teensy-audio/data_windows.c

/* Audio Library for Teensy 3.X
 * Copyright (c) 2014, Paul Stoffregen, paul@pjrc.com
 *
 * Development of this audio library was funded by PJRC.COM, LLC by sales of
 * Teensy and Audio Adaptor boards.  Please support PJRC's efforts to develop
 * open source software by purchasing Teensy or other PJRC products.
 *
 * Permission is hereby granted, free of charge, to any person obtaining a copy
 * of this software and associated documentation files (the "Software"), to deal
 * in the Software without restriction, including without limitation the rights
 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
 * copies of the Software, and to permit persons to whom the Software is
 * furnished to do so, subject to the following conditions:
 *
 * The above copyright notice, development funding notice, and this permission
 * notice shall be included in all copies or substantial portions of the Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
 * THE SOFTWARE.
 */

#include <stdint.h>

const int16_t AudioWindowHanning256[] __attribute__ ((aligned (4))) = {
     0,     5,    20,    45,    80,   124,   179,   243,   317,   401,
   495,   598,   711,   833,   965,  1106,  1257,  1416,  1585,  1763,
  1949,  2145,  2349,  2561,  2782,  3011,  3249,  3494,  3747,  4008,
  4276,  4552,  4834,  5124,  5421,  5724,  6034,  6350,  6672,  7000,
  7334,  7673,  8018,  8367,  8722,  9081,  9445,  9812, 10184, 10560,
 10939, 11321, 11707, 12095, 12486, 12879, 13274, 13672, 14070, 14471,
 14872, 15275, 15678, 16081, 16485, 16889, 17292, 17695, 18097, 18498,
 18897, 19295, 19692, 20086, 20478, 20868, 21255, 21639, 22019, 22397,
 22770, 23140, 23506, 23867, 24224, 24576, 24923, 25265, 25602, 25932,
 26258, 26577, 26890, 27196, 27496, 27789, 28076, 28355, 28627, 28892,
 29148, 29398, 29639, 29872, 30097, 30314, 30522, 30722, 30913, 31095,
 31268, 31432, 31588, 31733, 31870, 31997, 32115, 32223, 32321, 32410,
 32489, 32558, 32618, 32667, 32707, 32737, 32757, 32767, 32767, 32757,
 32737, 32707, 32667, 32618, 32558, 32489, 32410, 32321, 32223, 32115,
 31997, 31870, 31733, 31588, 31432, 31268, 31095, 30913, 30722, 30522,
 30314, 30097, 29872, 29639, 29398, 29148, 28892, 28627, 28355, 28076,
 27789, 27496, 27196, 26890, 26577, 26258, 25932, 25602, 25265, 24923,
 24576, 24224, 23867, 23506, 23140, 22770, 22397, 22019, 21639, 21255,
 20868, 20478, 20086, 19692, 19295, 18897, 18498, 18097, 17695, 17292,
 16889, 16485, 16081, 15678, 15275, 14872, 14471, 14070, 13672, 13274,
 12879, 12486, 12095, 11707, 11321, 10939, 10560, 10184,  9812,  9445,
  9081,  8722,  8367,  8018,  7673,  7334,  7000,  6672,  6350,  6034,
  5724,  5421,  5124,  4834,  4552,  4276,  4008,  3747,  3494,  3249,
  3011,  2782,  2561,  2349,  2145,  1949,  1763,  1585,  1416,  1257,
  1106,   965,   833,   711,   598,   495,   401,   317,   243,   179,
   124,    80,    45,    20,     5,     0,
};

const int16_t AudioWindowBartlett256[] __attribute__ ((aligned (4))) = {
   128,   384,   640,   896,  1152,  1408,  1664,  1920,  2176,  2432,
  2688,  2944,  3200,  3456,  3712,  3968,  4224,  4480,  4736,  4992,
  5248,  5504,  5760,  6016,  6272,  6528,  6784,  7040,  7296,  7552,
  7808,  8064,  8320,  8576,  8832,  9088,  9344,  9600,  9856, 10112,
 10368, 10624, 10880, 11136, 11392, 11648, 11904, 12160, 12416, 12672,
 12928, 13184, 13440, 13696, 13952, 14208, 14464, 14720, 14976, 15232,
 15488, 15744, 16000, 16256, 16512, 16768, 17024, 17280, 17536, 17792,
 18048, 18304, 18560, 18816, 19072, 19328, 19584, 19840, 20096, 20352,
 20608, 20864, 21120, 21376, 21632, 21888, 22144, 22400, 22656, 22912,
 23168, 23424, 23680, 23936, 24192, 24448, 24704, 24960, 25216, 25472,
 25728, 25984, 26240, 26496, 26752, 27008, 27264, 27520, 27776, 28032,
 28288, 28544, 28800, 29056, 29312, 29568, 29824, 30080, 30336, 30592,
 30848, 31104, 31360, 31616, 31872, 32128, 32384, 32640, 32640, 32384,
 32128, 31872, 31616, 31360, 31104, 30848, 30592, 30336, 30080, 29824,
 29568, 29312, 29056, 28800, 28544, 28288, 28032, 27776, 27520, 27264,
 27008, 26752, 26496, 26240, 25984, 25728, 25472, 25216, 24960, 24704,
 24448, 24192, 23936, 23680, 23424, 23168, 22912, 22656, 22400, 22144,
 21888, 21632, 21376, 21120, 20864, 20608, 20352, 20096, 19840, 19584,
 19328, 19072, 18816, 18560, 18304, 18048, 17792, 17536, 17280, 17024,
 16768, 16512, 16256, 16000, 15744, 15488, 15232, 14976, 14720, 14464,
 14208, 13952, 13696, 13440, 13184, 12928, 12672, 12416, 12160, 11904,
 11648, 11392, 11136, 10880, 10624, 10368, 10112,  9856,  9600,  9344,
  9088,  8832,  8576,  8320,  8064,  7808,  7552,  7296,  7040,  6784,
  6528,  6272,  6016,  5760,  5504,  5248,  4992,  4736,  4480,  4224,
  3968,  3712,  3456,  3200,  2944,  2688,  2432,  2176,  1920,  1664,
  1408,  1152,   896,   640,   384,   128,
};

const int16_t AudioWindowBlackman256[] __attribute__ ((aligned (4))) = {
     0,     2,     7,    16,    29,    45,    65,    89,   116,   148,
   183,   222,   266,   314,   366,   422,   483,   549,   620,   695,
   776,   862,   953,  1050,  1153,  1261,  1376,  1496,  1623,  1757,
  1897,  2043,  2197,  2358,  2526,  2701,  2883,  3074,  3272,  3477,
  3691,  3912,  4142,  4380,  4626,  4880,  5142,  5413,  5692,  5979,
  6275,  6579,  6891,  7211,  7540,  7876,  8220,  8572,  8932,  9299,
  9674, 10056, 10445, 10840, 11242, 11651, 12065, 12485, 12911, 13342,
 13778, 14218, 14662, 15111, 15563, 16017, 16475, 16935, 17397, 17860,
 18324, 18789, 19253, 19718, 20182, 20644, 21104, 21563, 22018, 22470,
 22919, 23363, 23802, 24237, 24665, 25087, 25503, 25911, 26312, 26704,
 27088, 27462, 27828, 28183, 28527, 28861, 29183, 29494, 29793, 30079,
 30352, 30613, 30859, 31092, 31311, 31515, 31705, 31880, 32039, 32183,
 32312, 32425, 32522, 32603, 32668, 32717, 32750, 32766, 32766, 32750,
 32717, 32668, 32603, 32522, 32425, 32312, 32183, 32039, 31880, 31705,
 31515, 31311, 31092, 30859, 30613, 30352, 30079, 29793, 29494, 29183,
 28861, 28527, 28183, 27828, 27462, 27088, 26704, 26312, 25911, 25503,
 25087, 24665, 24237, 23802, 23363, 22919, 22470, 22018, 21563, 21104,
 20644, 20182, 19718, 19253, 18789, 18324, 17860, 17397, 16935, 16475,
 16017, 15563, 15111, 14662, 14218, 13778, 13342, 12911, 12485, 12065,
 11651, 11242, 10840, 10445, 10056,  9674,  9299,  8932,  8572,  8220,
  7876,  7540,  7211,  6891,  6579,  6275,  5979,  5692,  5413,  5142,
  4880,  4626,  4380,  4142,  3912,  3691,  3477,  3272,  3074,  2883,
  2701,  2526,  2358,  2197,  2043,  1897,  1757,  1623,  1496,  1376,
  1261,  1153,  1050,   953,   862,   776,   695,   620,   549,   483,
   422,   366,   314,   266,   222,   183,   148,   116,    89,    65,
    45,    29,    16,     7,     2,     0,
};

const int16_t AudioWindowFlattop256[] __attribute__ ((aligned (4))) = {
     0,     0,    -1,    -3,    -6,    -9,   -14,   -20,   -27,   -35,
   -45,   -56,   -68,   -83,   -99,  -117,  -137,  -160,  -185,  -213,
  -243,  -276,  -312,  -351,  -393,  -438,  -487,  -538,  -593,  -651,
  -713,  -777,  -844,  -914,  -987, -1062, -1139, -1218, -1298, -1380,
 -1462, -1544, -1626, -1707, -1787, -1865, -1939, -2010, -2077, -2139,
 -2194, -2243, -2284, -2316, -2339, -2351, -2352, -2339, -2314, -2273,
 -2217, -2144, -2054, -1945, -1817, -1668, -1498, -1306, -1090,  -851,
  -588,  -300,    13,   352,   718,  1111,  1530,  1976,  2449,  2949,
  3475,  4027,  4605,  5209,  5837,  6489,  7163,  7860,  8577,  9313,
 10068, 10840, 11626, 12426, 13238, 14059, 14889, 15724, 16563, 17404,
 18244, 19082, 19914, 20740, 21555, 22358, 23147, 23920, 24673, 25405,
 26113, 26796, 27451, 28076, 28669, 29228, 29752, 30238, 30685, 31092,
 31458, 31780, 32058, 32291, 32479, 32620, 32715, 32762, 32762, 32715,
 32620, 32479, 32291, 32058, 31780, 31458, 31092, 30685, 30238, 29752,
 29228, 28669, 28076, 27451, 26796, 26113, 25405, 24673, 23920, 23147,
 22358, 21555, 20740, 19914, 19082, 18244, 17404, 16563, 15724, 14889,
 14059, 13238, 12426, 11626, 10840, 10068,  9313,  8577,  7860,  7163,
  6489,  5837,  5209,  4605,  4027,  3475,  2949,  2449,  1976,  1530,
  1111,   718,   352,    13,  -300,  -588,  -851, -1090, -1306, -1498,
 -1668, -1817, -1945, -2054, -2144, -2217, -2273, -2314, -2339, -2352,
 -2351, -2339, -2316, -2284, -2243, -2194, -2139, -2077, -2010, -1939,
 -1865, -1787, -1707, -1626, -1544, -1462, -1380, -1298, -1218, -1139,
 -1062,  -987,  -914,  -844,  -777,  -713,  -651,  -593,  -538,  -487,
  -438,  -393,  -351,  -312,  -276,  -243,  -213,  -185,  -160,  -137,
  -117,   -99,   -83,   -68,   -56,   -45,   -35,   -27,   -20,   -14,
    -9,    -6,    -3,    -1,     0,     0,
};

const int16_t AudioWindowBlackmanHarris256[] __attribute__ ((aligned (4))) = {
     2,     2,     3,     5,     7,     9,    13,    17,    22,    27,
    34,    42,    51,    61,    73,    86,   101,   118,   137,   158,
   181,   207,   235,   267,   301,   339,   381,   427,   476,   530,
   589,   652,   721,   795,   875,   961,  1053,  1151,  1257,  1369,
  1489,  1617,  1752,  1896,  2049,  2210,  2380,  2560,  2749,  2948,
  3156,  3375,  3605,  3845,  4096,  4357,  4630,  4914,  5209,  5516,
  5833,  6162,  6503,  6855,  7218,  7592,  7978,  8374,  8781,  9199,
  9628, 10066, 10514, 10972, 11439, 11915, 12400, 12892, 13392, 13899,
 14413, 14932, 15457, 15987, 16521, 17058, 17599, 18141, 18685, 19229,
 19774, 20318, 20860, 21400, 21936, 22468, 22996, 23518, 24033, 24541,
 25041, 25532, 26012, 26482, 26941, 27387, 27821, 28240, 28645, 29034,
 29408, 29765, 30104, 30426, 30728, 31012, 31276, 31520, 31743, 31945,
 32126, 32284, 32421, 32535, 32627, 32696, 32742, 32765, 32765, 32742,
 32696, 32627, 32535, 32421, 32284, 32126, 31945, 31743, 31520, 31276,
 31012, 30728, 30426, 30104, 29765, 29408, 29034, 28645, 28240, 27821,
 27387, 26941, 26482, 26012, 25532, 25041, 24541, 24033, 23518, 22996,
 22468, 21936, 21400, 20860, 20318, 19774, 19229, 18685, 18141, 17599,
 17058, 16521, 15987, 15457, 14932, 14413, 13899, 13392, 12892, 12400,
 11915, 11439, 10972, 10514, 10066,  9628,  9199,  8781,  8374,  7978,
  7592,  7218,  6855,  6503,  6162,  5833,  5516,  5209,  4914,  4630,
  4357,  4096,  3845,  3605,  3375,  3156,  2948,  2749,  2560,  2380,
  2210,  2049,  1896,  1752,  1617,  1489,  1369,  1257,  1151,  1053,
   961,   875,   795,   721,   652,   589,   530,   476,   427,   381,
   339,   301,   267,   235,   207,   181,   158,   137,   118,   101,
    86,    73,    61,    51,    42,    34,    27,    22,    17,    13,
     9,     7,     5,     3,     2,     2,
};

const int16_t AudioWindowNuttall256[] __attribute__ ((aligned (4))) = {
     0,     0,     1,     2,     4,     6,     9,    13,    17,    22,
    28,    35,    43,    52,    62,    74,    87,   102,   119,   138,
   160,   183,   210,   239,   271,   306,   345,   388,   434,   485,
   540,   600,   665,   735,   811,   893,   981,  1075,  1176,  1284,
  1400,  1523,  1654,  1793,  1940,  2097,  2262,  2437,  2621,  2815,
  3019,  3233,  3458,  3693,  3939,  4196,  4465,  4744,  5035,  5338,
  5651,  5977,  6314,  6663,  7023,  7394,  7777,  8171,  8577,  8993,
  9420,  9857, 10305, 10762, 11229, 11705, 12190, 12683, 13184, 13693,
 14208, 14730, 15257, 15789, 16326, 16867, 17411, 17958, 18506, 19055,
 19604, 20153, 20700, 21245, 21787, 22325, 22858, 23386, 23908, 24422,
 24927, 25424, 25911, 26388, 26853, 27305, 27744, 28170, 28581, 28976,
 29355, 29717, 30062, 30388, 30696, 30984, 31252, 31499, 31726, 31932,
 32115, 32276, 32415, 32532, 32625, 32695, 32742, 32765, 32765, 32742,
 32695, 32625, 32532, 32415, 32276, 32115, 31932, 31726, 31499, 31252,
 30984, 30696, 30388, 30062, 29717, 29355, 28976, 28581, 28170, 27744,
 27305, 26853, 26388, 25911, 25424, 24927, 24422, 23908, 23386, 22858,
 22325, 21787, 21245, 20700, 20153, 19604, 19055, 18506, 17958, 17411,
 16867, 16326, 15789, 15257, 14730, 14208, 13693, 13184, 12683, 12190,
 11705, 11229, 10762, 10305,  9857,  9420,  8993,  8577,  8171,  7777,
  7394,  7023,  6663,  6314,  5977,  5651,  5338,  5035,  4744,  4465,
  4196,  3939,  3693,  3458,  3233,  3019,  2815,  2621,  2437,  2262,
  2097,  1940,  1793,  1654,  1523,  1400,  1284,  1176,  1075,   981,
   893,   811,   735,   665,   600,   540,   485,   434,   388,   345,
   306,   271,   239,   210,   183,   160,   138,   119,   102,    87,
    74,    62,    52,    43,    35,    28,    22,    17,    13,     9,
     6,     4,     2,     1,     0,     0,
};

const int16_t AudioWindowBlackmanNuttall256[] __attribute__ ((aligned (4))) = {
    12,    12,    13,    15,    18,    22,    26,    32,    38,    46,
    54,    64,    76,    89,   103,   119,   137,   158,   180,   205,
   232,   262,   295,   331,   371,   414,   461,   512,   567,   627,
   691,   761,   836,   916,  1002,  1095,  1193,  1299,  1411,  1531,
  1658,  1793,  1935,  2086,  2246,  2414,  2592,  2778,  2974,  3180,
  3396,  3621,  3857,  4104,  4361,  4628,  4907,  5196,  5497,  5808,
  6130,  6464,  6808,  7164,  7530,  7908,  8296,  8694,  9103,  9523,
  9952, 10391, 10839, 11296, 11763, 12237, 12720, 13210, 13707, 14211,
 14721, 15236, 15757, 16281, 16810, 17342, 17876, 18412, 18949, 19487,
 20024, 20560, 21094, 21625, 22153, 22677, 23196, 23709, 24215, 24714,
 25204, 25686, 26157, 26618, 27068, 27505, 27930, 28341, 28737, 29118,
 29484, 29833, 30165, 30479, 30775, 31052, 31310, 31549, 31767, 31964,
 32141, 32296, 32429, 32541, 32630, 32698, 32743, 32765, 32765, 32743,
 32698, 32630, 32541, 32429, 32296, 32141, 31964, 31767, 31549, 31310,
 31052, 30775, 30479, 30165, 29833, 29484, 29118, 28737, 28341, 27930,
 27505, 27068, 26618, 26157, 25686, 25204, 24714, 24215, 23709, 23196,
 22677, 22153, 21625, 21094, 20560, 20024, 19487, 18949, 18412, 17876,
 17342, 16810, 16281, 15757, 15236, 14721, 14211, 13707, 13210, 12720,
 12237, 11763, 11296, 10839, 10391,  9952,  9523,  9103,  8694,  8296,
  7908,  7530,  7164,  6808,  6464,  6130,  5808,  5497,  5196,  4907,
  4628,  4361,  4104,  3857,  3621,  3396,  3180,  2974,  2778,  2592,
  2414,  2246,  2086,  1935,  1793,  1658,  1531,  1411,  1299,  1193,
  1095,  1002,   916,   836,   761,   691,   627,   567,   512,   461,
   414,   371,   331,   295,   262,   232,   205,   180,   158,   137,
   119,   103,    89,    76,    64,    54,    46,    38,    32,    26,
    22,    18,    15,    13,    12,    12,
};

const int16_t AudioWindowWelch256[] __attribute__ ((aligned (4))) = {
   256,   764,  1268,  1768,  2264,  2756,  3244,  3728,  4208,  4684,
  5156,  5624,  6088,  6548,  7004,  7456,  7904,  8348,  8788,  9224,
  9656, 10084, 10508, 10928, 11344, 11756, 12164, 12568, 12968, 13364,
 13756, 14144, 14528, 14908, 15284, 15656, 16024, 16388, 16748, 17104,
 17456, 17804, 18148, 18488, 18824, 19156, 19484, 19808, 20128, 20444,
 20756, 21064, 21368, 21668, 21964, 22256, 22544, 22828, 23108, 23384,
 23656, 23924, 24188, 24448, 24704, 24956, 25204, 25448, 25688, 25924,
 26156, 26384, 26608, 26828, 27044, 27256, 27464, 27668, 27868, 28064,
 28256, 28444, 28628, 28808, 28984, 29156, 29324, 29488, 29648, 29804,
 29956, 30104, 30248, 30388, 30524, 30656, 30784, 30908, 31028, 31144,
 31256, 31364, 31468, 31568, 31664, 31756, 31844, 31928, 32008, 32084,
 32156, 32224, 32288, 32348, 32404, 32456, 32504, 32548, 32588, 32624,
 32656, 32684, 32708, 32728, 32744, 32756, 32764, 32767, 32767, 32764,
 32756, 32744, 32728, 32708, 32684, 32656, 32624, 32588, 32548, 32504,
 32456, 32404, 32348, 32288, 32224, 32156, 32084, 32008, 31928, 31844,
 31756, 31664, 31568, 31468, 31364, 31256, 31144, 31028, 30908, 30784,
 30656, 30524, 30388, 30248, 30104, 29956, 29804, 29648, 29488, 29324,
 29156, 28984, 28808, 28628, 28444, 28256, 28064, 27868, 27668, 27464,
 27256, 27044, 26828, 26608, 26384, 26156, 25924, 25688, 25448, 25204,
 24956, 24704, 24448, 24188, 23924, 23656, 23384, 23108, 22828, 22544,
 22256, 21964, 21668, 21368, 21064, 20756, 20444, 20128, 19808, 19484,
 19156, 18824, 18488, 18148, 17804, 17456, 17104, 16748, 16388, 16024,
 15656, 15284, 14908, 14528, 14144, 13756, 13364, 12968, 12568, 12164,
 11756, 11344, 10928, 10508, 10084,  9656,  9224,  8788,  8348,  7904,
  7456,  7004,  6548,  6088,  5624,  5156,  4684,  4208,  3728,  3244,
  2756,  2264,  1768,  1268,   764,   256,
};

const int16_t AudioWindowHamming256[] __attribute__ ((aligned (4))) = {
  2621,  2626,  2640,  2663,  2695,  2736,  2786,  2845,  2913,  2991,
  3077,  3172,  3276,  3388,  3509,  3639,  3778,  3925,  4080,  4243,
  4415,  4595,  4782,  4978,  5181,  5392,  5610,  5836,  6069,  6309,
  6555,  6809,  7069,  7336,  7609,  7888,  8173,  8464,  8760,  9062,
  9369,  9681,  9998, 10319, 10646, 10976, 11310, 11649, 11991, 12336,
 12685, 13037, 13391, 13749, 14108, 14470, 14834, 15199, 15566, 15935,
 16304, 16674, 17045, 17416, 17788, 18159, 18530, 18900, 19270, 19639,
 20007, 20373, 20738, 21101, 21461, 21820, 22176, 22529, 22879, 23226,
 23570, 23910, 24247, 24579, 24907, 25231, 25551, 25865, 26175, 26479,
 26778, 27072, 27360, 27642, 27918, 28188, 28451, 28708, 28958, 29202,
 29438, 29667, 29889, 30104, 30311, 30510, 30702, 30886, 31061, 31229,
 31388, 31539, 31682, 31816, 31942, 32059, 32167, 32266, 32357, 32439,
 32511, 32575, 32630, 32675, 32712, 32739, 32758, 32767, 32767, 32758,
 32739, 32712, 32675, 32630, 32575, 32511, 32439, 32357, 32266, 32167,
 32059, 31942, 31816, 31682, 31539, 31388, 31229, 31061, 30886, 30702,
 30510, 30311, 30104, 29889, 29667, 29438, 29202, 28958, 28708, 28451,
 28188, 27918, 27642, 27360, 27072, 26778, 26479, 26175, 25865, 25551,
 25231, 24907, 24579, 24247, 23910, 23570, 23226, 22879, 22529, 22176,
 21820, 21461, 21101, 20738, 20373, 20007, 19639, 19270, 18900, 18530,
 18159, 17788, 17416, 17045, 16674, 16304, 15935, 15566, 15199, 14834,
 14470, 14108, 13749, 13391, 13037, 12685, 12336, 11991, 11649, 11310,
 10976, 10646, 10319,  9998,  9681,  9369,  9062,  8760,  8464,  8173,
  7888,  7609,  7336,  7069,  6809,  6555,  6309,  6069,  5836,  5610,
  5392,  5181,  4978,  4782,  4595,  4415,  4243,  4080,  3925,  3778,
  3639,  3509,  3388,  3276,  3172,  3077,  2991,  2913,  2845,  2786,
  2736,  2695,  2663,  2640,  2626,  2621,
};

const int16_t AudioWindowCosine256[] __attribute__ ((aligned (4))) = {
     0,   404,   807,  1211,  1614,  2017,  2420,  2822,  3224,  3626,
  4027,  4427,  4827,  5226,  5624,  6021,  6417,  6813,  7207,  7600,
  7993,  8383,  8773,  9161,  9548,  9934, 10318, 10700, 11081, 11460,
 11837, 12213, 12586, 12958, 13328, 13696, 14061, 14425, 14786, 15145,
 15502, 15857, 16209, 16558, 16906, 17250, 17592, 17931, 18268, 18602,
 18932, 19261, 19586, 19908, 20227, 20543, 20856, 21166, 21472, 21776,
 22076, 22372, 22666, 22955, 23242, 23525, 23804, 24079, 24351, 24620,
 24884, 25145, 25402, 25655, 25904, 26149, 26391, 26628, 26861, 27090,
 27315, 27536, 27753, 27966, 28174, 28378, 28578, 28773, 28964, 29151,
 29333, 29510, 29684, 29852, 30017, 30176, 30331, 30482, 30628, 30769,
 30905, 31037, 31164, 31287, 31404, 31517, 31625, 31728, 31827, 31921,
 32009, 32093, 32172, 32247, 32316, 32380, 32440, 32494, 32544, 32588,
 32628, 32663, 32693, 32718, 32738, 32752, 32762, 32767, 32767, 32762,
 32752, 32738, 32718, 32693, 32663, 32628, 32588, 32544, 32494, 32440,
 32380, 32316, 32247, 32172, 32093, 32009, 31921, 31827, 31728, 31625,
 31517, 31404, 31287, 31164, 31037, 30905, 30769, 30628, 30482, 30331,
 30176, 30017, 29852, 29684, 29510, 29333, 29151, 28964, 28773, 28578,
 28378, 28174, 27966, 27753, 27536, 27315, 27090, 26861, 26628, 26391,
 26149, 25904, 25655, 25402, 25145, 24884, 24620, 24351, 24079, 23804,
 23525, 23242, 22955, 22666, 22372, 22076, 21776, 21472, 21166, 20856,
 20543, 20227, 19908, 19586, 19261, 18932, 18602, 18268, 17931, 17592,
 17250, 16906, 16558, 16209, 15857, 15502, 15145, 14786, 14425, 14061,
 13696, 13328, 12958, 12586, 12213, 11837, 11460, 11081, 10700, 10318,
  9934,  9548,  9161,  8773,  8383,  7993,  7600,  7207,  6813,  6417,
  6021,  5624,  5226,  4827,  4427,  4027,  3626,  3224,  2822,  2420,
  2017,  1614,  1211,   807,   404,     0,
};

const int16_t AudioWindowTukey256[] __attribute__ ((aligned (4))) = {
     0,    20,    80,   179,   317,   495,   711,   965,  1257,  1585,
  1949,  2349,  2782,  3249,  3747,  4276,  4834,  5421,  6034,  6672,
  7334,  8018,  8722,  9445, 10184, 10939, 11707, 12486, 13274, 14070,
 14872, 15678, 16485, 17292, 18097, 18897, 19692, 20478, 21255, 22019,
 22770, 23506, 24224, 24923, 25602, 26258, 26890, 27496, 28076, 28627,
 29148, 29639, 30097, 30522, 30913, 31268, 31588, 31870, 32115, 32321,
 32489, 32618, 32707, 32757, 32767, 32767, 32767, 32767, 32767, 32767,
 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767,
 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767,
 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767,
 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767,
 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767,
 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767,
 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767,
 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767,
 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767,
 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767,
 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767,
 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767, 32767,
 32767, 32767, 32757, 32707, 32618, 32489, 32321, 32115, 31870, 31588,
 31268, 30913, 30522, 30097, 29639, 29148, 28627, 28076, 27496, 26890,
 26258, 25602, 24923, 24224, 23506, 22770, 22019, 21255, 20478, 19692,
 18897, 18097, 17292, 16485, 15678, 14872, 14070, 13274, 12486, 11707,
 10939, 10184,  9445,  8722,  8018,  7334,  6672,  6034,  5421,  4834,
  4276,  3747,  3249,  2782,  2349,  1949,  1585,  1257,   965,   711,
   495,   317,   179,    80,    20,     0,
};

const int16_t AudioWindowHanning1024[] __attribute__ ((aligned (4))) = {
     0,     0,     1,     3,     5,     8,    11,    15,    20,    25,
    31,    37,    44,    52,    61,    69,    79,    89,   100,   111,
   123,   136,   149,   163,   178,   193,   208,   225,   242,   259,
   277,   296,   315,   335,   356,   377,   399,   421,   444,   468,
   492,   517,   542,   568,   595,   622,   650,   678,   707,   736,
   767,   797,   829,   860,   893,   926,   960,   994,  1029,  1064,
  1100,  1137,  1174,  1211,  1250,  1288,  1328,  1368,  1408,  1449,
  1491,  1533,  1576,  1619,  1663,  1708,  1753,  1798,  1844,  1891,
  1938,  1986,  2034,  2083,  2133,  2182,  2233,  2284,  2335,  2387,
  2440,  2493,  2547,  2601,  2656,  2711,  2766,  2823,  2879,  2937,
  2994,  3053,  3111,  3171,  3230,  3291,  3351,  3413,  3474,  3536,
  3599,  3662,  3726,  3790,  3855,  3920,  3985,  4051,  4118,  4185,
  4252,  4320,  4388,  4457,  4526,  4596,  4666,  4737,  4808,  4879,
  4951,  5023,  5096,  5169,  5243,  5317,  5391,  5466,  5541,  5617,
  5693,  5769,  5846,  5923,  6001,  6079,  6158,  6236,  6316,  6395,
  6475,  6555,  6636,  6717,  6799,  6880,  6962,  7045,  7128,  7211,
  7295,  7379,  7463,  7547,  7632,  7717,  7803,  7889,  7975,  8062,
  8148,  8236,  8323,  8411,  8499,  8587,  8676,  8765,  8854,  8944,
  9033,  9123,  9214,  9304,  9395,  9486,  9578,  9670,  9761,  9854,
  9946, 10039, 10132, 10225, 10318, 10412, 10505, 10599, 10694, 10788,
 10883, 10978, 11073, 11168, 11264, 11359, 11455, 11551, 11648, 11744,
 11841, 11937, 12034, 12131, 12229, 12326, 12424, 12521, 12619, 12717,
 12815, 12914, 13012, 13111, 13209, 13308, 13407, 13506, 13605, 13704,
 13804, 13903, 14003, 14102, 14202, 14302, 14401, 14501, 14601, 14701,
 14802, 14902, 15002, 15102, 15203, 15303, 15403, 15504, 15604, 15705,
 15806, 15906, 16007, 16107, 16208, 16309, 16409, 16510, 16610, 16711,
 16812, 16912, 17013, 17113, 17214, 17314, 17415, 17515, 17616, 17716,
 17816, 17916, 18017, 18117, 18217, 18317, 18416, 18516, 18616, 18716,
 18815, 18915, 19014, 19113, 19213, 19312, 19411, 19509, 19608, 19707,
 19805, 19904, 20002, 20100, 20198, 20296, 20393, 20491, 20588, 20685,
 20782, 20879, 20976, 21072, 21169, 21265, 21361, 21457, 21552, 21647,
 21743, 21838, 21932, 22027, 22121, 22216, 22309, 22403, 22497, 22590,
 22683, 22776, 22868, 22961, 23053, 23144, 23236, 23327, 23418, 23509,
 23599, 23690, 23780, 23869, 23959, 24048, 24136, 24225, 24313, 24401,
 24489, 24576, 24663, 24750, 24836, 24922, 25008, 25093, 25178, 25263,
 25347, 25431, 25515, 25599, 25682, 25764, 25847, 25929, 26010, 26091,
 26172, 26253, 26333, 26413, 26492, 26571, 26650, 26728, 26806, 26883,
 26960, 27037, 27113, 27189, 27265, 27340, 27414, 27488, 27562, 27636,
 27708, 27781, 27853, 27925, 27996, 28067, 28137, 28207, 28276, 28345,
 28414, 28482, 28550, 28617, 28683, 28750, 28815, 28881, 28946, 29010,
 29074, 29137, 29200, 29263, 29325, 29386, 29447, 29508, 29568, 29627,
 29686, 29745, 29803, 29860, 29917, 29974, 30029, 30085, 30140, 30194,
 30248, 30301, 30354, 30407, 30458, 30510, 30560, 30611, 30660, 30709,
 30758, 30806, 30853, 30900, 30947, 30993, 31038, 31083, 31127, 31170,
 31213, 31256, 31298, 31339, 31380, 31420, 31460, 31499, 31538, 31576,
 31613, 31650, 31686, 31722, 31757, 31791, 31825, 31859, 31891, 31924,
 31955, 31986, 32017, 32046, 32076, 32104, 32132, 32160, 32187, 32213,
 32239, 32264, 32288, 32312, 32335, 32358, 32380, 32402, 32422, 32443,
 32462, 32481, 32500, 32518, 32535, 32551, 32567, 32583, 32598, 32612,
 32625, 32638, 32651, 32662, 32673, 32684, 32694, 32703, 32712, 32720,
 32727, 32734, 32740, 32746, 32751, 32755, 32759, 32762, 32764, 32766,
 32767, 32767, 32767, 32767, 32766, 32764, 32762, 32759, 32755, 32751,
 32746, 32740, 32734, 32727, 32720, 32712, 32703, 32694, 32684, 32673,
 32662, 32651, 32638, 32625, 32612, 32598, 32583, 32567, 32551, 32535,
 32518, 32500, 32481, 32462, 32443, 32422, 32402, 32380, 32358, 32335,
 32312, 32288, 32264, 32239, 32213, 32187, 32160, 32132, 32104, 32076,
 32046, 32017, 31986, 31955, 31924, 31891, 31859, 31825, 31791, 31757,
 31722, 31686, 31650, 31613, 31576, 31538, 31499, 31460, 31420, 31380,
 31339, 31298, 31256, 31213, 31170, 31127, 31083, 31038, 30993, 30947,
 30900, 30853, 30806, 30758, 30709, 30660, 30611, 30560, 30510, 30458,
 30407, 30354, 30301, 30248, 30194, 30140, 30085, 30029, 29974, 29917,
 29860, 29803, 29745, 29686, 29627, 29568, 29508, 29447, 29386, 29325,
 29263, 29200, 29137, 29074, 29010, 28946, 28881, 28815, 28750, 28683,
 28617, 28550, 28482, 28414, 28345, 28276, 28207, 28137, 28067, 27996,
 27925, 27853, 27781, 27708, 27636, 27562, 27488, 27414, 27340, 27265,
 27189, 27113, 27037, 26960, 26883, 26806, 26728, 26650, 26571, 26492,
 26413, 26333, 26253, 26172, 26091, 26010, 25929, 25847, 25764, 25682,
 25599, 25515, 25431, 25347, 25263, 25178, 25093, 25008, 24922, 24836,
 24750, 24663, 24576, 24489, 24401, 24313, 24225, 24136, 24048, 23959,
 23869, 23780, 23690, 23599, 23509, 23418, 23327, 23236, 23144, 23053,
 22961, 22868, 22776, 22683, 22590, 22497, 22403, 22309, 22216, 22121,
 22027, 21932, 21838, 21743, 21647, 21552, 21457, 21361, 21265, 21169,
 21072, 20976, 20879, 20782, 20685, 20588, 20491, 20393, 20296, 20198,
 20100, 20002, 19904, 19805, 19707, 19608, 19509, 19411, 19312, 19213,
 19113, 19014, 18915, 18815, 18716, 18616, 18516, 18416, 18317, 18217,
 18117, 18017, 17916, 17816, 17716, 17616, 17515, 17415, 17314, 17214,
 17113, 17013, 16912, 16812, 16711, 16610, 16510, 16409, 16309, 16208,
 16107, 16007, 15906, 15806, 15705, 15604, 15504, 15403, 15303, 15203,
 15102, 15002, 14902, 14802, 14701, 14601, 14501, 14401, 14302, 14202,
 14102, 14003, 13903, 13804, 13704, 13605, 13506, 13407, 13308, 13209,
 13111, 13012, 12914, 12815, 12717, 12619, 12521, 12424, 12326, 12229,
 12131, 12034, 11937, 11841, 11744, 11648, 11551, 11455, 11359, 11264,
 11168, 11073, 10978, 10883, 10788, 10694, 10599, 10505, 10412, 10318,
 10225, 10132, 10039,  9946,  9854,  9761,  9670,  9578,  9486,  9395,
  9304,  9214,  9123,  9033,  8944,  8854,  8765,  8676,  8587,  8499,
  8411,  8323,  8236,  8148,  8062,  7975,  7889,  7803,  7717,  7632,
  7547,  7463,  7379,  7295,  7211,  7128,  7045,  6962,  6880,  6799,
  6717,  6636,  6555,  6475,  6395,  6316,  6236,  6158,  6079,  6001,
  5923,  5846,  5769,  5693,  5617,  5541,  5466,  5391,  5317,  5243,
  5169,  5096,  5023,  4951,  4879,  4808,  4737,  4666,  4596,  4526,
  4457,  4388,  4320,  4252,  4185,  4118,  4051,  3985,  3920,  3855,
  3790,  3726,  3662,  3599,  3536,  3474,  3413,  3351,  3291,  3230,
  3171,  3111,  3053,  2994,  2937,  2879,  2823,  2766,  2711,  2656,
  2601,  2547,  2493,  2440,  2387,  2335,  2284,  2233,  2182,  2133,
  2083,  2034,  1986,  1938,  1891,  1844,  1798,  1753,  1708,  1663,
  1619,  1576,  1533,  1491,  1449,  1408,  1368,  1328,  1288,  1250,
  1211,  1174,  1137,  1100,  1064,  1029,   994,   960,   926,   893,
   860,   829,   797,   767,   736,   707,   678,   650,   622,   595,
   568,   542,   517,   492,   468,   444,   421,   399,   377,   356,
   335,   315,   296,   277,   259,   242,   225,   208,   193,   178,
   163,   149,   136,   123,   111,   100,    89,    79,    69,    61,
    52,    44,    37,    31,    25,    20,    15,    11,     8,     5,
     3,     1,     0,     0,
};



/*
#! /usr/bin/perl

# http://en.wikipedia.org/wiki/Window_function

use Math::Trig ':pi';
$len = 256;

for ($i=0; $i < $len; $i++) {

	$name = "Hanning";
	$val = 0.5 * (1 - cos(2 * pi * $i / ($len -1)));

	#$name = "Bartlett";
	#$val = 1 - abs(($i - ($len - 1) / 2) / ($len / 2));

	#$name = "Blackman";
	#$a0 = (1 - 0.16) / 2;
	#$a1 = 0.5;
	#$a2 = 0.16 / 2;
	#$val = $a0 - $a1 * cos(2 * pi * $i / ($len -1)) + $a2 * cos(4 * pi * $i / ($len -1));

	#$name = "Flattop";
	#$a0 = 1;
	#$a1 = 1.93;
	#$a2 = 1.29;
	#$a3 = 0.388;
	#$a4 = 0.028;
	#$max = $a0 - $a1 * cos(pi) + $a2 * cos(2 * pi) - $a3 * cos(3 * pi) + $a4 * cos(4 * pi) ;
	#$val = $a0 - $a1 * cos(2 * pi * $i / ($len -1)) + $a2 * cos(4 * pi * $i / ($len -1));
	#$val += -1 * $a3 * cos(6 * pi * $i / ($len -1)) + $a4 * cos(8 * pi * $i / ($len -1));
	#$val /= $max;

	#$name = "BlackmanHarris";
	#$a0 = 0.35875;
	#$a1 = 0.48829;
	#$a2 = 0.14128;
	#$a3 = 0.01168;
	#$a4 = 0;
	#$val = $a0 - $a1 * cos(2 * pi * $i / ($len -1)) + $a2 * cos(4 * pi * $i / ($len -1));
	#$val += -1 * $a3 * cos(6 * pi * $i / ($len -1)) + $a4 * cos(8 * pi * $i / ($len -1));

	#$name = "Nuttall";
	#$a0 = 0.355768;
	#$a1 = 0.487396;
	#$a2 = 0.144232;
	#$a3 = 0.012604;
	#$a4 = 0;
	#$val = $a0 - $a1 * cos(2 * pi * $i / ($len -1)) + $a2 * cos(4 * pi * $i / ($len -1));
	#$val += -1 * $a3 * cos(6 * pi * $i / ($len -1)) + $a4 * cos(8 * pi * $i / ($len -1));

	#$name = "BlackmanNuttall";
	#$a0 = 0.3635819;
	#$a1 = 0.4891775;
	#$a2 = 0.1365995;
	#$a3 = 0.0106411;
	#$a4 = 0;
	#$val = $a0 - $a1 * cos(2 * pi * $i / ($len -1)) + $a2 * cos(4 * pi * $i / ($len -1));
	#$val += -1 * $a3 * cos(6 * pi * $i / ($len -1)) + $a4 * cos(8 * pi * $i / ($len -1));

	#$name = "Welch";
	#$val = 1 - (($i - ($len - 1) / 2) / ($len / 2)) ** 2;

	#$name = "Hamming";
	#$val = 0.54 - 0.46 * cos(2 * pi * $i / ($len -1));

	#$name = "Cosine";
	#$val = cos((pi * $i / ($len -1)) - (pi / 2));

	#$name = "Tukey";
	#$a = 0.5;
	#if ($i <= ($a * ($len - 1) / 2)) {
	#	$val = 0.5 * (1 + cos(pi * ((2 * $i / ($a * ($len - 1))) - 1)));
	#} elsif ($i < (($len - 1) * (1 - $a / 2))) {
	#	$val = 0.99999;
	#} else {
	#	$val = 0.5 * (1 + cos(pi * ((2 * $i / ($a * ($len - 1))) - (2 / $a) + 1)));
	#}

	#$name = "KaiserBessel";
	# TODO: what is the full equation, with the "zero-th order modified Bessel function"?

	$n = int($val * 32768 + 0.5);
	$n = 32767 if $n > 32767;

	if (0) {
		print $i;
		print "\t";
		printf "%9.6f", $val;
		print "\t";
		print $n;
		print "\n";
	} else {
		if ($i == 0) {
			print "const int16_t AudioWindow${name}${len}[] __attribute__ ((aligned (4))) = {\n";
		}
		printf "%6d", $n;
		print "," if ($i < $len);
		print "\n" if ($i % 10) == 9;
	}
}
print "\n" unless ($len % 10) == 9;
print "};\n";
*/