root/modules/audio_filter/resampler/bandlimited.h

/*****************************************************************************
 * bandlimited.h : bandlimited interpolation resampler
 *****************************************************************************
 * Copyright (C) 2002 the VideoLAN team
 * $Id$
 *
 * Authors: Gildas Bazin <gbazin@netcourrier.com>
 *
 * This program is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 2 of the License, or
 * (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software
 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston MA 02110-1301, USA.
 *****************************************************************************/

/* Conversion constants */
#define Nhc       8
#define Npc      (1<<Nhc)

/* Description of constants:
 *
 * Npc - is the number of look-up values available for the lowpass filter
 *    between the beginning of its impulse response and the "cutoff time"
 *    of the filter.  The cutoff time is defined as the reciprocal of the
 *    lowpass-filter cut off frequence in Hz.  For example, if the
 *    lowpass filter were a sinc function, Npc would be the index of the
 *    impulse-response lookup-table corresponding to the first zero-
 *    crossing of the sinc function.  (The inverse first zero-crossing
 *    time of a sinc function equals its nominal cutoff frequency in Hz.)
 *    Npc must be a power of 2 due to the details of the current
 *    implementation. The default value of 512 is sufficiently high that
 *    using linear interpolation to fill in between the table entries
 *    gives approximately 16-bit accuracy in filter coefficients.
 *
 * Nhc - is log base 2 of Npc.
 */

#define SMALL_FILTER_NMULT ((int16_t)13)
#define SMALL_FILTER_SCALE 13128 /* Unity-gain scale factor */
#define SMALL_FILTER_NWING 1536 /* Filter table length */
static const float SMALL_FILTER_FLOAT_IMP[] /* Impulse response */ = {
0.900000,
0.899980,
0.899920,
0.899821,
0.899681,
0.899502,
0.899283,
0.899024,
0.898726,
0.898388,
0.898010,
0.897592,
0.897135,
0.896638,
0.896102,
0.895526,
0.894911,
0.894256,
0.893562,
0.892829,
0.892056,
0.891244,
0.890394,
0.889504,
0.888575,
0.887608,
0.886602,
0.885557,
0.884474,
0.883352,
0.882192,
0.880993,
0.879756,
0.878482,
0.877169,
0.875818,
0.874430,
0.873004,
0.871541,
0.870040,
0.868502,
0.866927,
0.865315,
0.863667,
0.861981,
0.860259,
0.858501,
0.856707,
0.854876,
0.853010,
0.851108,
0.849170,
0.847197,
0.845189,
0.843146,
0.841067,
0.838954,
0.836807,
0.834625,
0.832409,
0.830160,
0.827876,
0.825559,
0.823209,
0.820825,
0.818408,
0.815959,
0.813477,
0.810963,
0.808417,
0.805839,
0.803229,
0.800588,
0.797916,
0.795213,
0.792479,
0.789714,
0.786919,
0.784095,
0.781240,
0.778356,
0.775442,
0.772500,
0.769529,
0.766529,
0.763501,
0.760444,
0.757361,
0.754249,
0.751110,
0.747945,
0.744753,
0.741534,
0.738289,
0.735018,
0.731721,
0.728400,
0.725053,
0.721681,
0.718285,
0.714865,
0.711420,
0.707953,
0.704461,
0.700947,
0.697410,
0.693851,
0.690269,
0.686665,
0.683040,
0.679394,
0.675727,
0.672039,
0.668331,
0.664602,
0.660854,
0.657087,
0.653300,
0.649495,
0.645671,
0.641829,
0.637969,
0.634091,
0.630197,
0.626285,
0.622357,
0.618412,
0.614452,
0.610476,
0.606485,
0.602478,
0.598457,
0.594422,
0.590373,
0.586310,
0.582234,
0.578144,
0.574042,
0.569928,
0.565801,
0.561663,
0.557514,
0.553353,
0.549182,
0.545001,
0.540809,
0.536607,
0.532397,
0.528177,
0.523948,
0.519711,
0.515466,
0.511214,
0.506954,
0.502686,
0.498413,
0.494132,
0.489846,
0.485554,
0.481256,
0.476954,
0.472646,
0.468335,
0.464019,
0.459699,
0.455377,
0.451050,
0.446722,
0.442390,
0.438057,
0.433722,
0.429385,
0.425048,
0.420709,
0.416370,
0.412031,
0.407692,
0.403354,
0.399016,
0.394679,
0.390344,
0.386011,
0.381680,
0.377351,
0.373025,
0.368702,
0.364382,
0.360066,
0.355754,
0.351446,
0.347143,
0.342844,
0.338551,
0.334264,
0.329982,
0.325706,
0.321437,
0.317174,
0.312918,
0.308670,
0.304429,
0.300197,
0.295972,
0.291756,
0.287548,
0.283350,
0.279161,
0.274982,
0.270812,
0.266653,
0.262504,
0.258366,
0.254239,
0.250123,
0.246018,
0.241926,
0.237846,
0.233777,
0.229722,
0.225679,
0.221650,
0.217634,
0.213632,
0.209643,
0.205669,
0.201709,
0.197764,
0.193833,
0.189918,
0.186018,
0.182134,
0.178265,
0.174413,
0.170577,
0.166758,
0.162955,
0.159169,
0.155401,
0.151650,
0.147916,
0.144201,
0.140503,
0.136824,
0.133163,
0.129521,
0.125898,
0.122294,
0.118710,
0.115145,
0.111599,
0.108073,
0.104568,
0.101083,
0.097618,
0.094174,
0.090750,
0.087348,
0.083966,
0.080606,
0.077268,
0.073951,
0.070656,
0.067383,
0.064132,
0.060903,
0.057697,
0.054513,
0.051352,
0.048214,
0.045099,
0.042006,
0.038938,
0.035892,
0.032870,
0.029872,
0.026898,
0.023947,
0.021021,
0.018118,
0.015240,
0.012386,
0.009557,
0.006752,
0.003972,
0.001217,
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-0.119042,
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-0.121251,
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-0.123360,
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-0.125368,
-0.126334,
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-0.132404,
-0.133174,
-0.133919,
-0.134640,
-0.135337,
-0.136010,
-0.136659,
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-0.137886,
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-0.144830,
-0.145008,
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-0.145416,
-0.145511,
-0.145585,
-0.145639,
-0.145673,
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-0.143879,
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-0.056500,
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-0.053206,
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-0.049922,
-0.048831,
-0.047741,
-0.046654,
-0.045568,
-0.044485,
-0.043403,
-0.042325,
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-0.039105,
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-0.036973,
-0.035912,
-0.034854,
-0.033799,
-0.032749,
-0.031701,
-0.030658,
-0.029619,
-0.028583,
-0.027552,
-0.026525,
-0.025502,
-0.024484,
-0.023471,
-0.022462,
-0.021458,
-0.020459,
-0.019464,
-0.018475,
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-0.015539,
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-0.013610,
-0.012653,
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-0.009818,
-0.008885,
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-0.007038,
-0.006123,
-0.005215,
-0.004313,
-0.003418,
-0.002530,
-0.001648,
-0.000772,
0.000096,
0.000958,
0.001813,
0.002660,
0.003501,
0.004335,
0.005161,
0.005980,
0.006792,
0.007597,
0.008394,
0.009183,
0.009965,
0.010740,
0.011507,
0.012266,
0.013018,
0.013762,
0.014498,
0.015226,
0.015946,
0.016658,
0.017363,
0.018059,
0.018747,
0.019428,
0.020100,
0.020764,
0.021420,
0.022067,
0.022707,
0.023338,
0.023961,
0.024575,
0.025181,
0.025779,
0.026369,
0.026950,
0.027523,
0.028087,
0.028643,
0.029191,
0.029730,
0.030260,
0.030782,
0.031296,
0.031801,
0.032297,
0.032785,
0.033265,
0.033736,
0.034199,
0.034653,
0.035098,
0.035536,
0.035964,
0.036384,
0.036796,
0.037199,
0.037594,
0.037980,
0.038358,
0.038727,
0.039088,
0.039441,
0.039785,
0.040121,
0.040448,
0.040768,
0.041078,
0.041381,
0.041675,
0.041961,
0.042239,
0.042509,
0.042770,
0.043024,
0.043269,
0.043506,
0.043735,
0.043956,
0.044169,
0.044375,
0.044572,
0.044761,
0.044943,
0.045116,
0.045282,
0.045440,
0.045591,
0.045734,
0.045869,
0.045996,
0.046117,
0.046229,
0.046334,
0.046432,
0.046522,
0.046605,
0.046681,
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0.046811,
0.046865,
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0.047012,
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0.047044,
0.047050,
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0.047042,
0.047028,
0.047007,
0.046980,
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0.046907,
0.046860,
0.046808,
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0.045449,
0.045310,
0.045165,
0.045016,
0.044861,
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0.039247,
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0.038707,
0.038432,
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0.034282,
0.033967,
0.033650,
0.033330,
0.033009,
0.032686,
0.032361,
0.032034,
0.031705,
0.031375,
0.031043,
0.030709,
0.030374,
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0.028678,
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0.027992,
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0.025910,
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0.024508,
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0.023805,
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0.022395,
0.022042,
0.021689,
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0.020630,
0.020278,
0.019926,
0.019573,
0.019222,
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0.017121,
0.016773,
0.016426,
0.016080,
0.015734,
0.015389,
0.015045,
0.014702,
0.014360,
0.014019,
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0.009057,
0.008738,
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-0.012346,
-0.012335,
-0.012323,
-0.012308,
-0.012292,
-0.012274,
-0.012254,
-0.012232,
-0.012209,
-0.012184,
-0.012157,
-0.012129,
-0.012099,
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-0.011965,
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-0.011888,
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-0.011806,
-0.011763,
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-0.011672,
-0.011625,
-0.011576,
-0.011527,
-0.011475,
-0.011423,
-0.011369,
-0.011314,
-0.011258,
-0.011201,
-0.011143,
-0.011083,
-0.011022,
-0.010961,
-0.010898,
-0.010834,
-0.010769,
-0.010704,
-0.010637,
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-0.008200,
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-0.003636,
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-0.003310,
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-0.002913,
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-0.002758,
-0.002681,
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-0.001195,
-0.001131,
-0.001068,
-0.001005,
-0.000943,
-0.000881,
-0.000821,
-0.000760,
-0.000701,
-0.000642,
-0.000584,
-0.000526,
-0.000470,
-0.000413,
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-0.000303,
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-0.000196,
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-0.000091,
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0.000011,
0.000061,
0.000111,
0.000159,
0.000207,
0.000254,
0.000301,
0.000347,
0.000392,
0.000437,
0.000480,
0.000523,
0.000566,
0.000608,
0.000649,
0.000689,
0.000729,
0.000768,
0.000806,
0.000844,
0.000881,
0.000917,
0.000953,
0.000988,
0.001022,
0.001056,
0.001089,
0.001121,
0.001153,
0.001184,
0.001214,
0.001244,
0.001273,
0.001302,
0.001329,
0.001356,
0.001383,
0.001409,
0.001434,
0.001459,
0.001483,
0.001506,
0.001529,
0.001551,
0.001573,
0.001594,
0.001614,
0.001634,
0.001653,
0.001671,
0.001689,
0.001707,
0.001724,
0.001740,
0.001756,
0.001771,
0.001785,
0.001799,
0.001813,
0.001826,
0.001838,
0.001850,
0.001862,
0.001872,
0.001883,
0.001893,
0.001902,
0.001911,
0.001919,
0.001927,
0.001934,
0.001941,
0.001947,
0.001953,
0.001959,
0.001964,
0.001968,
0.001972,
0.001976,
0.001979,
0.001982,
0.001984,
0.001986,
0.001988,
0.001989,
0.001990,
0.001990,
0.001990,
0.001989,
0.001988,
0.001987,
0.001986,
0.001984,
0.001981,
0.001979,
0.001976,
0.001972,
0.001968,
0.001964,
0.001960,
0.001955,
0.001950,
0.001945,
0.001939,
0.001933,
0.001927,
0.001921,
0.001914,
0.001907,
0.001900,
0.001892,
0.001884,
0.001876,
0.001868,
0.001859,
0.001850,
0.001841,
0.001832,
0.001822,
0.001813,
0.001803,
0.001792,
0.001782,
0.001772,
0.001761,
0.001750,
0.001739,
0.001727,
0.001716,
0.001704,
0.001693,
0.001681,
0.001669,
0.001656,
0.001644,
0.001631,
0.001619,
0.001606,
0.001593,
0.001580,
0.001567,
0.001554,
0.001540,
0.001527,
0.001514,
0.001500,
0.001486,
0.001472,
0.001459,
0.001445,
0.001431,
0.001417,
0.001402,
0.001388,
0.001374,
0.001360,
0.001345,
0.001331,
0.001317,
0.001302,
0.001288,
0.001273,
0.001259,
0.001244,
0.001230,
0.001215,
0.001200,
0.001186,
0.001171,
0.001157,
0.001142,
0.001128,
0.001113,
0.001098,
0.001084,
0.001069,
0.001055,
0.001041,
0.001026,
0.001012,
0.000997,
0.000983,
0.000969,
0.000955,
0.000940,
0.000926,
0.000912,
0.000898,
0.000884,
0.000870,
0.000856,
0.000843,
0.000829,
0.000815,
0.000802,
0.000788,
0.000775,
0.000761,
0.000748,
0.000735,
0.000722,
0.000709,
0.000696,
0.000683,
0.000670,
0.000657,
0.000645,
0.000632,
0.000620,
0.000608,
0.000595,
0.000583,
0.000571,
0.000559,
0.000547,
0.000536,
0.000524,
0.000512,
0.000501,
0.000490,
0.000479,
0.000467,
0.000456,
0.000446,
0.000435,
0.000424,
0.000414,
0.000403,
0.000393,
0.000383,
0.000373,
0.000363,
0.000353,
0.000343,
0.000333,
0.000324,
0.000315,
0.000305,
0.000296,
0.000287,
0.000278,
0.000269,
0.000261,
0.000252,
0.000244,
0.000235,
0.000227,
0.000219,
0.000211,
0.000203,
0.000196,
0.000188,
0.000181,
0.000173,
0.000166,
0.000159,
0.000152,
0.000145,
0.000138,
0.000131,
0.000125,
0.000118,
0.000112,
0.000106,
0.000100,
0.000094,
0.000088,
0.000082,
0.000077,
0.000071,
0.000066,
0.000060,
0.000055,
0.000050,
0.000045,
0.000040,
0.000035,
0.000031,
0.000026,
0.000022,
0.000017,
0.000013,
0.000009,
0.000005,
0.000001,
-0.000003,
-0.000007,
-0.000010,
-0.000014,
-0.000017,
-0.000021,
-0.000024,
-0.000027,
-0.000030,
-0.000033,
-0.000036,
-0.000039,
-0.000042,
-0.000044,
-0.000047,
-0.000049,
-0.000052,
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-0.000059,
-0.000061,
-0.000063,
-0.000065,
-0.000066,
-0.000068,
-0.000070,
-0.000071,
-0.000073,
-0.000074,
-0.000076,
-0.000077,
-0.000078,
-0.000080,
-0.000081,
-0.000082,
-0.000083,
-0.000084,
-0.000085,
-0.000085,
-0.000086,
-0.000087,
-0.000087,
-0.000088,
-0.000089,
-0.000089,
-0.000089,
-0.000090,
-0.000090,
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-0.000091,
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-0.000091,
-0.000091,
-0.000091,
-0.000091,
-0.000090,
-0.000090,
-0.000090,
-0.000090,
-0.000089,
-0.000089,
-0.000089,
-0.000088,
-0.000088,
-0.000087,
-0.000087,
-0.000086,
-0.000085,
-0.000085,
-0.000084,
-0.000084,
-0.000083,
-0.000082,
-0.000081,
-0.000081,
-0.000080,
-0.000079,
-0.000078,
-0.000077,
-0.000077,
-0.000076,
-0.000075,
-0.000074,
-0.000073,
-0.000072,
-0.000071,
-0.000070,
-0.000069,
-0.000068,
-0.000067,
-0.000066,
-0.000065,
-0.000064,
-0.000063,
-0.000062,
-0.000061,
-0.000060,
-0.000059,
-0.000058,
-0.000057,
-0.000056,
-0.000055,
-0.000054,
-0.000052,
-0.000051,
-0.000050,
-0.000049,
-0.000048,
-0.000047,
-0.000046
};

static const float SMALL_FILTER_FLOAT_IMPD[] /* Impulse response */ = {
-0.000020,
-0.000060,
-0.000100,
-0.000139,
-0.000179,
-0.000219,
-0.000259,
-0.000299,
-0.000338,
-0.000378,
-0.000418,
-0.000457,
-0.000497,
-0.000536,
-0.000576,
-0.000615,
-0.000655,
-0.000694,
-0.000733,
-0.000772,
-0.000812,
-0.000851,
-0.000890,
-0.000929,
-0.000967,
-0.001006,
-0.001045,
-0.001083,
-0.001122,
-0.001160,
-0.001199,
-0.001237,
-0.001275,
-0.001313,
-0.001351,
-0.001388,
-0.001426,
-0.001463,
-0.001501,
-0.001538,
-0.001575,
-0.001612,
-0.001649,
-0.001685,
-0.001722,
-0.001758,
-0.001794,
-0.001830,
-0.001866,
-0.001902,
-0.001938,
-0.001973,
-0.002008,
-0.002043,
-0.002078,
-0.002113,
-0.002147,
-0.002182,