pico_synth_ex_tables.h

#ifndef PICO_SYNTH_EX_TABLES_H_
#define PICO_SYNTH_EX_TABLES_H_

struct FILTER_COEFS { int32_t b0_a0, a1_a0, a2_a0; }; // Q28 Filter coefficients

static const uint32_t Osc_freq_table[122] = {
796241,
843601,
893761,
946897,
1003217,
1062865,
1126065,
1193025,
1263969,
1339121,
1418753,
1503121,
1592497,
1687201,
1787521,
1893809,
2006433,
2125729,
2252145,
2386065,
2527937,
2678257,
2837521,
3006241,
3185009,
3374401,
3575057,
3787633,
4012865,
4251473,
4504289,
4772129,
5055889,
5356529,
5675041,
6012497,
6370017,
6748801,
7150113,
7575281,
8025729,
8502961,
9008577,
9544257,
10111793,
10713057,
11350097,
12025009,
12740049,
13497617,
14300225,
15150561,
16051457,
17005937,
18017153,
19088513,
20223585,
21426129,
22700193,
24050017,
25480113,
26995249,
28600465,
30301137,
32102929,
34011873,
36034321,
38177041,
40447169,
42852273,
45400401,
48100049,
50960225,
53990497,
57200929,
60602273,
64205873,
68023761,
72068657,
76354081,
80894337,
85704561,
90800817,
96200113,
101920465,
107980993,
114401857,
121204545,
128411745,
136047521,
144137313,
152708177,
161788673,
171409121,
181601633,
192400257,
203840945,
215961953,
228803761,
242409105,
256823489,
272095041,
288274625,
305416321,
323577345,
342818241,
363203265,
384800513,
407681889,
431923905,
457607521,
484818209,
513646977,
544190081,
576549249,
610832641,
647154689,
685636481,
726406721,
769600833,
815363777,
863847937,
};

static const int16_t Osc_tune_table[256] = { // Q14 frequency tuning table
466,
-462,
-459,
-455,
-452,
-448,
-444,
-441,
-437,
-434,
-430,
-426,
-423,
-419,
-416,
-412,
-408,
-405,
-401,
-398,
-394,
-390,
-387,
-383,
-379,
-376,
-372,
-369,
-365,
-361,
-358,
-354,
-351,
-347,
-343,
-340,
-336,
-332,
-329,
-325,
-322,
-318,
-314,
-311,
-307,
-303,
-300,
-296,
-293,
-289,
-285,
-282,
-278,
-274,
-271,
-267,
-264,
-260,
-256,
-253,
-249,
-245,
-242,
-238,
-234,
-231,
-227,
-223,
-220,
-216,
-213,
-209,
-205,
-202,
-198,
-194,
-191,
-187,
-183,
-180,
-176,
-172,
-169,
-165,
-161,
-158,
-154,
-150,
-147,
-143,
-139,
-136,
-132,
-128,
-125,
-121,
-117,
-114,
-110,
-106,
-103,
-99,
-95,
-92,
-88,
-84,
-81,
-77,
-73,
-70,
-66,
-62,
-59,
-55,
-51,
-47,
-44,
-40,
-36,
-33,
-29,
-25,
-22,
-18,
-14,
-11,
-7,
-3,
0,
3,
7,
11,
14,
18,
22,
25,
29,
33,
37,
40,
44,
48,
51,
55,
59,
62,
66,
70,
74,
77,
81,
85,
88,
92,
96,
100,
103,
107,
111,
115,
118,
122,
126,
129,
133,
137,
141,
144,
148,
152,
156,
159,
163,
167,
170,
174,
178,
182,
185,
189,
193,
197,
200,
204,
208,
212,
215,
219,
223,
227,
230,
234,
238,
242,
245,
249,
253,
257,
260,
264,
268,
272,
275,
279,
283,
287,
290,
294,
298,
302,
305,
309,
313,
317,
321,
324,
328,
332,
336,
339,
343,
347,
351,
354,
358,
362,
366,
370,
373,
377,
381,
385,
389,
392,
396,
400,
404,
407,
411,
415,
419,
423,
426,
430,
434,
438,
442,
445,
449,
453,
457,
461,
464,
468,
472,
476,
};

static int16_t Osc_wave_tables[2][31][512] = {  // Q14 waveform tables
{
{
0,
7096,
9594,
8312,
7268,
7933,
8541,
8029,
7526,
7858,
8201,
7877,
7533,
7743,
7979,
7741,
7473,
7620,
7799,
7610,
7387,
7494,
7637,
7480,
7286,
7368,
7486,
7351,
7178,
7241,
7341,
7222,
7065,
7113,
7200,
7094,
6949,
6986,
7061,
6965,
6830,
6858,
6925,
6837,
6710,
6730,
6790,
6709,
6588,
6602,
6656,
6581,
6466,
6474,
6523,
6453,
6343,
6346,
6390,
6325,
6219,
6219,
6258,
6196,
6094,
6091,
6127,
6068,
5970,
5963,
5996,
5940,
5844,
5835,
5865,
5812,
5719,
5707,
5735,
5684,
5593,
5579,
5605,
5556,
5468,
5451,
5474,
5428,
5342,
5323,
5345,
5300,
5215,
5195,
5215,
5172,
5089,
5067,
5085,
5044,
4963,
4939,
4956,
4916,
4836,
4811,
4826,
4788,
4709,
4683,
4697,
4660,
4583,
4555,
4568,
4532,
4456,
4427,
4439,
4404,
4329,
4299,
4309,
4276,
4202,
4171,
4180,
4148,
4075,
4043,
4051,
4020,
3948,
3915,
3922,
3892,
3821,
3787,
3794,
3764,
3694,
3659,
3665,
3636,
3567,
3531,
3536,
3508,
3440,
3403,
3407,
3380,
3312,
3275,
3278,
3252,
3185,
3147,
3149,
3124,
3058,
3019,
3021,
2996,
2931,
2891,
2892,
2868,
2803,
2763,
2763,
2740,
2676,
2635,
2635,
2612,
2549,
2507,
2506,
2484,
2421,
2379,
2377,
2356,
2294,
2251,
2249,
2228,
2166,
2123,
2120,
2100,
2039,
1995,
1992,
1972,
1912,
1867,
1863,
1844,
1784,
1739,
1735,
1716,
1657,
1611,
1606,
1588,
1529,
1483,
1477,
1460,
1402,
1355,
1349,
1332,
1274,
1227,
1220,
1204,
1147,
1099,
1092,
1076,
1019,
971,
963,
948,
892,
843,
835,
820,
764,
715,
706,
692,
637,
587,
578,
564,
509,
459,
449,
436,
382,
331,
321,
308,
254,
203,
192,
180,
127,
75,
64,
52,
0,
-53,
-65,
-76,
-128,
-181,
-193,
-204,
-256,
-309,
-322,
-332,
-383,
-437,
-450,
-460,
-510,
-565,
-579,
-588,
-638,
-693,
-707,
-716,
-765,
-821,
-836,
-844,
-893,
-949,
-964,
-972,
-1020,
-1077,
-1093,
-1100,
-1148,
-1205,
-1221,
-1228,
-1275,
-1333,
-1350,
-1356,
-1403,
-1461,
-1478,
-1484,
-1530,
-1589,
-1607,
-1612,
-1658,
-1717,
-1736,
-1740,
-1785,
-1845,
-1864,
-1868,
-1913,
-1973,
-1993,
-1996,
-2040,
-2101,
-2121,
-2124,
-2167,
-2229,
-2250,
-2252,
-2295,
-2357,
-2378,
-2380,
-2422,
-2485,
-2507,
-2508,
-2550,
-2613,
-2636,
-2636,
-2677,
-2741,
-2764,
-2764,
-2804,
-2869,
-2893,
-2892,
-2932,
-2997,
-3022,
-3020,
-3059,
-3125,
-3150,
-3148,
-3186,
-3253,
-3279,
-3276,
-3313,
-3381,
-3408,
-3404,
-3441,
-3509,
-3537,
-3532,
-3568,
-3637,
-3666,
-3660,
-3695,
-3765,
-3795,
-3788,
-3822,
-3893,
-3923,
-3916,
-3949,
-4021,
-4052,
-4044,
-4076,
-4149,
-4181,
-4172,
-4203,
-4277,
-4310,
-4300,
-4330,
-4405,
-4440,
-4428,
-4457,
-4533,
-4569,
-4556,
-4584,
-4661,
-4698,
-4684,
-4710,
-4789,
-4827,
-4812,
-4837,
-4917,
-4957,
-4940,
-4964,
-5045,
-5086,
-5068,
-5090,
-5173,
-5216,
-5196,
-5216,
-5301,
-5346,
-5324,
-5343,
-5429,
-5475,
-5452,
-5469,
-5557,
-5606,
-5580,
-5594,
-5685,
-5736,
-5708,
-5720,
-5813,
-5866,
-5836,
-5845,
-5941,
-5997,
-5964,
-5971,
-6069,
-6128,
-6092,
-6095,
-6197,
-6259,
-6220,
-6220,
-6325,
-6391,
-6347,
-6344,
-6454,
-6524,
-6475,
-6467,
-6582,
-6657,
-6603,
-6589,
-6710,
-6791,
-6731,
-6711,
-6838,
-6926,
-6859,
-6831,
-6966,
-7062,
-6987,
-6950,
-7095,
-7201,
-7114,
-7066,
-7223,
-7342,
-7242,
-7179,
-7352,
-7487,
-7369,
-7287,
-7481,
-7638,
-7495,
-7388,
-7611,
-7800,
-7621,
-7474,
-7742,
-7980,
-7744,
-7534,
-7878,
-8202,
-7859,
-7527,
-8030,
-8542,
-7934,
-7269,
-8313,
-9595,
-7097,
},
{
0,
7096,
9594,
8312,
7268,
7933,
8541,
8029,
7526,
7858,
8201,
7877,
7533,
7743,
7979,
7741,
7473,
7620,
7799,
7610,
7387,
7494,
7637,
7480,
7286,
7368,
7486,
7351,
7178,
7241,
7341,
7222,
7065,
7113,
7200,
7094,
6949,
6986,
7061,
6965,
6830,
6858,
6925,
6837,
6710,
6730,
6790,
6709,
6588,
6602,
6656,
6581,
6466,
6474,
6523,
6453,
6343,
6346,
6390,
6325,
6219,
6219,
6258,
6196,
6094,
6091,
6127,
6068,
5970,
5963,
5996,
5940,
5844,
5835,
5865,
5812,
5719,
5707,
5735,
5684,
5593,
5579,
5605,
5556,
5468,
5451,
5474,
5428,
5342,
5323,
5345,
5300,
5215,
5195,
5215,
5172,
5089,
5067,
5085,
5044,
4963,
4939,
4956,
4916,
4836,
4811,
4826,
4788,
4709,
4683,
4697,
4660,
4583,
4555,
4568,
4532,
4456,
4427,
4439,
4404,
4329,
4299,
4309,
4276,
4202,
4171,
4180,
4148,
4075,
4043,
4051,
4020,
3948,
3915,
3922,
3892,
3821,
3787,
3794,
3764,
3694,
3659,
3665,
3636,
3567,
3531,
3536,
3508,
3440,
3403,
3407,
3380,
3312,
3275,
3278,
3252,
3185,
3147,
3149,
3124,
3058,
3019,
3021,
2996,
2931,
2891,
2892,
2868,
2803,
2763,
2763,
2740,
2676,
2635,
2635,
2612,
2549,
2507,
2506,
2484,
2421,
2379,
2377,
2356,
2294,
2251,
2249,
2228,
2166,
2123,
2120,
2100,
2039,
1995,
1992,
1972,
1912,
1867,
1863,
1844,
1784,
1739,
1735,
1716,
1657,
1611,
1606,
1588,
1529,
1483,
1477,
1460,
1402,
1355,
1349,
1332,
1274,
1227,
1220,
1204,
1147,
1099,
1092,
1076,
1019,
971,
963,
948,
892,
843,
835,
820,
764,
715,
706,
692,
637,
587,
578,
564,
509,
459,
449,
436,
382,
331,
321,
308,
254,
203,
192,
180,
127,
75,
64,
52,
0,
-53,
-65,
-76,
-128,
-181,
-193,
-204,
-256,
-309,
-322,
-332,
-383,
-437,
-450,
-460,
-510,
-565,
-579,
-588,
-638,
-693,
-707,
-716,
-765,
-821,
-836,
-844,
-893,
-949,
-964,
-972,
-1020,
-1077,
-1093,
-1100,
-1148,
-1205,
-1221,
-1228,
-1275,
-1333,
-1350,
-1356,
-1403,
-1461,
-1478,
-1484,
-1530,
-1589,
-1607,
-1612,
-1658,
-1717,
-1736,
-1740,
-1785,
-1845,
-1864,
-1868,
-1913,
-1973,
-1993,
-1996,
-2040,
-2101,
-2121,
-2124,
-2167,
-2229,
-2250,
-2252,
-2295,
-2357,
-2378,
-2380,
-2422,
-2485,
-2507,
-2508,
-2550,
-2613,
-2636,
-2636,
-2677,
-2741,
-2764,
-2764,
-2804,
-2869,
-2893,
-2892,
-2932,
-2997,
-3022,
-3020,
-3059,
-3125,
-3150,
-3148,
-3186,
-3253,
-3279,
-3276,
-3313,
-3381,
-3408,
-3404,
-3441,
-3509,
-3537,
-3532,
-3568,
-3637,
-3666,
-3660,
-3695,
-3765,
-3795,
-3788,
-3822,
-3893,
-3923,
-3916,
-3949,
-4021,
-4052,
-4044,
-4076,
-4149,
-4181,
-4172,
-4203,
-4277,
-4310,
-4300,
-4330,
-4405,
-4440,
-4428,
-4457,
-4533,
-4569,
-4556,
-4584,
-4661,
-4698,
-4684,
-4710,
-4789,
-4827,
-4812,
-4837,
-4917,
-4957,
-4940,
-4964,
-5045,
-5086,
-5068,
-5090,
-5173,
-5216,
-5196,
-5216,
-5301,
-5346,
-5324,
-5343,
-5429,
-5475,
-5452,
-5469,
-5557,
-5606,
-5580,
-5594,
-5685,
-5736,
-5708,
-5720,
-5813,
-5866,
-5836,
-5845,
-5941,
-5997,
-5964,
-5971,
-6069,
-6128,
-6092,
-6095,
-6197,
-6259,
-6220,
-6220,
-6325,
-6391,
-6347,
-6344,
-6454,
-6524,
-6475,
-6467,
-6582,
-6657,
-6603,
-6589,
-6710,
-6791,
-6731,
-6711,
-6838,
-6926,
-6859,
-6831,
-6966,
-7062,
-6987,
-6950,
-7095,
-7201,
-7114,
-7066,
-7223,
-7342,
-7242,
-7179,
-7352,
-7487,
-7369,
-7287,
-7481,
-7638,
-7495,
-7388,
-7611,
-7800,
-7621,
-7474,
-7742,
-7980,
-7744,
-7534,
-7878,
-8202,
-7859,
-7527,
-8030,
-8542,
-7934,
-7269,
-8313,
-9595,
-7097,
},
{
0,
7096,
9594,
8312,
7268,
7933,
8541,
8029,
7526,
7858,
8201,
7877,
7533,
7743,
7979,
7741,
7473,
7620,
7799,
7610,
7387,
7494,
7637,
7480,
7286,
7368,
7486,
7351,
7178,
7241,
7341,
7222,
7065,
7113,
7200,
7094,
6949,
6986,
7061,
6965,
6830,
6858,
6925,
6837,
6710,
6730,
6790,
6709,
6588,
6602,
6656,
6581,
6466,
6474,
6523,
6453,
6343,
6346,
6390,
6325,
6219,
6219,
6258,
6196,
6094,
6091,
6127,
6068,
5970,
5963,
5996,
5940,
5844,
5835,
5865,
5812,
5719,
5707,
5735,
5684,
5593,
5579,
5605,
5556,
5468,
5451,
5474,
5428,
5342,
5323,
5345,
5300,
5215,
5195,
5215,
5172,
5089,
5067,
5085,
5044,
4963,
4939,
4956,
4916,
4836,
4811,
4826,
4788,
4709,
4683,
4697,
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-3989,
-3917,
-3842,
-3765,
-3685,
-3602,
-3517,
-3430,
-3341,
-3249,
-3154,
-3058,
-2959,
-2858,
-2755,
-2650,
-2544,
-2435,
-2325,
-2213,
-2099,
-1984,
-1867,
-1749,
-1630,
-1509,
-1387,
-1265,
-1141,
-1016,
-891,
-765,
-638,
-511,
-384,
-256,
-128,
},
{
0,
63,
127,
191,
255,
319,
383,
447,
511,
574,
638,
701,
765,
828,
891,
954,
1017,
1080,
1142,
1205,
1267,
1329,
1390,
1452,
1513,
1575,
1635,
1696,
1756,
1817,
1876,
1936,
1995,
2054,
2113,
2171,
2229,
2287,
2344,
2401,
2458,
2514,
2570,
2626,
2681,
2735,
2790,
2843,
2897,
2950,
3002,
3055,
3106,
3157,
3208,
3258,
3308,
3357,
3406,
3454,
3502,
3549,
3596,
3642,
3687,
3732,
3777,
3820,
3864,
3906,
3948,
3990,
4031,
4071,
4111,
4150,
4188,
4226,
4263,
4300,
4336,
4371,
4406,
4439,
4473,
4505,
4537,
4568,
4599,
4629,
4658,
4686,
4714,
4741,
4767,
4793,
4818,
4842,
4865,
4888,
4910,
4931,
4951,
4971,
4990,
5008,
5026,
5042,
5058,
5074,
5088,
5102,
5114,
5127,
5138,
5148,
5158,
5167,
5175,
5183,
5190,
5195,
5201,
5205,
5208,
5211,
5213,
5214,
5215,
5214,
5213,
5211,
5208,
5205,
5201,
5195,
5190,
5183,
5175,
5167,
5158,
5148,
5138,
5127,
5114,
5102,
5088,
5074,
5058,
5042,
5026,
5008,
4990,
4971,
4951,
4931,
4910,
4888,
4865,
4842,
4818,
4793,
4767,
4741,
4714,
4686,
4658,
4629,
4599,
4568,
4537,
4505,
4473,
4439,
4406,
4371,
4336,
4300,
4263,
4226,
4188,
4150,
4111,
4071,
4031,
3990,
3948,
3906,
3864,
3820,
3777,
3732,
3687,
3642,
3596,
3549,
3502,
3454,
3406,
3357,
3308,
3258,
3208,
3157,
3106,
3055,
3002,
2950,
2897,
2843,
2790,
2735,
2681,
2626,
2570,
2514,
2458,
2401,
2344,
2287,
2229,
2171,
2113,
2054,
1995,
1936,
1876,
1817,
1756,
1696,
1635,
1575,
1513,
1452,
1390,
1329,
1267,
1205,
1142,
1080,
1017,
954,
891,
828,
765,
701,
638,
574,
511,
447,
383,
319,
255,
191,
127,
63,
-1,
-64,
-128,
-192,
-256,
-320,
-384,
-448,
-512,
-575,
-639,
-702,
-766,
-829,
-892,
-955,
-1018,
-1081,
-1143,
-1206,
-1268,
-1330,
-1391,
-1453,
-1514,
-1576,
-1636,
-1697,
-1757,
-1818,
-1877,
-1937,
-1996,
-2055,
-2114,
-2172,
-2230,
-2288,
-2345,
-2402,
-2459,
-2515,
-2571,
-2627,
-2682,
-2736,
-2791,
-2844,
-2898,
-2951,
-3003,
-3056,
-3107,
-3158,
-3209,
-3259,
-3309,
-3358,
-3407,
-3455,
-3503,
-3550,
-3597,
-3643,
-3688,
-3733,
-3778,
-3821,
-3865,
-3907,
-3949,
-3991,
-4032,
-4072,
-4112,
-4151,
-4189,
-4227,
-4264,
-4301,
-4337,
-4372,
-4407,
-4440,
-4474,
-4506,
-4538,
-4569,
-4600,
-4630,
-4659,
-4687,
-4715,
-4742,
-4768,
-4794,
-4819,
-4843,
-4866,
-4889,
-4911,
-4932,
-4952,
-4972,
-4991,
-5009,
-5027,
-5043,
-5059,
-5075,
-5089,
-5103,
-5115,
-5128,
-5139,
-5149,
-5159,
-5168,
-5176,
-5184,
-5191,
-5196,
-5202,
-5206,
-5209,
-5212,
-5214,
-5215,
-5216,
-5215,
-5214,
-5212,
-5209,
-5206,
-5202,
-5196,
-5191,
-5184,
-5176,
-5168,
-5159,
-5149,
-5139,
-5128,
-5115,
-5103,
-5089,
-5075,
-5059,
-5043,
-5027,
-5009,
-4991,
-4972,
-4952,
-4932,
-4911,
-4889,
-4866,
-4843,
-4819,
-4794,
-4768,
-4742,
-4715,
-4687,
-4659,
-4630,
-4600,
-4569,
-4538,
-4506,
-4474,
-4440,
-4407,
-4372,
-4337,
-4301,
-4264,
-4227,
-4189,
-4151,
-4112,
-4072,
-4032,
-3991,
-3949,
-3907,
-3865,
-3821,
-3778,
-3733,
-3688,
-3643,
-3597,
-3550,
-3503,
-3455,
-3407,
-3358,
-3309,
-3259,
-3209,
-3158,
-3107,
-3056,
-3003,
-2951,
-2898,
-2844,
-2791,
-2736,
-2682,
-2627,
-2571,
-2515,
-2459,
-2402,
-2345,
-2288,
-2230,
-2172,
-2114,
-2055,
-1996,
-1937,
-1877,
-1818,
-1757,
-1697,
-1636,
-1576,
-1514,
-1453,
-1391,
-1330,
-1268,
-1206,
-1143,
-1081,
-1018,
-955,
-892,
-829,
-766,
-702,
-639,
-575,
-512,
-448,
-384,
-320,
-256,
-192,
-128,
-64,
}
}
};

static int16_t Osc_mix_table[65] = { // Q14 mix table
16384,
16255,
16125,
15995,
15863,
15730,
15597,
15462,
15325,
15188,
15049,
14909,
14768,
14625,
14481,
14336,
14188,
14040,
13890,
13738,
13584,
13429,
13272,
13113,
12952,
12789,
12624,
12457,
12288,
12116,
11941,
11764,
11585,
11402,
11217,
11028,
10836,
10641,
10442,
10240,
10033,
9821,
9605,
9385,
9158,
8927,
8688,
8444,
8192,
7931,
7662,
7384,
7094,
6792,
6476,
6144,
5792,
5418,
5016,
4579,
4096,
3547,
2896,
2048,
0,
};

static uint32_t LFO_freq_table[65] = {
19478,
20931,
22493,
24171,
25974,
27912,
29995,
32233,
34637,
37222,
39999,
42983,
46190,
49636,
53339,
57319,
61595,
66191,
71129,
76436,
82139,
88267,
94853,
101929,
109534,
117706,
126488,
135925,
146066,
156964,
168675,
181259,
194783,
209315,
224932,
241713,
259747,
279126,
299951,
322330,
346378,
372221,
399991,
429834,
461903,
496365,
533397,
573193,
615958,
661913,
711297,
764365,
821393,
882675,
948530,
1019298,
1095345,
1177067,
1264885,
1359256,
1460667,
1569644,
1686752,
1812597,
1947831,
};

static uint32_t EG_exp_table[65] = {                                            
1,                                                                              
1,                                                                              
1,                                                                              
1,                                                                              
1,                                                                              
2,                                                                              
2,                                                                              
2,                                                                              
3,                                                                              
3,                                                                              
4,                                                                              
4,                                                                              
5,                                                                              
6,                                                                              
7,                                                                              
8,                                                                              
10,                                                                             
11,                                                                             
13,                                                                             
15,                                                                             
17,                                                                             
20,                                                                             
23,                                                                             
27,                                                                             
31,                                                                             
36,                                                                             
42,                                                                             
48,                                                                             
56,                                                                             
64,                                                                             
74,                                                                             
86,                                                                             
100,                                                                            
115,                                                                            
133,                                                                            
153,                                                                            
177,                                                                            
205,                                                                            
237,                                                                            
273,                                                                            
316,                                                                            
365,                                                                            
421,                                                                            
486,                                                                            
562,                                                                            
649,                                                                            
749,                                                                            
865,                                                                            
1000,                                                                           
1154,                                                                           
1333,                                                                           
1539,                                                                           
1778,                                                                           
2053,                                                                           
2371,                                                                           
2738,                                                                           
3162,                                                                           
3651,                                                                           
4216,                                                                           
4869,                                                                           
5623,                                                                           
6493,                                                                           
7498,                                                                           
8659,                                                                           
10000,                                                                          
};

static struct FILTER_COEFS Filter_coefs_table[6][481] = {
{
{518, -535819104, 267385760},
{534, -535803808, 267370512},
{542, -535788352, 267355072},
{558, -535772608, 267339392},
{574, -535756608, 267323456},
{590, -535740416, 267307328},
{606, -535724000, 267290960},
{622, -535707360, 267274368},
{638, -535690400, 267257504},
{662, -535673216, 267240416},
{678, -535655776, 267223056},
{702, -535638080, 267205456},
{726, -535620160, 267187616},
{750, -535601984, 267169520},
{774, -535583456, 267151120},
{798, -535564768, 267132496},
{821, -535545760, 267113600},
{845, -535526496, 267094432},
{869, -535506912, 267074960},
{893, -535487072, 267055216},
{917, -535467008, 267035200},
{949, -535446560, 267014912},
{973, -535425856, 266994272},
{997, -535404864, 266973392},
{1029, -535383552, 266952192},
{1053, -535361952, 266930672},
{1084, -535339968, 266908848},
{1108, -535317728, 266886704},
{1148, -535295072, 266864208},
{1180, -535272160, 266841440},
{1220, -535248896, 266818320},
{1260, -535225280, 266794864},
{1299, -535201312, 266771072},
{1339, -535177056, 266746960},
{1379, -535152416, 266722480},
{1419, -535127392, 266697632},
{1459, -535102048, 266672432},
{1498, -535076320, 266646880},
{1538, -535050240, 266620960},
{1586, -535023808, 266594688},
{1626, -534996928, 266567984},
{1674, -534969664, 266540912},
{1713, -534942080, 266513456},
{1769, -534913952, 266485568},
{1825, -534885440, 266457312},
{1880, -534856576, 266428672},
{1944, -534827296, 266399600},
{2000, -534797536, 266370112},
{2055, -534767424, 266340176},
{2119, -534736800, 266309824},
{2175, -534705792, 266279040},
{2238, -534674304, 266247792},
{2302, -534642368, 266216112},
{2366, -534609952, 266183952},
{2429, -534577056, 266151344},
{2509, -534543680, 266118272},
{2580, -534509824, 266084704},
{2660, -534475520, 266050688},
{2739, -534440640, 266016128},
{2819, -534405312, 265981120},
{2906, -534369440, 265945600},
{2985, -534333056, 265909536},
{3073, -534296128, 265872960},
{3160, -534258688, 265835888},
{3247, -534220704, 265798256},
{3343, -534182176, 265760080},
{3446, -534143040, 265721376},
{3549, -534103360, 265682096},
{3660, -534063072, 265642256},
{3764, -534022240, 265601856},
{3875, -533980768, 265560832},
{3986, -533938784, 265519264},
{4097, -533896128, 265477072},
{4208, -533852896, 265434272},
{4335, -533808992, 265390864},
{4470, -533764416, 265346848},
{4604, -533719200, 265302192},
{4739, -533673376, 265256880},
{4874, -533626880, 265210928},
{5017, -533579712, 265164304},
{5159, -533531840, 265117024},
{5302, -533483296, 265069072},
{5461, -533434016, 265020400},
{5627, -533384000, 264971056},
{5793, -533333280, 264921008},
{5960, -533281856, 264870240},
{6134, -533229632, 264818704},
{6308, -533176704, 264766496},
{6490, -533122976, 264713488},
{6680, -533068448, 264659712},
{6878, -533013120, 264605200},
{7084, -532957056, 264549904},
{7290, -532900096, 264493792},
{7503, -532842368, 264436912},
{7717, -532783744, 264379168},
{7938, -532724320, 264320624},
{8175, -532664000, 264261248},
{8421, -532602784, 264201024},
{8666, -532540704, 264139920},
{8919, -532477728, 264077952},
{9171, -532413824, 264015088},
{9432, -532349024, 263951328},
{9716, -532283264, 263886656},
{10009, -532216480, 263821056},
{10301, -532148768, 263754528},
{10593, -532080128, 263687056},
{10893, -532010528, 263618624},
{11216, -531939776, 263549200},
{11548, -531868032, 263478784},
{11887, -531795328, 263407392},
{12234, -531721440, 263334944},
{12581, -531646560, 263261440},
{12952, -531570560, 263186944},
{13338, -531493472, 263111376},
{13724, -531415264, 263034720},
{14126, -531335904, 262956960},
{14528, -531255424, 262878112},
{14953, -531173760, 262798128},
{15394, -531090880, 262717008},
{15842, -531006848, 262634752},
{16299, -530921536, 262551280},
{16771, -530835040, 262466656},
{17267, -530747200, 262380816},
{17778, -530658144, 262293792},
{18281, -530567840, 262205488},
{18815, -530476160, 262115968},
{19373, -530383072, 262025136},
{19939, -530288736, 261933056},
{20512, -530193024, 261839632},
{21109, -530095936, 261744896},
{21729, -529997344, 261648816},
{22357, -529897408, 261551376},
{23000, -529796000, 261452544},
{23675, -529693120, 261352352},
{24373, -529588704, 261250736},
{25078, -529482784, 261147648},
{25799, -529375360, 261043120},
{26559, -529266336, 260937104},
{27335, -529155744, 260829616},
{28118, -529043584, 260720592},
{28939, -528929728, 260610016},
{29785, -528814176, 260497888},
{30645, -528697024, 260384160},
{31536, -528578176, 260268864},
{32459, -528457568, 260151952},
{33397, -528335232, 260033360},
{34373, -528211040, 259913088},
{35373, -528085088, 259791136},
{36395, -527957376, 259667488},
{37457, -527827744, 259542128},
{38549, -527696224, 259414960},
{39656, -527562816, 259285984},
{40818, -527427424, 259155232},
{42002, -527290080, 259022656},
{43217, -527150784, 258888176},
{44478, -527009440, 258751888},
{45763, -526866016, 258613632},
{47093, -526720544, 258473472},
{48462, -526572960, 258331328},
{49861, -526423232, 258187200},
{51322, -526271232, 258041056},
{52798, -526117088, 257892848},
{54335, -525960736, 257742608},
{55911, -525802080, 257590256},
{57532, -525641088, 257435792},
{59207, -525477792, 257279184},
{60904, -525312256, 257120400},
{62686, -525144064, 256959360},
{64490, -524973600, 256796112},
{66371, -524800544, 256630592},
{68290, -524625088, 256462768},
{70269, -524447008, 256292624},
{72302, -524266368, 256120128},
{74403, -524083104, 255945232},
{76550, -523897120, 255767888},
{78772, -523708480, 255588144},
{81040, -523517184, 255405872},
{83399, -523322944, 255221072},
{85795, -523126080, 255033776},
{88290, -522926144, 254843840},
{90830, -522723424, 254651312},
{93469, -522517728, 254456144},
{96167, -522309056, 254258256},
{98949, -522097376, 254057712},
{101813, -521882496, 253854320},
{104745, -521664672, 253648208},
{107782, -521443552, 253439248},
{110879, -521219360, 253227408},
{114089, -520991808, 253012688},
{117381, -520760960, 252795008},
{120763, -520526784, 252574384},
{124258, -520289152, 252350736},
{127842, -520048128, 252124032},
{131522, -519803584, 251894224},
{135323, -519555488, 251661312},
{139220, -519303776, 251425216},
{143229, -519048480, 251185936},
{147364, -518789408, 250943392},
{151611, -518526592, 250697584},
{155969, -518260000, 250448400},
{160468, -517989408, 250195856},
{165093, -517715008, 249939920},
{169836, -517436672, 249680544},
{174719, -517154240, 249417632},
{179750, -516867648, 249151200},
{184922, -516576928, 248881152},
{190240, -516282048, 248607520},
{195705, -515982816, 248330176},
{201317, -515679328, 248049152},
{207106, -515371392, 247764352},
{213056, -515058944, 247475712},
{219182, -514742016, 247183264},
{225467, -514420448, 246886880},
{231936, -514094272, 246586544},
{238587, -513763328, 246282256},
{245427, -513427616, 245973888},
{252456, -513087040, 245661424},
{259688, -512741600, 245344880},
{267132, -512390976, 245024080},
{274785, -512035392, 244699072},
{282655, -511674656, 244369824},
{290749, -511308640, 244036176},
{299066, -510937312, 243698128},
{307613, -510560736, 243355712},
{316413, -510178560, 243008736},
{325456, -509790880, 242657248},
{334750, -509397568, 242301152},
{344317, -508998624, 241940432},
{354148, -508593888, 241575024},
{364264, -508183232, 241204832},
{374658, -507766656, 240829856},
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