2 SuperCollider real time audio synthesis system
3 Copyright (c) 2002 James McCartney. All rights reserved.
4 http://www.audiosynth.com
6 This program is free software; you can redistribute it and/or modify
7 it under the terms of the GNU General Public License as published by
8 the Free Software Foundation; either version 2 of the License, or
9 (at your option) any later version.
11 This program is distributed in the hope that it will be useful,
12 but WITHOUT ANY WARRANTY; without even the implied warranty of
13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14 GNU General Public License for more details.
16 You should have received a copy of the GNU General Public License
17 along with this program; if not, write to the Free Software
18 Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
21 //This MFCC UGen combines work by Dan Stowell (influenced also by Jamie Bullock's work on libxtract) and independent work by Nick Collins
23 //Mel scale based frequency warping of spectrum, powers combined discrete cosine transform (DCT-II) via brute force calculation
24 //see academic refs, wikipedia and http://www.fftw.org/fftw3_doc/Real-even_002fodd-DFTs-_0028cosine_002fsine-transforms_0029.html#Real-even_002fodd-DFTs-_0028cosine_002fsine-transforms_0029
27 #include "FFT_UGens.h"
29 //The plugin could be generalised to pass alternative scale data (corresponding to Barks, ERBs and different FFT sizes etc) via a buffer
30 //For the moment, the data below is used and only 1024 FFT supported. For the associated Mel scale spacing generation code see the bottom of the MFCC help file
32 int g_startbin44100
[42]= { 0, 2, 4, 5, 7, 9, 11, 13, 15, 17, 20, 23, 26, 29, 33, 36, 41, 45, 50, 55, 60, 66, 73, 80, 87, 96, 104, 114, 124, 135, 147, 159, 173, 188, 204, 221, 240, 260, 282, 305, 330, 357 };
33 //int g_endbin44100[42]= { 2, 3, 5, 7, 9, 11, 13, 15, 18, 21, 24, 27, 31, 34, 39, 43, 48, 53, 58, 64, 71, 78, 85, 94, 102, 112, 122, 133, 145, 157, 171, 186, 202, 219, 238, 258, 280, 303, 328, 355, 385, 416 };
34 //efficiency trick; one above actual endbin, allows for loop to test only < and not <=
35 int g_endbin44100
[42]= {3, 4, 6, 8, 10, 12, 14, 16, 19, 22, 25, 28, 32, 35, 40, 44, 49, 54, 59, 65, 72, 79, 86, 95, 103, 113, 123, 134, 146, 158, 172, 187, 203, 220, 239, 259, 281, 304, 329, 356, 386, 417 };
37 int g_cumulindex44100
[43]= { 0, 3, 5, 7, 10, 13, 16, 19, 22, 26, 31, 36, 41, 47, 53, 60, 68, 76, 85, 94, 104, 116, 129, 142, 157, 173, 190, 209, 229, 251, 274, 299, 327, 357, 389, 424, 462, 503, 547, 594, 645, 701, 760 };
38 float g_melbandweights44100
[761]= { 0.5, 1, 0.5, 0.5, 1, 1, 0.5, 0.5, 1, 0.5, 0.5, 1, 0.5, 0.5, 1, 0.5, 0.5, 1, 0.5, 0.5, 1, 0.5, 0.5, 1, 0.66666666666667, 0.33333333333333, 0.33333333333333, 0.66666666666667, 1, 0.66666666666667, 0.33333333333333, 0.33333333333333, 0.66666666666667, 1, 0.66666666666667, 0.33333333333333, 0.33333333333333, 0.66666666666667, 1, 0.66666666666667, 0.33333333333333, 0.33333333333333, 0.66666666666667, 1, 0.75, 0.5, 0.25, 0.25, 0.5, 0.75, 1, 0.66666666666667, 0.33333333333333, 0.33333333333333, 0.66666666666667, 1, 0.8, 0.6, 0.4, 0.2, 0.2, 0.4, 0.6, 0.8, 1, 0.75, 0.5, 0.25, 0.25, 0.5, 0.75, 1, 0.8, 0.6, 0.4, 0.2, 0.2, 0.4, 0.6, 0.8, 1, 0.8, 0.6, 0.4, 0.2, 0.2, 0.4, 0.6, 0.8, 1, 0.8, 0.6, 0.4, 0.2, 0.2, 0.4, 0.6, 0.8, 1, 0.83333333333333, 0.66666666666667, 0.5, 0.33333333333333, 0.16666666666667, 0.16666666666667, 0.33333333333333, 0.5, 0.66666666666667, 0.83333333333333, 1, 0.85714285714286, 0.71428571428571, 0.57142857142857, 0.42857142857143, 0.28571428571429, 0.14285714285714, 0.14285714285714, 0.28571428571429, 0.42857142857143, 0.57142857142857, 0.71428571428571, 0.85714285714286, 1, 0.85714285714286, 0.71428571428571, 0.57142857142857, 0.42857142857143, 0.28571428571429, 0.14285714285714, 0.14285714285714, 0.28571428571429, 0.42857142857143, 0.57142857142857, 0.71428571428571, 0.85714285714286, 1, 0.85714285714286, 0.71428571428571, 0.57142857142857, 0.42857142857143, 0.28571428571429, 0.14285714285714, 0.14285714285714, 0.28571428571429, 0.42857142857143, 0.57142857142857, 0.71428571428571, 0.85714285714286, 1, 0.88888888888889, 0.77777777777778, 0.66666666666667, 0.55555555555556, 0.44444444444444, 0.33333333333333, 0.22222222222222, 0.11111111111111, 0.11111111111111, 0.22222222222222, 0.33333333333333, 0.44444444444444, 0.55555555555556, 0.66666666666667, 0.77777777777778, 0.88888888888889, 1, 0.875, 0.75, 0.625, 0.5, 0.375, 0.25, 0.125, 0.125, 0.25, 0.375, 0.5, 0.625, 0.75, 0.875, 1, 0.9, 0.8, 0.7, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 0.9, 0.8, 0.7, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 0.90909090909091, 0.81818181818182, 0.72727272727273, 0.63636363636364, 0.54545454545455, 0.45454545454545, 0.36363636363636, 0.27272727272727, 0.18181818181818, 0.090909090909091, 0.090909090909091, 0.18181818181818, 0.27272727272727, 0.36363636363636, 0.45454545454545, 0.54545454545455, 0.63636363636364, 0.72727272727273, 0.81818181818182, 0.90909090909091, 1, 0.91666666666667, 0.83333333333333, 0.75, 0.66666666666667, 0.58333333333333, 0.5, 0.41666666666667, 0.33333333333333, 0.25, 0.16666666666667, 0.083333333333333, 0.083333333333333, 0.16666666666667, 0.25, 0.33333333333333, 0.41666666666667, 0.5, 0.58333333333333, 0.66666666666667, 0.75, 0.83333333333333, 0.91666666666667, 1, 0.91666666666667, 0.83333333333333, 0.75, 0.66666666666667, 0.58333333333333, 0.5, 0.41666666666667, 0.33333333333333, 0.25, 0.16666666666667, 0.083333333333333, 0.083333333333333, 0.16666666666667, 0.25, 0.33333333333333, 0.41666666666667, 0.5, 0.58333333333333, 0.66666666666667, 0.75, 0.83333333333333, 0.91666666666667, 1, 0.92857142857143, 0.85714285714286, 0.78571428571429, 0.71428571428571, 0.64285714285714, 0.57142857142857, 0.5, 0.42857142857143, 0.35714285714286, 0.28571428571429, 0.21428571428571, 0.14285714285714, 0.071428571428572, 0.071428571428571, 0.14285714285714, 0.21428571428571, 0.28571428571429, 0.35714285714286, 0.42857142857143, 0.5, 0.57142857142857, 0.64285714285714, 0.71428571428571, 0.78571428571429, 0.85714285714286, 0.92857142857143, 1, 0.93333333333333, 0.86666666666667, 0.8, 0.73333333333333, 0.66666666666667, 0.6, 0.53333333333333, 0.46666666666667, 0.4, 0.33333333333333, 0.26666666666667, 0.2, 0.13333333333333, 0.066666666666667, 0.066666666666667, 0.13333333333333, 0.2, 0.26666666666667, 0.33333333333333, 0.4, 0.46666666666667, 0.53333333333333, 0.6, 0.66666666666667, 0.73333333333333, 0.8, 0.86666666666667, 0.93333333333333, 1, 0.9375, 0.875, 0.8125, 0.75, 0.6875, 0.625, 0.5625, 0.5, 0.4375, 0.375, 0.3125, 0.25, 0.1875, 0.125, 0.0625, 0.0625, 0.125, 0.1875, 0.25, 0.3125, 0.375, 0.4375, 0.5, 0.5625, 0.625, 0.6875, 0.75, 0.8125, 0.875, 0.9375, 1, 0.94117647058824, 0.88235294117647, 0.82352941176471, 0.76470588235294, 0.70588235294118, 0.64705882352941, 0.58823529411765, 0.52941176470588, 0.47058823529412, 0.41176470588235, 0.35294117647059, 0.29411764705882, 0.23529411764706, 0.17647058823529, 0.11764705882353, 0.058823529411765, 0.058823529411765, 0.11764705882353, 0.17647058823529, 0.23529411764706, 0.29411764705882, 0.35294117647059, 0.41176470588235, 0.47058823529412, 0.52941176470588, 0.58823529411765, 0.64705882352941, 0.70588235294118, 0.76470588235294, 0.82352941176471, 0.88235294117647, 0.94117647058824, 1, 0.94736842105263, 0.89473684210526, 0.84210526315789, 0.78947368421053, 0.73684210526316, 0.68421052631579, 0.63157894736842, 0.57894736842105, 0.52631578947368, 0.47368421052632, 0.42105263157895, 0.36842105263158, 0.31578947368421, 0.26315789473684, 0.21052631578947, 0.15789473684211, 0.10526315789474, 0.052631578947369, 0.052631578947368, 0.10526315789474, 0.15789473684211, 0.21052631578947, 0.26315789473684, 0.31578947368421, 0.36842105263158, 0.42105263157895, 0.47368421052632, 0.52631578947368, 0.57894736842105, 0.63157894736842, 0.68421052631579, 0.73684210526316, 0.78947368421053, 0.84210526315789, 0.89473684210526, 0.94736842105263, 1, 0.95, 0.9, 0.85, 0.8, 0.75, 0.7, 0.65, 0.6, 0.55, 0.5, 0.45, 0.4, 0.35, 0.3, 0.25, 0.2, 0.15, 0.1, 0.05, 0.05, 0.1, 0.15, 0.2, 0.25, 0.3, 0.35, 0.4, 0.45, 0.5, 0.55, 0.6, 0.65, 0.7, 0.75, 0.8, 0.85, 0.9, 0.95, 1, 0.95454545454545, 0.90909090909091, 0.86363636363636, 0.81818181818182, 0.77272727272727, 0.72727272727273, 0.68181818181818, 0.63636363636364, 0.59090909090909, 0.54545454545455, 0.5, 0.45454545454545, 0.40909090909091, 0.36363636363636, 0.31818181818182, 0.27272727272727, 0.22727272727273, 0.18181818181818, 0.13636363636364, 0.090909090909091, 0.045454545454545, 0.045454545454545, 0.090909090909091, 0.13636363636364, 0.18181818181818, 0.22727272727273, 0.27272727272727, 0.31818181818182, 0.36363636363636, 0.40909090909091, 0.45454545454545, 0.5, 0.54545454545455, 0.59090909090909, 0.63636363636364, 0.68181818181818, 0.72727272727273, 0.77272727272727, 0.81818181818182, 0.86363636363636, 0.90909090909091, 0.95454545454545, 1, 0.95652173913043, 0.91304347826087, 0.8695652173913, 0.82608695652174, 0.78260869565217, 0.73913043478261, 0.69565217391304, 0.65217391304348, 0.60869565217391, 0.56521739130435, 0.52173913043478, 0.47826086956522, 0.43478260869565, 0.39130434782609, 0.34782608695652, 0.30434782608696, 0.26086956521739, 0.21739130434783, 0.17391304347826, 0.1304347826087, 0.08695652173913, 0.043478260869565, 0.043478260869565, 0.08695652173913, 0.1304347826087, 0.17391304347826, 0.21739130434783, 0.26086956521739, 0.30434782608696, 0.34782608695652, 0.39130434782609, 0.43478260869565, 0.47826086956522, 0.52173913043478, 0.56521739130435, 0.60869565217391, 0.65217391304348, 0.69565217391304, 0.73913043478261, 0.78260869565217, 0.82608695652174, 0.8695652173913, 0.91304347826087, 0.95652173913043, 1, 0.96, 0.92, 0.88, 0.84, 0.8, 0.76, 0.72, 0.68, 0.64, 0.6, 0.56, 0.52, 0.48, 0.44, 0.4, 0.36, 0.32, 0.28, 0.24, 0.2, 0.16, 0.12, 0.08, 0.04, 0.04, 0.08, 0.12, 0.16, 0.2, 0.24, 0.28, 0.32, 0.36, 0.4, 0.44, 0.48, 0.52, 0.56, 0.6, 0.64, 0.68, 0.72, 0.76, 0.8, 0.84, 0.88, 0.92, 0.96, 1, 0.96296296296296, 0.92592592592593, 0.88888888888889, 0.85185185185185, 0.81481481481481, 0.77777777777778, 0.74074074074074, 0.7037037037037, 0.66666666666667, 0.62962962962963, 0.59259259259259, 0.55555555555556, 0.51851851851852, 0.48148148148148, 0.44444444444444, 0.40740740740741, 0.37037037037037, 0.33333333333333, 0.2962962962963, 0.25925925925926, 0.22222222222222, 0.18518518518519, 0.14814814814815, 0.11111111111111, 0.074074074074074, 0.037037037037037, 0.037037037037037, 0.074074074074074, 0.11111111111111, 0.14814814814815, 0.18518518518519, 0.22222222222222, 0.25925925925926, 0.2962962962963, 0.33333333333333, 0.37037037037037, 0.40740740740741, 0.44444444444444, 0.48148148148148, 0.51851851851852, 0.55555555555556, 0.59259259259259, 0.62962962962963, 0.66666666666667, 0.7037037037037, 0.74074074074074, 0.77777777777778, 0.81481481481481, 0.85185185185185, 0.88888888888889, 0.92592592592593, 0.96296296296296, 1, 0.96666666666667, 0.93333333333333, 0.9, 0.86666666666667, 0.83333333333333, 0.8, 0.76666666666667, 0.73333333333333, 0.7, 0.66666666666667, 0.63333333333333, 0.6, 0.56666666666667, 0.53333333333333, 0.5, 0.46666666666667, 0.43333333333333, 0.4, 0.36666666666667, 0.33333333333333, 0.3, 0.26666666666667, 0.23333333333333, 0.2, 0.16666666666667, 0.13333333333333, 0.1, 0.066666666666667, 0.033333333333333, 0.033333333333333, 0.066666666666667, 0.1, 0.13333333333333, 0.16666666666667, 0.2, 0.23333333333333, 0.26666666666667, 0.3, 0.33333333333333, 0.36666666666667, 0.4, 0.43333333333333, 0.46666666666667, 0.5, 0.53333333333333, 0.56666666666667, 0.6, 0.63333333333333, 0.66666666666667, 0.7, 0.73333333333333, 0.76666666666667, 0.8, 0.83333333333333, 0.86666666666667, 0.9, 0.93333333333333, 0.96666666666667, 1, 0.96774193548387, 0.93548387096774, 0.90322580645161, 0.87096774193548, 0.83870967741935, 0.80645161290323, 0.7741935483871, 0.74193548387097, 0.70967741935484, 0.67741935483871, 0.64516129032258, 0.61290322580645, 0.58064516129032, 0.54838709677419, 0.51612903225806, 0.48387096774194, 0.45161290322581, 0.41935483870968, 0.38709677419355, 0.35483870967742, 0.32258064516129, 0.29032258064516, 0.25806451612903, 0.2258064516129, 0.19354838709677, 0.16129032258065, 0.12903225806452, 0.096774193548387, 0.064516129032258, 0.032258064516129 };
40 int g_startbin48000
[42]= { 0, 2, 4, 5, 6, 8, 10, 12, 14, 16, 18, 21, 24, 27, 30, 34, 37, 41, 46, 51, 56, 61, 67, 73, 80, 88, 96, 104, 114, 124, 135, 147, 159, 173, 188, 203, 220, 239, 259, 280, 304, 328 };
41 //int g_endbin48000[42]= { 2, 3, 4, 6, 8, 10, 12, 14, 16, 19, 22, 25, 28, 32, 35, 39, 44, 49, 54, 59, 65, 71, 78, 86, 94, 102, 112, 122, 133, 145, 157, 171, 186, 201, 218, 237, 257, 278, 302, 326, 353, 383 };
42 //with efficiency trick
43 int g_endbin48000
[42]= { 3, 4, 5, 7, 9, 11, 13, 15, 17, 20, 23, 26, 29, 33, 36, 40, 45, 50, 55, 60, 66, 72, 79, 87, 95, 103, 113, 123, 134, 146, 158, 172, 187, 202, 219, 238, 258, 279, 303, 327, 354, 384 };
45 int g_cumulindex48000
[43]= { 0, 3, 5, 6, 8, 11, 14, 17, 20, 23, 27, 32, 37, 42, 48, 54, 60, 68, 77, 86, 95, 105, 116, 128, 142, 157, 172, 189, 208, 228, 250, 273, 298, 326, 355, 386, 421, 459, 499, 543, 590, 640, 695 };
46 float g_melbandweights48000
[761]= { 0.5, 1, 0.5, 0.5, 1, 1, 1, 0.5, 0.5, 1, 0.5, 0.5, 1, 0.5, 0.5, 1, 0.5, 0.5, 1, 0.5, 0.5, 1, 0.5, 0.5, 1, 0.66666666666667, 0.33333333333333, 0.33333333333333, 0.66666666666667, 1, 0.66666666666667, 0.33333333333333, 0.33333333333333, 0.66666666666667, 1, 0.66666666666667, 0.33333333333333, 0.33333333333333, 0.66666666666667, 1, 0.66666666666667, 0.33333333333333, 0.33333333333333, 0.66666666666667, 1, 0.75, 0.5, 0.25, 0.25, 0.5, 0.75, 1, 0.66666666666667, 0.33333333333333, 0.33333333333333, 0.66666666666667, 1, 0.75, 0.5, 0.25, 0.25, 0.5, 0.75, 1, 0.8, 0.6, 0.4, 0.2, 0.2, 0.4, 0.6, 0.8, 1, 0.8, 0.6, 0.4, 0.2, 0.2, 0.4, 0.6, 0.8, 1, 0.8, 0.6, 0.4, 0.2, 0.2, 0.4, 0.6, 0.8, 1, 0.8, 0.6, 0.4, 0.2, 0.2, 0.4, 0.6, 0.8, 1, 0.83333333333333, 0.66666666666667, 0.5, 0.33333333333333, 0.16666666666667, 0.16666666666667, 0.33333333333333, 0.5, 0.66666666666667, 0.83333333333333, 1, 0.83333333333333, 0.66666666666667, 0.5, 0.33333333333333, 0.16666666666667, 0.16666666666667, 0.33333333333333, 0.5, 0.66666666666667, 0.83333333333333, 1, 0.85714285714286, 0.71428571428571, 0.57142857142857, 0.42857142857143, 0.28571428571429, 0.14285714285714, 0.14285714285714, 0.28571428571429, 0.42857142857143, 0.57142857142857, 0.71428571428571, 0.85714285714286, 1, 0.875, 0.75, 0.625, 0.5, 0.375, 0.25, 0.125, 0.125, 0.25, 0.375, 0.5, 0.625, 0.75, 0.875, 1, 0.875, 0.75, 0.625, 0.5, 0.375, 0.25, 0.125, 0.125, 0.25, 0.375, 0.5, 0.625, 0.75, 0.875, 1, 0.875, 0.75, 0.625, 0.5, 0.375, 0.25, 0.125, 0.125, 0.25, 0.375, 0.5, 0.625, 0.75, 0.875, 1, 0.9, 0.8, 0.7, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 0.9, 0.8, 0.7, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 0.90909090909091, 0.81818181818182, 0.72727272727273, 0.63636363636364, 0.54545454545455, 0.45454545454545, 0.36363636363636, 0.27272727272727, 0.18181818181818, 0.090909090909091, 0.090909090909091, 0.18181818181818, 0.27272727272727, 0.36363636363636, 0.45454545454545, 0.54545454545455, 0.63636363636364, 0.72727272727273, 0.81818181818182, 0.90909090909091, 1, 0.91666666666667, 0.83333333333333, 0.75, 0.66666666666667, 0.58333333333333, 0.5, 0.41666666666667, 0.33333333333333, 0.25, 0.16666666666667, 0.083333333333333, 0.083333333333333, 0.16666666666667, 0.25, 0.33333333333333, 0.41666666666667, 0.5, 0.58333333333333, 0.66666666666667, 0.75, 0.83333333333333, 0.91666666666667, 1, 0.91666666666667, 0.83333333333333, 0.75, 0.66666666666667, 0.58333333333333, 0.5, 0.41666666666667, 0.33333333333333, 0.25, 0.16666666666667, 0.083333333333333, 0.083333333333333, 0.16666666666667, 0.25, 0.33333333333333, 0.41666666666667, 0.5, 0.58333333333333, 0.66666666666667, 0.75, 0.83333333333333, 0.91666666666667, 1, 0.92857142857143, 0.85714285714286, 0.78571428571429, 0.71428571428571, 0.64285714285714, 0.57142857142857, 0.5, 0.42857142857143, 0.35714285714286, 0.28571428571429, 0.21428571428571, 0.14285714285714, 0.071428571428572, 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49 //generated in SC using:
50 //a= Array.fill(42, {|i| cos(pi/42.0*((0..41)+0.5)*(i+1))});
51 //Post << a.flatten << nl;
53 //up to 42 coefficients, each with 42 multipliers for each of 42 bands
54 float dct
[1764]= {0.9993007047884, 0.99371220989324, 0.98256647323329, 0.96592582628907, 0.94388333030837, 0.91656225586998, 0.88411539350461, 0.84672419922828, 0.80459777976667, 0.75797172314545, 0.70710678118655, 0.65228741127812, 0.5938201855735, 0.53203207651534, 0.46726862827306, 0.39989202431974, 0.33027906195517, 0.25881904510252, 0.18591160716291, 0.11196447610331, 0.037391194276326, -0.037391194276326, -0.11196447610331, -0.18591160716291, -0.25881904510252, -0.33027906195517, -0.39989202431974, -0.46726862827306, -0.53203207651534, -0.5938201855735, -0.65228741127812, -0.70710678118655, -0.75797172314545, -0.80459777976667, -0.84672419922828, -0.88411539350461, -0.91656225586998, -0.94388333030837, -0.96592582628907, -0.98256647323329, -0.99371220989324, -0.9993007047884, 0.99720379718118, 0.97492791218182, 0.9308737486442, 0.86602540378444, 0.78183148246803, 0.68017273777092, 0.56332005806362, 0.43388373911756, 0.2947551744109, 0.14904226617617, 6.1232339957368e-17, 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0.78183148246803, -2.4554834046606e-16, -0.78183148246803, 0.97492791218182, -0.43388373911756, -0.43388373911756, 0.97492791218182, -0.78183148246803, 3.1859386196929e-15, 0.78183148246803, -0.97492791218182, 0.43388373911756, 0.43388373911756, -0.97492791218182, 0.78183148246803, 9.7909845868129e-16, -0.78183148246802, 0.97492791218182, -0.43388373911756, -0.43388373911756, 0.97492791218182, -0.78183148246802, 1.9612918205455e-15, 0.78183148246803, -0.97492791218182, 0.43388373911756, 0.39989202431974, -0.94388333030837, 0.88411539350461, -0.25881904510252, -0.53203207651534, 0.98256647323329, -0.80459777976667, 0.11196447610331, 0.65228741127812, -0.9993007047884, 0.70710678118655, 0.037391194276325, -0.75797172314545, 0.99371220989324, -0.5938201855735, -0.18591160716291, 0.84672419922829, -0.96592582628907, 0.46726862827306, 0.33027906195517, -0.91656225586998, 0.91656225586998, -0.33027906195517, -0.46726862827306, 0.96592582628907, -0.84672419922829, 0.18591160716291, 0.5938201855735, -0.99371220989324, 0.75797172314545, -0.037391194276328, -0.70710678118655, 0.9993007047884, -0.65228741127812, -0.11196447610331, 0.80459777976667, -0.98256647323329, 0.53203207651533, 0.25881904510251, -0.88411539350461, 0.94388333030837, -0.39989202431975, 0.36534102436639, -0.90096886790242, 0.95557280578614, -0.5, -0.22252093395631, 0.82623877431599, -0.98883082622513, 0.62348980185873, 0.074730093586423, -0.73305187182983, 1, -0.73305187182983, 0.074730093586424, 0.62348980185873, -0.98883082622513, 0.826238774316, -0.22252093395631, -0.5, 0.95557280578614, -0.90096886790242, 0.3653410243664, 0.36534102436639, -0.90096886790242, 0.95557280578614, -0.5, -0.22252093395631, 0.82623877431599, -0.98883082622513, 0.62348980185873, 0.074730093586418, -0.73305187182983, 1, -0.73305187182983, 0.074730093586426, 0.62348980185874, -0.98883082622513, 0.826238774316, -0.22252093395631, -0.49999999999999, 0.95557280578614, -0.90096886790242, 0.3653410243664, 0.33027906195517, -0.84672419922828, 0.99371220989324, -0.70710678118655, 0.11196447610331, 0.53203207651534, -0.94388333030837, 0.94388333030837, -0.53203207651534, -0.11196447610331, 0.70710678118655, -0.99371220989324, 0.84672419922828, -0.33027906195517, -0.33027906195516, 0.84672419922828, -0.99371220989324, 0.70710678118655, -0.11196447610331, -0.53203207651534, 0.94388333030837, -0.94388333030837, 0.53203207651533, 0.11196447610331, -0.70710678118654, 0.99371220989324, -0.84672419922828, 0.33027906195516, 0.33027906195517, -0.84672419922828, 0.99371220989324, -0.70710678118655, 0.11196447610331, 0.53203207651533, -0.94388333030837, 0.94388333030837, -0.53203207651533, -0.11196447610331, 0.70710678118655, -0.99371220989324, 0.84672419922828, -0.33027906195517, 0.2947551744109, -0.78183148246803, 0.99720379718118, -0.86602540378444, 0.43388373911756, 0.14904226617617, -0.68017273777092, 0.97492791218182, -0.93087374864421, 0.56332005806362, -7.35407060125e-16, -0.56332005806362, 0.9308737486442, -0.97492791218182, 0.68017273777092, -0.14904226617618, -0.43388373911756, 0.86602540378444, -0.99720379718118, 0.78183148246803, -0.2947551744109, -0.2947551744109, 0.78183148246803, -0.99720379718118, 0.86602540378444, -0.43388373911756, -0.14904226617618, 0.68017273777092, -0.97492791218182, 0.93087374864421, -0.56332005806362, -4.899206177226e-15, 0.56332005806362, -0.93087374864421, 0.97492791218182, -0.68017273777093, 0.14904226617618, 0.43388373911756, -0.86602540378443, 0.99720379718118, -0.78183148246803, 0.29475517441091, 0.25881904510252, -0.70710678118655, 0.96592582628907, -0.96592582628907, 0.70710678118655, -0.25881904510252, -0.25881904510252, 0.70710678118655, -0.96592582628907, 0.96592582628907, -0.70710678118655, 0.25881904510252, 0.25881904510252, -0.70710678118655, 0.96592582628907, -0.96592582628907, 0.70710678118655, -0.25881904510252, -0.25881904510252, 0.70710678118655, -0.96592582628907, 0.96592582628907, -0.70710678118655, 0.25881904510252, 0.25881904510252, -0.70710678118655, 0.96592582628907, -0.96592582628907, 0.70710678118655, -0.25881904510252, -0.25881904510252, 0.70710678118655, -0.96592582628907, 0.96592582628907, -0.70710678118655, 0.25881904510252, 0.25881904510252, -0.70710678118655, 0.96592582628907, -0.96592582628907, 0.70710678118654, -0.25881904510253, 0.22252093395631, -0.62348980185873, 0.90096886790242, -1, 0.90096886790242, -0.62348980185873, 0.22252093395631, 0.22252093395632, -0.62348980185873, 0.90096886790242, -1, 0.90096886790242, -0.62348980185874, 0.22252093395631, 0.22252093395631, -0.62348980185873, 0.90096886790242, -1, 0.90096886790242, -0.62348980185873, 0.22252093395632, 0.22252093395631, -0.62348980185873, 0.90096886790242, -1, 0.90096886790242, -0.62348980185873, 0.22252093395632, 0.22252093395631, -0.62348980185873, 0.90096886790242, -1, 0.90096886790242, -0.62348980185874, 0.22252093395631, 0.22252093395631, -0.62348980185873, 0.90096886790242, -1, 0.90096886790242, -0.62348980185873, 0.22252093395632, 0.18591160716291, -0.53203207651534, 0.80459777976667, -0.96592582628907, 0.99371220989324, -0.88411539350461, 0.65228741127812, -0.33027906195517, -0.037391194276324, 0.39989202431974, -0.70710678118655, 0.91656225586998, -0.9993007047884, 0.94388333030837, -0.75797172314546, 0.46726862827306, -0.1119644761033, -0.25881904510252, 0.5938201855735, -0.84672419922828, 0.98256647323329, -0.98256647323329, 0.84672419922828, -0.59382018557351, 0.25881904510252, 0.1119644761033, -0.46726862827306, 0.75797172314545, -0.94388333030837, 0.9993007047884, -0.91656225586998, 0.70710678118655, -0.39989202431975, 0.037391194276323, 0.33027906195517, -0.65228741127811, 0.88411539350461, -0.99371220989324, 0.96592582628907, -0.80459777976667, 0.53203207651533, -0.18591160716292, 0.14904226617617, -0.43388373911756, 0.68017273777092, -0.86602540378444, 0.97492791218182, -0.99720379718118, 0.93087374864421, -0.78183148246803, 0.56332005806362, -0.29475517441091, -2.9397712985902e-15, 0.2947551744109, -0.56332005806362, 0.78183148246803, -0.9308737486442, 0.99720379718118, -0.97492791218182, 0.86602540378444, -0.68017273777092, 0.43388373911756, -0.14904226617617, -0.14904226617617, 0.43388373911756, -0.68017273777092, 0.86602540378443, -0.97492791218182, 0.99720379718118, -0.9308737486442, 0.78183148246803, -0.56332005806363, 0.2947551744109, 8.8193138957707e-15, -0.29475517441089, 0.56332005806362, -0.78183148246803, 0.9308737486442, -0.99720379718118, 0.97492791218182, -0.86602540378444, 0.68017273777092, -0.43388373911756, 0.14904226617618, 0.11196447610331, -0.33027906195517, 0.53203207651534, -0.70710678118655, 0.84672419922828, -0.94388333030837, 0.99371220989324, -0.99371220989324, 0.94388333030837, -0.84672419922828, 0.70710678118655, -0.53203207651534, 0.33027906195516, -0.1119644761033, -0.11196447610331, 0.33027906195516, -0.53203207651534, 0.70710678118655, -0.84672419922828, 0.94388333030837, -0.99371220989324, 0.99371220989324, -0.94388333030837, 0.84672419922828, 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-7.35407060125e-16, 6.1294238021026e-16, -4.9047770029553e-16, 3.9207266991813e-15, -2.4554834046606e-16, -3.4296300182492e-15, -6.1898063658838e-19, 3.4308679795224e-15, 2.4431037919288e-16, 3.1859386196929e-15, -6.6161876185786e-15, -4.1644180977376e-15, -6.3712582587492e-15, 9.8015072576349e-15, 9.7909845868129e-16, 2.4511505402045e-15, -5.8813995390902e-15, 9.311648537976e-15, 1.4689571783402e-15, 1.9612918205455e-15, 8.8193138957707e-15, 8.8217898183171e-15, 1.9588158979992e-15, 1.4714331008866e-15, -4.9016820997724e-15, 8.3319310986581e-15, 2.4486746176581e-15, 1.519242909643e-14, -4.4118233801134e-15, -6.3687823362028e-15, -1.1272321377885e-14, 4.9171566156871e-16, 1.0288890054748e-14, 7.3522136593402e-15 };
58 static void MFCC_dofft(MFCC
*, uint32
);
60 static float MFCC_prepareMel(MFCC
*, float *);
61 //float MFCC_prepareERB(MFCC *, float *);
64 void MFCC_Ctor(MFCC
* unit
)
66 //may want to check sampling rate here!
68 unit
->m_srate
= unit
->mWorld
->mFullRate
.mSampleRate
;
70 //if sample rate is 88200 or 96000, assume taking double size FFT to start with
71 if(unit
->m_srate
> (44100.0*1.5)) unit
->m_srate
= unit
->m_srate
*0.5;
73 if(((int)(unit
->m_srate
+0.01))==44100)
75 unit
->m_startbin
= g_startbin44100
;
76 unit
->m_endbin
= g_endbin44100
;
77 unit
->m_cumulindex
= g_cumulindex44100
;
78 unit
->m_bandweights
= g_melbandweights44100
;
80 else //else 48000; potentially dangerous if it isn't! Fortunately, shouldn't write any data to unknown memory
82 unit
->m_startbin
= g_startbin48000
;
83 unit
->m_endbin
= g_endbin48000
;
84 unit
->m_cumulindex
= g_cumulindex48000
;
85 unit
->m_bandweights
= g_melbandweights48000
;
91 unit
->m_bands
= (float*)RTAlloc(unit
->mWorld
, unit
->m_numbands
* sizeof(float));
93 Clear(unit
->m_numbands
, unit
->m_bands
);
95 unit
->m_numcoefficients
= (int)ZIN0(1);
98 if(unit
->m_numcoefficients
<1){unit
->m_numcoefficients
=1;}
99 if(unit
->m_numcoefficients
>42){unit
->m_numcoefficients
=42;}
101 unit
->m_mfcc
= (float*)RTAlloc(unit
->mWorld
, unit
->m_numcoefficients
* sizeof(float));
103 Clear(unit
->m_numcoefficients
, unit
->m_mfcc
);
104 for (int j
=0; j
<unit
->m_numcoefficients
; ++j
)
107 unit
->mCalcFunc
= (UnitCalcFunc
)&MFCC_next
;
111 void MFCC_Dtor(MFCC
*unit
)
114 RTFree(unit
->mWorld
, unit
->m_mfcc
);
116 RTFree(unit
->mWorld
, unit
->m_bands
);
120 void MFCC_next(MFCC
*unit
, int wrongNumSamples
)
122 float fbufnum
= ZIN0(0);
124 //next FFT bufffer ready, update
125 //assuming at this point that buffer precalculated for any resampling
127 MFCC_dofft(unit
, (uint32
)fbufnum
);
129 //always output sones
130 //float outval= unit->m_sones;
132 //printf("sones %f phontotal %f \n",outval, unit->m_phontotal);
134 //number of outputs depends on numcoefficients
135 //control rate output
136 //ZOUT0(0)=unit->m_sones;
138 for (int k
=0; k
<unit
->m_numcoefficients
; ++k
)
139 ZOUT0(k
)= unit
->m_mfcc
[k
];
143 //calculation function once FFT data ready
144 void MFCC_dofft(MFCC
*unit
, uint32 ibufnum
)
146 World
*world
= unit
->mWorld
;
149 if (ibufnum
>= world
->mNumSndBufs
) {
150 int localBufNum
= ibufnum
- world
->mNumSndBufs
;
151 Graph
*parent
= unit
->mParent
;
152 if(localBufNum
<= parent
->localBufNum
) {
153 buf
= parent
->mLocalSndBufs
+ localBufNum
;
155 buf
= world
->mSndBufs
;
158 buf
= world
->mSndBufs
+ ibufnum
;
162 //int numbins = buf->samples - 2 >> 1;
164 //assumed in this representation
167 float * data
= buf
->data
;
169 float mult
= MFCC_prepareMel(unit
, data
);
172 float * pbands
= unit
->m_bands
;
174 //now use cosine basis for transform; approximates principal components, compresses information into a smaller number of bands
175 //FFT is actually more expensive here, easiest just to calculate the basis decomposition straight off
177 //hard coded 42 = max num bands because this is how the indexing in the dct source is set up
178 for (int k
=0; k
<unit
->m_numcoefficients
; ++k
){
183 for (int j
=0; j
<unit
->m_numbands
; ++j
) {
185 //sum+= (0.5*dct[index]+0.5)*pbands[j];
186 sum
+= (dct
[index
])*pbands
[j
];
189 //could also divide by numcoefficients, but left off for compatibility between MFCCs extracted in different ways
190 unit
->m_mfcc
[k
]= 0.25f
*((sum
*mult
)+1.0f
); //0.5*(0.5*(sum*mult)+0.5);
195 float MFCC_prepareMel(MFCC
* unit
, float * data
)
197 float * pbands
= unit
->m_bands
;
199 int * startbin
= unit
->m_startbin
;
200 int * endbin
= unit
->m_endbin
;
201 int * cumulindex
= unit
->m_cumulindex
;
202 float * weights
= unit
->m_bandweights
;
204 for (int k
=0; k
<unit
->m_numbands
; ++k
){
205 int bandstart
= startbin
[k
];
206 int bandend
= endbin
[k
]; //p1 = endbin[k]+1;
209 float real
, imag
, power
;
211 //float lastpower=0.0;
213 index2
= cumulindex
[k
] - bandstart
;
215 for (int j
=bandstart
; j
< bandend
; ++j
) {
221 power
= real
*real
; //sc_abs(real); //dc
223 power
= real
*real
+ imag
*imag
; //sqrt((real*real) + (imag*imag));
225 float multiplier
= weights
[index2
+ j
]; //[cumulindex[k] + (j-bandstart)]
227 bsum
+= (power
*multiplier
);
231 //either keep as double to preserve the small value
232 //pbands[k] = 10.f * (sc_log10((bsum< 1e-42? 1e-42: bsum)) + 5.f);
233 //or make sure value works as a float:
234 //pbands[k] = 10.f * (sc_log10((bsum< 1e-20f? 1e-20f: bsum)) + 5.f);
235 //want to avoid negative values, dynamic range roughly around 11 powers of ten (110dB)
236 //pbands[k] = 10.f * (std::log10((bsum< 1e-5f? 1e-5f: bsum)) + 5.f);
237 pbands
[k
] = 10.f
* (std::log10(sc_max(1e-5f
, bsum
)) +5.f
);
240 //float mult= 0.01; //(1.0/((float)unit->m_numcoefficients)); //0.01*(1.0/((float)unit->m_numcoefficients));
246 //Original draft for EFCC
248 //temporal masking over ERB bands: peaks take a while to decay
249 //spectral masking over which bins summed as contributors for ERB bands; spreading activation function actually implies that the overall power is greater from spread?
250 //masking not triangular but slanted towards masking higher frequency content (ie, lower freq bins mask upper)
252 //for true MP3 style compression would have to see if each FFT bin was noise like or sine like (transient measure on instantaneous frequency for example), and use the appropriate masking curve
253 //efficiency is preferred here
255 //thus can calculate squared powers as you go? cheapest if only have effect of spectral masking above, covering a fixed number of bins? but then, frequency biased loudness based on ERB band centre frequency!
257 //float MFCC_prepareERB(MFCC * unit, float * data) {
261 // float * pbands= unit->m_bands;
263 // for (k=0; k<unit->m_numbands; ++k){
265 // int bandstart=eqlbandbins[k];
266 // //int bandend=eqlbandbins[k+1];
267 // int bandsize= eqlbandsizes[k];
268 // int bandend= bandstart+bandsize;
271 // float real, imag, power;
273 // //float lastpower=0.0;
275 // for (j=bandstart; j<bandend;++j) {
277 // real= data[index];
278 // imag= data[index+1];
280 // power = (real*real) + (imag*imag);
282 // //power of three combination
283 // bsum= bsum+(power*power*power);
287 // float db= 10*((0.33334*log10(bsum)) + 4.8810017610244); //correct multipler until you get loudness output of 1!
289 // //convert via contour
290 // if(db<contours[k][0]) db=0;
291 // else if (db>contours[k][10]) db=phons[10];
296 // for (j=1; j<11; ++j) {
297 // if(db<contours[k][j]) {
298 // prop= (db-contours[k][j-1])/(contours[k][j]-contours[k][j-1]);
306 // db= (1.0-prop)*phons[j-1]+ prop*phons[j];
307 // //printf("prop %f db %f j %d\n",prop,db,j);
311 // //spectralmasking, 6dB drop per frame?
312 // //try also with just take db
313 // pbands[k] = db; //sc_max(db, (unit->m_bands[k]) - tmask);
318 // //now use cosine basis for transform; approximates principal components, compresses information into a smaller number of bands
319 // //FFT is actually more expensive here, easiest just to calculate the basis decomposition straight off
320 // float mult= 0.01*(1.0/((float)unit->m_numcoefficients));