m2-(.00015+.0000033*t)*t2;
md = 296.104608+m3+(.009192+.0000144*t)*t2;
de = 350.737486+m4-(.001436-.0000019*t)*t2;
f = 11.250889+m5-(.003211+.0000003*t)*t2;
n = 259.183275-m6+(.002078+.000022*t)*t2;
a = degrad(51.2+20.2*t);
sa = sin(a);
sn = sin(degrad(n));
b = 346.56+(132.87-.0091731*t)*t;
sb = .003964*sin(degrad(b));
c = degrad(n+275.05-2.3*t);
sc = sin(c);
ld = ld+.000233*sa+sb+.001964*sn;
ms = ms-.001778*sa;
md = md+.000817*sa+sb+.002541*sn;
f = f+sb-.024691*sn-.004328*sc;
de = de+.002011*sa+sb+.001964*sn;
e = 1-(.002495+7.52e-06*t)*t;
e2 = e*e;
ld = degrad(ld);
ms = degrad(ms);
n = degrad(n);
de = degrad(de);
f = degrad(f);
md = degrad(md);
l = 6.28875*sin(md)+1.27402*sin(2*de-md)+.658309*sin(2*de)+
.213616*sin(2*md)-e*.185596*sin(ms)-.114336*sin(2*f)+
.058793*sin(2*(de-md))+.057212*e*sin(2*de-ms-md)+
.05332*sin(2*de+md)+.045874*e*sin(2*de-ms)+.041024*e*sin(md-ms);
l = l-.034718*sin(de)-e*.030465*sin(ms+md)+.015326*sin(2*(de-f))-
.012528*sin(2*f+md)-.01098*sin(2*f-md)+.010674*sin(4*de-md)+
.010034*sin(3*md)+.008548*sin(4*de-2*md)-e*.00791*sin(ms-md+2*de)-
e*.006783*sin(2*de+ms);
l = l+.005162*sin(md-de)+e*.005*sin(ms+de)+.003862*sin(4*de)+
e*.004049*sin(md-ms+2*de)+.003996*sin(2*(md+de))+
.003665*sin(2*de-3*md)+e*.002695*sin(2*md-ms)+
.002602*sin(md-2*(f+de))+e*.002396*sin(2*(de-md)-ms)-
.002349*sin(md+de);
l = l+e2*.002249*sin(2*(de-ms))-e*.002125*sin(2*md+ms)-
e2*.002079*sin(2*ms)+e2*.002059*sin(2*(de-ms)-md)-
.001773*sin(md+2*(de-f))-.001595*sin(2*(f+de))+
e*.00122*sin(4*de-ms-md)-.00111*sin(2*(md+f))+.000892*sin(md-3*de);
l = l-e*.000811*sin(ms+md+2*de)+e*.000761*sin(4*de-ms-2*md)+
e2*.000704*sin(md-2*(ms+de))+e*.000693*sin(ms-2*(md-de))+
e*.000598*sin(2*(de-f)-ms)+.00055*sin(md+4*de)+.000538*sin(4*md)+
e*.000521*sin(4*de-ms)+.000486*sin(2*md-de);
l = l+e2*.000717*sin(md-2*ms);
*lam = ld+degrad(l);
range (lam, 2*PI);
g = 5.12819*sin(f)+.280606*sin(md+f)+.277693*sin(md-f)+
.173238*sin(2*de-f)+.055413*sin(2*de+f-md)+.046272*sin(2*de-f-md)+
.032573*sin(2*de+f)+.017198*sin(2*md+f)+.009267*sin(2*de+md-f)+
.008823*sin(2*md-f)+e*.008247*sin(2*de-ms-f);
g = g+.004323*sin(2*(de-md)-f)+.0042*sin(2*de+f+md)+
e*.003372*sin(f-ms-2*de)+e*.002472*sin(2*de+f-ms-md)+
e*.002222*sin(2*de+f-ms)+e*.002072*sin(2*de-f-ms-md)+
e*.001877*sin(f-ms+md)+.001828*sin(4*de-f-md)-e*.001803*sin(f+ms)-
.00175*sin(3*f);
g = g+e*.00157*sin(md-ms-f)-.001487*sin(f+de)-e*.001481*sin(f+ms+md)+
e*.001417*sin(f-ms-md)+e*.00135*sin(f-ms)+.00133*sin(f-de)+
.001106*sin(f+3*md)+.00102*sin(4*de-f)+.000833*sin(f+4*de-md)+
.000781*sin(md-3*f)+.00067*sin(f+4*de-2*md);
g = g+.000606*sin(2*de-3*f)+.000597*sin(2*(de+md)-f)+
e*.000492*sin(2*de+md-ms-f)+.00045*sin(2*(md-de)-f)+
.000439*sin(3*md-f)+.000423*sin(f+2*(de+md))+
.000422*sin(2*de-f-3*md)-e*.000367*sin(ms+f+2*de-md)-
e*.000353*sin(ms+f+2*de)+.000331*sin(f+4*de);
g = g+e*.000317*sin(2*de+f-ms+md)+e2*.000306*sin(2*(de-ms)-f)-
.000283*sin(md+3*f);
w1 = .0004664*cos(n);
w2 = .0000754*cos(c);
*bet = degrad(g)*(1-w1-w2);
*hp = .950724+.051818*cos(md)+.009531*cos(2*de-md)+.007843*cos(2*de)+
.002824*cos(2*md)+.000857*cos(2*de+md)+e*.000533*cos(2*de-ms)+
e*.000401*cos(2*de-md-ms)+e*.00032*cos(md-ms)-.000271*cos(de)-
e*.000264*cos(ms+md)-.000198*cos(2*f-md);
*hp = *hp+.000173*cos(3*md)+.000167*cos(4*de-md)-e*.000111*cos(ms)+
.000103*cos(4*de-2*md)-.000084*cos(2*md-2*de)-
e*.000083*cos(2*de+ms)+.000079*cos(2*de+2*md)+.000072*cos(4*de)+
e*.000064*cos(2*de-ms+md)-e*.000063*cos(2*de+ms-md)+
e*.000041*cos(ms+de);
*hp = *hp+e*.000035*cos(2*md-ms)-.000033*cos(3*md-2*de)-
.00003*cos(md+de)-.000029*cos(2*(f-de))-e*.000029*cos(2*md+ms)+
e2*.000026*cos(2*(de-ms))-.000023*cos(2*(f-de)+md)+
e*.000019*cos(4*de-ms-md);
*hp = degrad(*hp);
*msp = ms;
*mdp = md;
}
#define EarthRadius 6378.16 /* Kilometers */
/* moon() - front end rountine to get moon position; stern
*
* given the mjd, find the geocentric ecliptic longitude, lam, and latitude,
* bet, and geocentric distance, rho in a.u. for the moon. also return
* the sun's mean anomaly, *msp, and the moon's mean anomaly, *mdp.
*
* now uses Stephen Moshier's expansion and code.
*
* TODO: - clarify lunar aberration for apparent places
*
* still need to correct for nutation. then for topocentric location
* further correct for parallax and refraction.
* NB: Do NOT correct for aberration - the geocentric moon frame moves
* along with the earth.
*/
void
moon (double mj, double *lam, double *bet, double *rho, double *msp,
double *mdp)
{
double pobj[3], dt;
double hp;
if (mj >= MOSHIER_BEGIN && mj <= MOSHIER_END) {
/* retard for light time */
moon_fast (mj, lam, bet, &hp, msp, mdp);
*rho = EarthRadius/AUKM/sin(hp);
dt = *rho * 5.7755183e-3; /* speed of light in a.u/day */
gecmoon(mj + MJD0 - dt, &moonlr, &moonlat, pobj);
*lam = pobj[0];
range (lam, 2*PI);
*bet = pobj[1];
*rho = pobj[2];
*msp = STR * Args[11]; /* don't need range correction here */
*mdp = STR * Args[12];
} else {
moon_fast (mj, lam, bet, &hp, msp, mdp);
*rho = EarthRadius/AUKM/sin(hp);
}
}
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