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 //Nick Collins 20 Feb 2006
22 //revision of algorithm 22 Nov 2007
24 //Key tracker using weights of FFT bins.
27 #include "FFT_UGens.h"
33 //CONVERT TO m_frameperiod to cope with different sampling rates?
34 #define FRAMEPERIOD 0.046439909297052
36 //weighting parameters
38 //4096 FFT at 44100 SR
39 static float g_weights44100
[720]= { 0.89160997732426, 0.10839002267574, 0.39160997732426, 0.10839002267574, 0.2249433106576, 0.10839002267574, 0.14160997732426, 0.10839002267574, 0.091609977324263, 0.10839002267574, 0.05827664399093, 0.10839002267574, 0.58784929938181, 0.41215070061819, 0.087849299381813, 0.41215070061819, 0.25451596604848, 0.078817367284855, 0.087849299381813, 0.16215070061819, 0.18784929938181, 0.012150700618187, 0.087849299381812, 0.078817367284855, 0.26602607158423, 0.73397392841577, 0.26602607158423, 0.23397392841577, 0.26602607158423, 0.067307261749107, 0.016026071584227, 0.23397392841577, 0.066026071584226, 0.13397392841577, 0.099359404917559, 0.067307261749107, 0.9250662388251, 0.074933761174898, 0.4250662388251, 0.074933761174898, 0.25839957215844, 0.074933761174898, 0.1750662388251, 0.074933761174898, 0.1250662388251, 0.074933761174898, 0.091732905491768, 0.074933761174898, 0.56383187935789, 0.43616812064211, 0.063831879357891, 0.43616812064211, 0.23049854602456, 0.10283478730877, 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0.20026495530041, 0.29973504469959, 0.03359828863374, 0.29973504469959, 0.20026495530041, 0.049735044699592, 0.10026495530041, 0.099735044699594, 0.03359828863374, 0.13306837803293, 0.25532751743156, 0.74467248256844, 0.25532751743156, 0.24467248256844, 0.25532751743157, 0.078005815901766, 0.0053275174315637, 0.24467248256844, 0.055327517431562, 0.14467248256844, 0.088660850764901, 0.078005815901766, 0.72446962835144, 0.27553037164856, 0.22446962835144, 0.27553037164856, 0.057802961684772, 0.27553037164856, 0.22446962835144, 0.025530371648557, 0.12446962835144, 0.075530371648557, 0.057802961684772, 0.1088637049819, 0.10258219216228, 0.89741780783772, 0.10258219216228, 0.39741780783772, 0.10258219216228, 0.23075114117105, 0.10258219216228, 0.14741780783772, 0.10258219216228, 0.097417807837718, 0.10258219216228, 0.064084474504388, 0.38425231031485, 0.61574768968515, 0.38425231031485, 0.11574768968515, 0.050918976981516, 0.28241435635182, 0.13425231031485, 0.11574768968515, 0.18425231031485, 0.015747689685151, 0.050918976981516, 0.11574768968515, 0.56374521656272, 0.43625478343728, 0.063745216562722, 0.43625478343728, 0.23041188322939, 0.10292145010394, 0.063745216562722, 0.18625478343728, 0.16374521656272, 0.036254783437278, 0.063745216562722, 0.10292145010394, 0.63498513771305, 0.36501486228695, 0.13498513771305, 0.36501486228695, 0.30165180437972, 0.031681528953617, 0.13498513771305, 0.11501486228695, 0.034985137713051, 0.16501486228695, 0.13498513771305, 0.031681528953617, 0.5915350162983, 0.4084649837017, 0.091535016298302, 0.4084649837017, 0.25820168296497, 0.075131650368367, 0.091535016298302, 0.1584649837017, 0.1915350162983, 0.0084649837017025, 0.091535016298299, 0.075131650368367, 0.42657502749535, 0.57342497250465, 0.42657502749535, 0.073424972504654, 0.093241694162018, 0.24009163917132, 0.17657502749535, 0.073424972504654, 0.026575027495346, 0.17342497250465, 0.093241694162018, 0.073424972504649, 0.13287981859411, 0.86712018140589, 0.13287981859411, 0.36712018140589, 0.13287981859411, 0.20045351473923, 0.13287981859411, 0.11712018140589, 0.1328798185941, 0.067120181405897, 0.13287981859411, 0.033786848072561, 0.7027943950545, 0.2972056049455, 0.2027943950545, 0.2972056049455, 0.03612772838783, 0.2972056049455, 0.2027943950545, 0.047205604945496, 0.10279439505451, 0.097205604945492, 0.03612772838783, 0.13053893827884, 0.12820857267382, 0.87179142732618, 0.12820857267382, 0.37179142732618, 0.12820857267382, 0.20512476065952, 0.12820857267382, 0.12179142732618, 0.12820857267383, 0.071791427326173, 0.12820857267382, 0.038458093992849, 0.40052991060082, 0.59947008939918, 0.40052991060082, 0.099470089399183, 0.067196577267481, 0.26613675606585, 0.15052991060082, 0.099470089399183, 0.0005299106008124, 0.19947008939919, 0.067196577267481, 0.099470089399186, 0.51065503486313, 0.48934496513687, 0.010655034863127, 0.48934496513687, 0.1773217015298, 0.15601163180353, 0.010655034863127, 0.23934496513687, 0.11065503486312, 0.089344965136877, 0.010655034863134, 0.15601163180353, 0.44893925670289, 0.55106074329711, 0.44893925670289, 0.051060743297114, 0.11560592336954, 0.21772740996379, 0.19893925670289, 0.051060743297114, 0.048939256702886, 0.15106074329711, 0.11560592336954, 0.051060743297124, 0.20516438432456, 0.79483561567544, 0.20516438432456, 0.29483561567544, 0.20516438432456, 0.12816894900878, 0.20516438432456, 0.044835615675439, 0.0051643843245643, 0.19483561567544, 0.03849771765789, 0.12816894900878, 0.7685046206297, 0.2314953793703, 0.2685046206297, 0.2314953793703, 0.10183795396303, 0.2314953793703, 0.018504620629699, 0.2314953793703, 0.1685046206297, 0.031495379370301, 0.10183795396303, 0.064828712703635, 0.12749043312544, 0.87250956687456, 0.12749043312544, 0.37250956687456, 0.12749043312544, 0.20584290020789, 0.12749043312544, 0.12250956687456, 0.12749043312544, 0.072509566874555, 0.12749043312544, 0.039176233541222, 0.2699702754261, 0.7300297245739, 0.2699702754261, 0.2300297245739, 0.2699702754261, 0.063363057907234, 0.019970275426104, 0.2300297245739, 0.069970275426101, 0.1300297245739, 0.10330360875943, 0.063363057907234, 0.1830700325966, 0.8169299674034, 0.1830700325966, 0.3169299674034, 0.1830700325966, 0.15026330073673, 0.1830700325966, 0.066929967403397, 0.18307003259659, 0.016929967403405, 0.016403365929932, 0.15026330073673, 0.85315005499069, 0.14684994500931, 0.35315005499069, 0.14684994500931, 0.18648338832404, 0.1468499450093, 0.10315005499069, 0.14684994500931, 0.053150054990692, 0.14684994500931, 0.019816721657368, 0.1468499450093, 0.26575963718821, 0.73424036281179, 0.26575963718821, 0.23424036281179, 0.26575963718821, 0.067573696145123, 0.015759637188211, 0.23424036281179, 0.065759637188205, 0.13424036281179, 0.099092970521544, 0.067573696145123, 0.40558879010901, 0.59441120989099, 0.40558879010901, 0.094411209890993, 0.07225545677566, 0.26107787655767, 0.15558879010901, 0.094411209890993, 0.0055887901090159, 0.19441120989098, 0.07225545677566, 0.094411209891007, 0.25641714534767, 0.74358285465233, 0.25641714534767, 0.24358285465233, 0.25641714534767, 0.07691618798566, 0.0064171453476689, 0.24358285465233, 0.056417145347666, 0.14358285465233, 0.089750478681007, 0.07691618798566, 0.80105982120163, 0.19894017879837, 0.30105982120163, 0.19894017879837, 0.13439315453496, 0.19894017879837, 0.051059821201633, 0.19894017879837, 0.0010598212016248, 0.19894017879838, 0.13439315453496, 0.032273512131705, 0.021310069726255, 0.97868993027375, 0.021310069726255, 0.47868993027375, 0.021310069726269, 0.31202326360706, 0.021310069726255, 0.22868993027375, 0.021310069726246, 0.17868993027375, 0.021310069726269, 0.1453565969404, 0.89787851340579, 0.10212148659421, 0.39787851340579, 0.10212148659421, 0.23121184673912, 0.10212148659421, 0.14787851340579, 0.10212148659421, 0.097878513405794, 0.10212148659421, 0.064545180072457, 0.10212148659421, 0.41032876864912, 0.58967123135088, 0.41032876864912, 0.089671231350877, 0.07699543531578, 0.25633789801755, 0.16032876864912, 0.089671231350877, 0.010328768649129, 0.18967123135087, 0.07699543531578, 0.089671231350887, 0.5370092412594, 0.4629907587406, 0.037009241259398, 0.4629907587406, 0.20367590792606, 0.12965742540727, 0.037009241259398, 0.2129907587406, 0.1370092412594, 0.062990758740602, 0.037009241259398, 0.12965742540727, 0.25498086625089, 0.74501913374911, 0.25498086625089, 0.24501913374911, 0.25498086625089, 0.078352467082444, 0.0049808662508894, 0.24501913374911, 0.054980866250889, 0.14501913374911, 0.088314199584223, 0.078352467082444, 0.53994055085221, 0.46005944914779, 0.039940550852208, 0.46005944914779, 0.20660721751887, 0.12672611581447, 0.039940550852208, 0.21005944914779, 0.1399405508522, 0.060059449147798, 0.039940550852198, 0.12672611581447, 0.36614006519321, 0.63385993480679, 0.36614006519321, 0.13385993480679, 0.032806731859864, 0.30052660147347, 0.11614006519321, 0.13385993480679, 0.16614006519319, 0.03385993480681, 0.032806731859864, 0.1338599348068, 0.70630010998138, 0.29369989001862, 0.20630010998138, 0.29369989001862, 0.039633443314737, 0.2936998900186, 0.20630010998138, 0.043699890018615, 0.10630010998138, 0.093699890018615, 0.039633443314737, 0.12703322335193 };
40 static int g_bins44100
[720]= { 5, 6, 10, 11, 15, 16, 20, 21, 25, 26, 30, 31, 5, 6, 10, 11, 16, 17, 21, 22, 27, 28, 32, 33, 5, 6, 11, 12, 17, 18, 22, 23, 28, 29, 34, 35, 6, 7, 12, 13, 18, 19, 24, 25, 30, 31, 36, 37, 6, 7, 12, 13, 19, 20, 25, 26, 32, 33, 38, 39, 6, 7, 13, 14, 20, 21, 27, 28, 34, 35, 40, 41, 7, 8, 14, 15, 21, 22, 28, 29, 36, 37, 43, 44, 7, 8, 15, 16, 22, 23, 30, 31, 38, 39, 45, 46, 8, 9, 16, 17, 24, 25, 32, 33, 40, 41, 48, 49, 8, 9, 17, 18, 25, 26, 34, 35, 42, 43, 51, 52, 9, 10, 18, 19, 27, 28, 36, 37, 45, 46, 54, 55, 9, 10, 19, 20, 28, 29, 38, 39, 48, 49, 57, 58, 10, 11, 20, 21, 30, 31, 40, 41, 51, 52, 61, 62, 10, 11, 21, 22, 32, 33, 43, 44, 54, 55, 64, 65, 11, 12, 22, 23, 34, 35, 45, 46, 57, 58, 68, 69, 12, 13, 24, 25, 36, 37, 48, 49, 60, 61, 72, 73, 12, 13, 25, 26, 38, 39, 51, 52, 64, 65, 77, 78, 13, 14, 27, 28, 40, 41, 54, 55, 68, 69, 81, 82, 14, 15, 28, 29, 43, 44, 57, 58, 72, 73, 86, 87, 15, 16, 30, 31, 45, 46, 61, 62, 76, 77, 91, 92, 16, 17, 32, 33, 48, 49, 64, 65, 81, 82, 97, 98, 17, 18, 34, 35, 51, 52, 68, 69, 85, 86, 103, 104, 18, 19, 36, 37, 54, 55, 72, 73, 91, 92, 109, 110, 19, 20, 38, 39, 57, 58, 77, 78, 96, 97, 115, 116, 20, 21, 40, 41, 61, 62, 81, 82, 102, 103, 122, 123, 21, 22, 43, 44, 64, 65, 86, 87, 108, 109, 129, 130, 22, 23, 45, 46, 68, 69, 91, 92, 114, 115, 137, 138, 24, 25, 48, 49, 72, 73, 97, 98, 121, 122, 145, 146, 25, 26, 51, 52, 77, 78, 102, 103, 128, 129, 154, 155, 27, 28, 54, 55, 81, 82, 109, 110, 136, 137, 163, 164, 28, 29, 57, 58, 86, 87, 115, 116, 144, 145, 173, 174, 30, 31, 61, 62, 91, 92, 122, 123, 153, 154, 183, 184, 32, 33, 64, 65, 97, 98, 129, 130, 162, 163, 194, 195, 34, 35, 68, 69, 103, 104, 137, 138, 171, 172, 206, 207, 36, 37, 72, 73, 109, 110, 145, 146, 182, 183, 218, 219, 38, 39, 77, 78, 115, 116, 154, 155, 192, 193, 231, 232, 40, 41, 81, 82, 122, 123, 163, 164, 204, 205, 245, 246, 43, 44, 86, 87, 129, 130, 173, 174, 216, 217, 259, 260, 45, 46, 91, 92, 137, 138, 183, 184, 229, 230, 275, 276, 48, 49, 97, 98, 145, 146, 194, 195, 242, 243, 291, 292, 51, 52, 102, 103, 154, 155, 205, 206, 257, 258, 308, 309, 54, 55, 109, 110, 163, 164, 218, 219, 272, 273, 327, 328, 57, 58, 115, 116, 173, 174, 231, 232, 288, 289, 346, 347, 61, 62, 122, 123, 183, 184, 244, 245, 306, 307, 367, 368, 64, 65, 129, 130, 194, 195, 259, 260, 324, 325, 389, 390, 68, 69, 137, 138, 206, 207, 274, 275, 343, 344, 412, 413, 72, 73, 145, 146, 218, 219, 291, 292, 364, 365, 436, 437, 77, 78, 154, 155, 231, 232, 308, 309, 385, 386, 462, 463, 81, 82, 163, 164, 245, 246, 326, 327, 408, 409, 490, 491, 86, 87, 173, 174, 259, 260, 346, 347, 432, 433, 519, 520, 91, 92, 183, 184, 275, 276, 366, 367, 458, 459, 550, 551, 97, 98, 194, 195, 291, 292, 388, 389, 485, 486, 583, 584, 102, 103, 205, 206, 308, 309, 411, 412, 514, 515, 617, 618, 109, 110, 218, 219, 327, 328, 436, 437, 545, 546, 654, 655, 115, 116, 231, 232, 346, 347, 462, 463, 577, 578, 693, 694, 122, 123, 244, 245, 367, 368, 489, 490, 612, 613, 734, 735, 129, 130, 259, 260, 389, 390, 518, 519, 648, 649, 778, 779, 137, 138, 274, 275, 412, 413, 549, 550, 687, 688, 824, 825, 145, 146, 291, 292, 436, 437, 582, 583, 728, 729, 873, 874, 154, 155, 308, 309, 462, 463, 617, 618, 771, 772, 925, 926 };
42 //4096 FFT at 48000 SR
43 static float g_weights48000
[720]= { 0.30666666666667, 0.69333333333333, 0.30666666666667, 0.19333333333333, 0.30666666666667, 0.026666666666667, 0.056666666666667, 0.19333333333333, 0.10666666666667, 0.093333333333333, 0.14, 0.026666666666667, 0.027586543807041, 0.97241345619296, 0.027586543807041, 0.47241345619296, 0.02758654380704, 0.30574678952629, 0.027586543807041, 0.22241345619296, 0.027586543807041, 0.17241345619296, 0.02758654380704, 0.13908012285963, 0.73191145326801, 0.26808854673199, 0.23191145326801, 0.26808854673199, 0.065244786601342, 0.26808854673199, 0.23191145326801, 0.018088546731992, 0.13191145326801, 0.068088546731992, 0.065244786601342, 0.10142188006533, 0.41865460692056, 0.58134539307944, 0.41865460692056, 0.081345393079437, 0.08532127358723, 0.2480120597461, 0.16865460692056, 0.081345393079437, 0.018654606920562, 0.18134539307944, 0.08532127358723, 0.081345393079437, 0.086770539160062, 0.91322946083994, 0.086770539160062, 0.41322946083994, 0.086770539160063, 0.24656279417327, 0.086770539160062, 0.16322946083994, 0.086770539160062, 0.11322946083994, 0.086770539160063, 0.079896127506604, 0.73515161776197, 0.26484838223803, 0.23515161776197, 0.26484838223803, 0.068484951095304, 0.26484838223803, 0.23515161776197, 0.014848382238029, 0.13515161776197, 0.064848382238029, 0.068484951095304, 0.098181715571363, 0.36262434726227, 0.63737565273773, 0.36262434726227, 0.13737565273773, 0.02929101392894, 0.30404231940439, 0.11262434726227, 0.13737565273773, 0.16262434726227, 0.037375652737727, 0.02929101392894, 0.13737565273773, 0.96794545252544, 0.032054547474559, 0.46794545252544, 0.032054547474559, 0.30127878585877, 0.03205454747456, 0.21794545252544, 0.032054547474559, 0.16794545252544, 0.03205454747456, 0.13461211919211, 0.03205454747456, 0.54979772942925, 0.45020227057075, 0.049797729429249, 0.45020227057075, 0.21646439609592, 0.11686893723742, 0.049797729429249, 0.20020227057075, 0.14979772942925, 0.05020227057075, 0.049797729429249, 0.11686893723742, 0.10678564881847, 0.89321435118153, 0.10678564881847, 0.39321435118153, 0.10678564881847, 0.22654768451487, 0.10678564881847, 0.14321435118153, 0.10678564881847, 0.093214351181534, 0.10678564881847, 0.059881017848201, 0.63743069905602, 0.36256930094398, 0.13743069905602, 0.36256930094398, 0.30409736572268, 0.029235967610653, 0.13743069905602, 0.11256930094398, 0.037430699056014, 0.16256930094399, 0.13743069905601, 0.029235967610653, 0.14016645162784, 0.85983354837216, 0.14016645162784, 0.35983354837216, 0.14016645162784, 0.1931668817055, 0.14016645162784, 0.10983354837216, 0.14016645162784, 0.059833548372163, 0.14016645162784, 0.02650021503883, 0.61333333333333, 0.38666666666667, 0.11333333333333, 0.38666666666667, 0.28, 0.053333333333333, 0.11333333333333, 0.13666666666667, 0.013333333333334, 0.18666666666667, 0.11333333333333, 0.053333333333333, 0.055173087614081, 0.94482691238592, 0.055173087614081, 0.44482691238592, 0.055173087614081, 0.27816024571925, 0.055173087614081, 0.19482691238592, 0.055173087614082, 0.14482691238592, 0.055173087614081, 0.11149357905259, 0.46382290653602, 0.53617709346398, 0.46382290653602, 0.036177093463982, 0.13048957320268, 0.20284376013065, 0.21382290653602, 0.036177093463982, 0.063822906536019, 0.13617709346398, 0.13048957320268, 0.036177093463982, 0.83730921384113, 0.16269078615887, 0.33730921384113, 0.16269078615887, 0.17064254717446, 0.16269078615887, 0.087309213841126, 0.16269078615887, 0.037309213841124, 0.16269078615888, 0.0039758805077928, 0.16269078615887, 0.17354107832012, 0.82645892167988, 0.17354107832012, 0.32645892167988, 0.17354107832013, 0.15979225501321, 0.17354107832012, 0.076458921679876, 0.17354107832012, 0.026458921679875, 0.0068744116534584, 0.15979225501321, 0.47030323552394, 0.52969676447606, 0.47030323552394, 0.029696764476057, 0.13696990219061, 0.19636343114272, 0.22030323552394, 0.029696764476057, 0.070303235523944, 0.12969676447606, 0.13696990219061, 0.029696764476057, 0.72524869452455, 0.27475130547545, 0.22524869452455, 0.27475130547545, 0.058582027857881, 0.27475130547545, 0.22524869452455, 0.024751305475453, 0.12524869452455, 0.074751305475453, 0.058582027857881, 0.10808463880879, 0.93589090505088, 0.064109094949119, 0.43589090505088, 0.064109094949119, 0.26922423838421, 0.06410909494912, 0.18589090505088, 0.064109094949119, 0.13589090505088, 0.06410909494912, 0.10255757171755, 0.06410909494912, 0.0995954588585, 0.9004045411415, 0.0995954588585, 0.4004045411415, 0.0995954588585, 0.23373787447483, 0.0995954588585, 0.1504045411415, 0.099595458858502, 0.1004045411415, 0.0995954588585, 0.067071207808167, 0.21357129763693, 0.78642870236307, 0.21357129763693, 0.28642870236307, 0.21357129763693, 0.1197620356964, 0.21357129763693, 0.036428702363068, 0.013571297636932, 0.18642870236307, 0.046904630970265, 0.1197620356964, 0.27486139811203, 0.72513860188797, 0.27486139811203, 0.22513860188797, 0.27486139811203, 0.058471935221306, 0.02486139811203, 0.22513860188797, 0.074861398112029, 0.12513860188797, 0.10819473144536, 0.058471935221306, 0.28033290325568, 0.71966709674432, 0.28033290325568, 0.21966709674432, 0.28033290325568, 0.053000430077657, 0.030332903255676, 0.21966709674432, 0.080332903255675, 0.11966709674433, 0.11366623658901, 0.053000430077657, 0.22666666666667, 0.77333333333333, 0.22666666666667, 0.27333333333333, 0.22666666666667, 0.10666666666667, 0.22666666666667, 0.023333333333333, 0.026666666666668, 0.17333333333333, 0.06, 0.10666666666667, 0.11034617522816, 0.88965382477184, 0.11034617522816, 0.38965382477184, 0.11034617522816, 0.22298715810517, 0.11034617522816, 0.13965382477184, 0.11034617522816, 0.089653824771835, 0.11034617522816, 0.056320491438505, 0.92764581307204, 0.072354186927964, 0.42764581307204, 0.072354186927964, 0.26097914640537, 0.072354186927965, 0.17764581307204, 0.072354186927964, 0.12764581307204, 0.072354186927961, 0.094312479738702, 0.072354186927965, 0.67461842768225, 0.32538157231775, 0.17461842768225, 0.32538157231775, 0.0079517610155856, 0.32538157231775, 0.17461842768225, 0.075381572317749, 0.074618427682248, 0.12538157231775, 0.0079517610155856, 0.15871490565108, 0.34708215664025, 0.65291784335975, 0.34708215664025, 0.15291784335975, 0.013748823306917, 0.31958451002642, 0.097082156640248, 0.15291784335975, 0.14708215664025, 0.052917843359751, 0.013748823306917, 0.15291784335975, 0.94060647104789, 0.059393528952114, 0.44060647104789, 0.059393528952114, 0.27393980438122, 0.059393528952114, 0.19060647104789, 0.059393528952114, 0.14060647104789, 0.059393528952111, 0.10727313771455, 0.059393528952114, 0.45049738904909, 0.54950261095091, 0.45049738904909, 0.049502610950906, 0.11716405571576, 0.21616927761757, 0.20049738904909, 0.049502610950906, 0.050497389049093, 0.14950261095091, 0.11716405571576, 0.049502610950905, 0.87178181010177, 0.12821818989823, 0.37178181010177, 0.12821818989823, 0.2051151434351, 0.12821818989823, 0.12178181010177, 0.12821818989823, 0.071781810101766, 0.12821818989823, 0.038448476768437, 0.12821818989823, 0.199190917717, 0.800809082283, 0.199190917717, 0.300809082283, 0.199190917717, 0.13414241561633, 0.199190917717, 0.050809082282999, 0.199190917717, 0.00080908228299563, 0.032524251050333, 0.13414241561633, 0.42714259527386, 0.57285740472614, 0.42714259527386, 0.072857404726136, 0.093809261940531, 0.2395240713928, 0.17714259527386, 0.072857404726136, 0.027142595273864, 0.17285740472614, 0.093809261940531, 0.072857404726136, 0.54972279622406, 0.45027720377594, 0.04972279622406, 0.45027720377594, 0.21638946289073, 0.1169438704426, 0.04972279622406, 0.20027720377594, 0.14972279622406, 0.050277203775937, 0.049722796224065, 0.1169438704426, 0.56066580651135, 0.43933419348865, 0.060665806511352, 0.43933419348865, 0.22733247317802, 0.10600086015531, 0.060665806511352, 0.18933419348865, 0.16066580651135, 0.039334193488651, 0.060665806511352, 0.10600086015531, 0.45333333333333, 0.54666666666667, 0.45333333333333, 0.046666666666667, 0.12, 0.21333333333333, 0.20333333333333, 0.046666666666667, 0.053333333333336, 0.14666666666666, 0.12, 0.046666666666667, 0.22069235045632, 0.77930764954368, 0.22069235045632, 0.27930764954368, 0.22069235045632, 0.11264098287701, 0.22069235045632, 0.029307649543675, 0.020692350456329, 0.17930764954367, 0.054025683789656, 0.11264098287701, 0.85529162614407, 0.14470837385593, 0.35529162614407, 0.14470837385593, 0.1886249594774, 0.14470837385593, 0.10529162614407, 0.14470837385593, 0.055291626144077, 0.14470837385592, 0.021958292810737, 0.14470837385593, 0.3492368553645, 0.6507631446355, 0.3492368553645, 0.1507631446355, 0.015903522031171, 0.31742981130216, 0.099236855364502, 0.1507631446355, 0.1492368553645, 0.050763144635505, 0.015903522031171, 0.1507631446355, 0.6941643132805, 0.3058356867195, 0.1941643132805, 0.3058356867195, 0.027497646613834, 0.3058356867195, 0.1941643132805, 0.055835686719504, 0.094164313280498, 0.1058356867195, 0.027497646613834, 0.13916902005283, 0.88121294209577, 0.11878705790423, 0.38121294209577, 0.11878705790423, 0.21454627542911, 0.11878705790423, 0.13121294209577, 0.11878705790423, 0.081212942095777, 0.11878705790422, 0.047879608762438, 0.11878705790423, 0.90099477809819, 0.099005221901812, 0.40099477809819, 0.099005221901812, 0.23432811143152, 0.09900522190181, 0.15099477809819, 0.099005221901812, 0.10099477809819, 0.099005221901814, 0.067661444764857, 0.09900522190181, 0.74356362020353, 0.25643637979647, 0.24356362020353, 0.25643637979647, 0.076896953536874, 0.25643637979646, 0.24356362020353, 0.0064363797964688, 0.14356362020353, 0.056436379796469, 0.076896953536874, 0.089769713129793, 0.398381835434, 0.601618164566, 0.398381835434, 0.101618164566, 0.065048502100666, 0.26828483123267, 0.148381835434, 0.101618164566, 0.19838183543401, 0.0016181645659913, 0.065048502100666, 0.101618164566, 0.85428519054773, 0.14571480945227, 0.35428519054773, 0.14571480945227, 0.18761852388106, 0.14571480945227, 0.10428519054773, 0.14571480945227, 0.054285190547728, 0.14571480945227, 0.020951857214394, 0.14571480945227, 0.09944559244812, 0.90055440755188, 0.09944559244812, 0.40055440755188, 0.09944559244813, 0.2338877408852, 0.09944559244812, 0.15055440755188, 0.099445592448126, 0.10055440755187, 0.09944559244813, 0.067221074218537, 0.1213316130227, 0.8786683869773, 0.1213316130227, 0.3786683869773, 0.1213316130227, 0.21200172031063, 0.1213316130227, 0.1286683869773, 0.1213316130227, 0.078668386977301, 0.1213316130227, 0.045335053643962, 0.90666666666667, 0.093333333333334, 0.40666666666667, 0.093333333333334, 0.24, 0.093333333333334, 0.15666666666667, 0.093333333333334, 0.10666666666667, 0.093333333333328, 0.073333333333333, 0.093333333333334, 0.44138470091265, 0.55861529908735, 0.44138470091265, 0.05861529908735, 0.10805136757931, 0.22528196575402, 0.19138470091265, 0.05861529908735, 0.041384700912658, 0.15861529908734, 0.10805136757931, 0.058615299087355, 0.71058325228817, 0.28941674771183, 0.21058325228817, 0.28941674771183, 0.043916585621503, 0.28941674771183, 0.21058325228817, 0.039416747711826, 0.11058325228817, 0.089416747711834, 0.043916585621503, 0.12275008104516, 0.698473710729, 0.301526289271, 0.198473710729, 0.301526289271, 0.031807044062343, 0.30152628927099, 0.198473710729, 0.051526289270996, 0.09847371072899, 0.10152628927101, 0.031807044062343, 0.13485962260432, 0.38832862656099, 0.61167137343901, 0.38832862656099, 0.11167137343901, 0.054995293227667, 0.27833804010567, 0.13832862656099, 0.11167137343901, 0.188328626561, 0.011671373439003, 0.054995293227667, 0.111671373439, 0.76242588419157, 0.23757411580843, 0.26242588419157, 0.23757411580843, 0.095759217524896, 0.23757411580844, 0.012425884191572, 0.23757411580843, 0.16242588419157, 0.037574115808434, 0.095759217524896, 0.070907449141771, 0.80198955619638, 0.19801044380362, 0.30198955619638, 0.19801044380362, 0.13532288952971, 0.19801044380362, 0.051989556196375, 0.19801044380362, 0.0019895561963722, 0.19801044380363, 0.13532288952971, 0.031343777136954, 0.48712724040706, 0.51287275959294, 0.48712724040706, 0.012872759592938, 0.15379390707375, 0.17953942625959, 0.23712724040706, 0.012872759592938, 0.087127240407062, 0.11287275959294, 0.15379390707375, 0.012872759592919, 0.796763670868, 0.203236329132, 0.296763670868, 0.203236329132, 0.13009700420133, 0.203236329132, 0.046763670868003, 0.203236329132, 0.19676367086802, 0.0032363291319825, 0.13009700420133, 0.036569662465335, 0.70857038109546, 0.29142961890454, 0.20857038109546, 0.29142961890454, 0.041903714428789, 0.29142961890454, 0.20857038109546, 0.041429618904544, 0.10857038109546, 0.091429618904544, 0.041903714428789, 0.12476295223788, 0.19889118489624, 0.80110881510376, 0.19889118489624, 0.30110881510376, 0.19889118489626, 0.13444214843707, 0.19889118489624, 0.05110881510376, 0.19889118489625, 0.0011088151037484, 0.032224518229593, 0.13444214843707, 0.24266322604541, 0.75733677395459, 0.24266322604541, 0.25733677395459, 0.24266322604541, 0.090670107287925, 0.24266322604541, 0.0073367739545915, 0.042663226045397, 0.1573367739546, 0.075996559378742, 0.090670107287925 };
44 static int g_bins48000
[720]= { 4, 5, 9, 10, 14, 15, 18, 19, 23, 24, 28, 29, 4, 5, 9, 10, 14, 15, 19, 20, 24, 25, 29, 30, 5, 6, 10, 11, 15, 16, 21, 22, 26, 27, 31, 32, 5, 6, 11, 12, 16, 17, 22, 23, 27, 28, 33, 34, 5, 6, 11, 12, 17, 18, 23, 24, 29, 30, 35, 36, 6, 7, 12, 13, 18, 19, 25, 26, 31, 32, 37, 38, 6, 7, 13, 14, 19, 20, 26, 27, 33, 34, 39, 40, 7, 8, 14, 15, 21, 22, 28, 29, 35, 36, 42, 43, 7, 8, 14, 15, 22, 23, 29, 30, 37, 38, 44, 45, 7, 8, 15, 16, 23, 24, 31, 32, 39, 40, 47, 48, 8, 9, 16, 17, 25, 26, 33, 34, 41, 42, 50, 51, 8, 9, 17, 18, 26, 27, 35, 36, 44, 45, 53, 54, 9, 10, 18, 19, 28, 29, 37, 38, 46, 47, 56, 57, 9, 10, 19, 20, 29, 30, 39, 40, 49, 50, 59, 60, 10, 11, 21, 22, 31, 32, 42, 43, 52, 53, 63, 64, 11, 12, 22, 23, 33, 34, 44, 45, 55, 56, 66, 67, 11, 12, 23, 24, 35, 36, 47, 48, 59, 60, 70, 71, 12, 13, 25, 26, 37, 38, 50, 51, 62, 63, 75, 76, 13, 14, 26, 27, 39, 40, 53, 54, 66, 67, 79, 80, 14, 15, 28, 29, 42, 43, 56, 57, 70, 71, 84, 85, 14, 15, 29, 30, 44, 45, 59, 60, 74, 75, 89, 90, 15, 16, 31, 32, 47, 48, 63, 64, 78, 79, 94, 95, 16, 17, 33, 34, 50, 51, 66, 67, 83, 84, 100, 101, 17, 18, 35, 36, 53, 54, 70, 71, 88, 89, 106, 107, 18, 19, 37, 38, 56, 57, 75, 76, 93, 94, 112, 113, 19, 20, 39, 40, 59, 60, 79, 80, 99, 100, 119, 120, 21, 22, 42, 43, 63, 64, 84, 85, 105, 106, 126, 127, 22, 23, 44, 45, 66, 67, 89, 90, 111, 112, 133, 134, 23, 24, 47, 48, 70, 71, 94, 95, 118, 119, 141, 142, 25, 26, 50, 51, 75, 76, 100, 101, 125, 126, 150, 151, 26, 27, 53, 54, 79, 80, 106, 107, 132, 133, 159, 160, 28, 29, 56, 57, 84, 85, 112, 113, 140, 141, 168, 169, 29, 30, 59, 60, 89, 90, 119, 120, 149, 150, 178, 179, 31, 32, 63, 64, 94, 95, 126, 127, 157, 158, 189, 190, 33, 34, 66, 67, 100, 101, 133, 134, 167, 168, 200, 201, 35, 36, 70, 71, 106, 107, 141, 142, 177, 178, 212, 213, 37, 38, 75, 76, 112, 113, 150, 151, 187, 188, 225, 226, 39, 40, 79, 80, 119, 120, 159, 160, 198, 199, 238, 239, 42, 43, 84, 85, 126, 127, 168, 169, 210, 211, 252, 253, 44, 45, 89, 90, 133, 134, 178, 179, 223, 224, 267, 268, 47, 48, 94, 95, 141, 142, 189, 190, 236, 237, 283, 284, 50, 51, 100, 101, 150, 151, 200, 201, 250, 251, 300, 301, 53, 54, 106, 107, 159, 160, 212, 213, 265, 266, 318, 319, 56, 57, 112, 113, 168, 169, 225, 226, 281, 282, 337, 338, 59, 60, 119, 120, 178, 179, 238, 239, 298, 299, 357, 358, 63, 64, 126, 127, 189, 190, 252, 253, 315, 316, 378, 379, 66, 67, 133, 134, 200, 201, 267, 268, 334, 335, 401, 402, 70, 71, 141, 142, 212, 213, 283, 284, 354, 355, 425, 426, 75, 76, 150, 151, 225, 226, 300, 301, 375, 376, 450, 451, 79, 80, 159, 160, 238, 239, 318, 319, 397, 398, 477, 478, 84, 85, 168, 169, 252, 253, 337, 338, 421, 422, 505, 506, 89, 90, 178, 179, 267, 268, 357, 358, 446, 447, 535, 536, 94, 95, 189, 190, 283, 284, 378, 379, 473, 474, 567, 568, 100, 101, 200, 201, 300, 301, 400, 401, 501, 502, 601, 602, 106, 107, 212, 213, 318, 319, 424, 425, 530, 531, 637, 638, 112, 113, 225, 226, 337, 338, 450, 451, 562, 563, 675, 676, 119, 120, 238, 239, 357, 358, 476, 477, 596, 597, 715, 716, 126, 127, 252, 253, 378, 379, 505, 506, 631, 632, 757, 758, 133, 134, 267, 268, 401, 402, 535, 536, 669, 670, 802, 803, 141, 142, 283, 284, 425, 426, 567, 568, 708, 709, 850, 851 };
46 //Krumhansl Kessler profiles (normalised)
47 //double g_kkminor[12] = { 0.14221523253202, 0.060211188496967, 0.079083352055718, 0.12087171422152, 0.05841383958661, 0.079308020669512, 0.057065827903842, 0.10671759155246, 0.089418108290272, 0.060435857110762, 0.075039317007414, 0.071219950572905 };
48 //double g_kkmajor[12] = { 0.15195022732711, 0.053362048336923, 0.083273510409189, 0.055754965302704, 0.10480976310122, 0.097870303900455, 0.060301507537688, 0.12419239052405, 0.057190715482173, 0.087580760947595, 0.054797798516391, 0.068916008614501 };
50 //following Izmirli; see MIREX2006
51 static double g_diatonicmajor
[12] = { 5.0, 0.0, 3.5, 0.0, 4.5, 4.0, 0.0, 4.5, 0.0, 3.5, 0.0, 4.0};
52 static double g_diatonicminor
[12] = { 5.0, 0.0, 3.5, 4.5, 0.0, 4.0, 0.0, 4.5, 3.5, 0.0, 0.0, 4.0};
54 static int g_minor
[7] = {0,2,3,5,7,8,11};
55 static int g_major
[7] = {0,2,4,5,7,9,11};
59 static void KeyTrack_calculatekey(KeyTrack
*, uint32
);
62 void KeyTrack_Ctor(KeyTrack
* unit
)
64 unit
->m_srate
= unit
->mWorld
->mFullRate
.mSampleRate
;
66 //if sample rate is 88200 or 96000, assume taking double size FFT to start with
67 if(unit
->m_srate
> (44100.0*1.5)) unit
->m_srate
= unit
->m_srate
*0.5;
69 if(((int)(unit
->m_srate
+0.01))==44100)
71 unit
->m_weights
= g_weights44100
;
72 unit
->m_bins
= g_bins44100
;
73 unit
->m_frameperiod
= 0.046439909297052;
75 else //else 48000; potentially dangerous if it isn't! Fortunately, shouldn't write any data to unknown memory
77 unit
->m_weights
= g_weights48000
;
78 unit
->m_bins
= g_bins48000
;
79 unit
->m_frameperiod
= 0.042666666666667;
82 //only need space for half!
83 unit
->m_FFTBuf
= (float*)RTAlloc(unit
->mWorld
, NOVER2
* sizeof(float));
86 Clear(12, unit
->m_chroma
);
87 Clear(24, unit
->m_key
);
88 Clear(24, unit
->m_histogram
);
91 // unit->m_leaknote[j]=0.0;
94 // for(j=0;j<360;++j) {
95 // unit->m_prevphase[j]=0.0;
99 //unit->m_triggerid=(int)ZIN0(1);
101 unit
->m_currentKey
=0;
105 unit
->mCalcFunc
= (UnitCalcFunc
)&KeyTrack_next
;
109 void KeyTrack_Dtor(KeyTrack
*unit
)
111 RTFree(unit
->mWorld
, unit
->m_FFTBuf
);
115 void KeyTrack_next(KeyTrack
*unit
, int wrongNumSamples
)
117 //int numSamples = unit->mWorld->mFullRate.mBufLength;
119 //float *output = ZOUT(0);
121 float fbufnum
= ZIN0(0)+0.001;
123 //next FFT bufffer ready, update
124 //assuming at this point that buffer precalculated for any resampling
125 if (fbufnum
> -0.01f
) { // && ( ZIN0(3)<0.5)
127 //unit->m_frame= unit->m_frame+1;
128 KeyTrack_calculatekey(unit
, (uint32
)fbufnum
);
131 //always output current best key
132 float outval
= unit
->m_currentKey
;
134 //control rate output
139 //calculation function once FFT data ready
140 void KeyTrack_calculatekey(KeyTrack
*unit
, uint32 ibufnum
)
142 World
*world
= unit
->mWorld
;
146 if (ibufnum
>= world
->mNumSndBufs
) {
147 int localBufNum
= ibufnum
- world
->mNumSndBufs
;
148 Graph
*parent
= unit
->mParent
;
149 if(localBufNum
<= parent
->localBufNum
) {
150 buf
= parent
->mLocalSndBufs
+ localBufNum
;
152 buf
= world
->mSndBufs
;
153 if(unit
->mWorld
->mVerbosity
> -1){ Print("KeyTrack error: Buffer number overrun: %i\n", ibufnum
); }
156 buf
= world
->mSndBufs
+ ibufnum
;
160 int numbins
= buf
->samples
- 2 >> 1;
162 //assumed in this representation
163 SCComplexBuf
*p
= ToComplexApx(buf
);
165 const float * data
= buf
->data
;
167 //memcpy(unit->m_FFTBuf, data, NOVER2);
170 float * fftbuf
= unit
->m_FFTBuf
;
172 //get powers for bins
173 //don't need to calculate past half Nyquist, because no indices involved of harmonics above 10000 Hz or so (see index data at top of file)
174 for (int i
=0; i
<NOVER2
; i
+=2) {
176 fftbuf
[i
>>1] = ((data
[i
] * data
[i
]) + (data
[i
+1] * data
[i
+1]));
180 float * chroma
= unit
->m_chroma
;
183 int indexbase
, index
;
185 //experimental; added leaky integration on each note; also, only add to sum if harmonic, ie not a transient
187 float * weights
= unit
->m_weights
;
188 int * bins
= unit
->m_bins
;
190 float chromaleak
= ZIN0(2);
192 //zero for new round (should add leaky integrator here!
193 for (int i
=0;i
<12;++i
)
194 chroma
[i
] *= chromaleak
;
196 for (int i
=0;i
<60;++i
) {
197 int chromaindex
= (i
+9)%12; //starts at A1 up to G#6
201 indexbase
= 12*i
; //6 partials, 2 of each
203 //transient sum, setting up last values too
207 for(int j
=0;j
<12;++j
) { //12 if 144 data points
211 //experimental transient detection code, not reliable
212 //int binindex= unit->m_bins[index]-1;
213 //SCPolar binnow= p->bin[binindex].ToPolarApx();
214 //float phaseadvance= (binindex+1)*(TWOPI*0.5); //k * (512/44100) * (44100/1024) //convert bin number to frequency
215 //float power= binnow.mag * binnow.mag; //(p->bin[binindex].real)*(p->bin[binindex].real) + (p->bin[binindex].imag)*(p->bin[binindex].imag); //(p->bin[binindex].mag);
218 //int phaseindex= indexbase+j;
219 //float phasenow= binnow.phase; //0.0; //(p->bin[binindex].phase);
220 //float prevphase = fmod(unit->m_prevphase[index]+phaseadvance,TWOPI);
222 //a=phasenow; b=prevphase;
223 //b=phasenow; a=prevphase;
225 //if(b<a) {b= b+TWOPI;}
227 //float phasechange = sc_min(b-a,a+TWOPI-b); //more complicated, need mod 2pi and to know lower and upper
228 //phasesum+= phasechange;
229 //unit->m_prevphase[index]= phasenow;
231 //((p->bin[index-1].mag) * (p->bin[index-1].mag))
233 //printf("comparison %f %f \n",fftbuf[g_bins2[index]], power);
234 //sum+= (unit->m_weights[index])* power;
236 sum
+= (weights
[index
])* (fftbuf
[bins
[index
]]);
240 //transient test here too?
241 //if(phasesum>(5*PI)){sum=0.0;}
243 //if((i>5) && (i<15))
244 //printf("test phasesum %f \n", phasesum);
245 //unit->m_leaknote[i] = (0.8*unit->m_leaknote[i]) + sum;
247 chroma
[chromaindex
]+= sum
; //unit->m_leaknote[i]; //sum;
250 float* key
= unit
->m_key
;
253 for (int i
=0;i
<12;++i
) {
256 for (int j
=0;j
<7;++j
) {
257 indexbase
=g_major
[j
];
259 index
=(i
+indexbase
)%12;
260 //sum+=(chroma[index]*g_kkmajor[indexbase]);
262 sum
+=(chroma
[index
]*g_diatonicmajor
[indexbase
]);
266 key
[i
]=sum
; //10*log10(sum+1);
270 for (int i
=0;i
<12;++i
) {
273 for (int j
=0;j
<7;++j
) {
274 indexbase
=g_minor
[j
];
276 index
=(i
+indexbase
)%12;
277 //sum+=(chroma[index]*g_kkminor[indexbase]);
279 sum
+=(chroma
[index
]*g_diatonicminor
[indexbase
]);
286 float keyleak
= ZIN0(1); //fade parameter to 0.01 for histogram in seconds, convert to FFT frames
288 //keyleak in seconds, convert to drop time in FFT hop frames (FRAMEPERIOD)
289 keyleak
= sc_max(0.001f
,keyleak
/unit
->m_frameperiod
); //FRAMEPERIOD;
291 //now number of frames, actual leak param is decay exponent to reach 0.01 in x seconds, ie 0.01 = leakparam ** (x/ffthopsize)
293 keyleak
= pow(0.01f
,(1.f
/keyleak
));
295 float * histogram
= unit
->m_histogram
;
300 for (int i
=0;i
<24;++i
) {
301 histogram
[i
]= (keyleak
*histogram
[i
])+key
[i
];
303 if(histogram
[i
]>bestscore
) {
304 bestscore
=histogram
[i
];
308 //printf("%f ",histogram[i]);
311 //should find secondbest and only swap if win by a margin
313 //printf(" best %d \n\n",bestkey);
314 //what is winning currently? find max in histogram
315 unit
->m_currentKey
=bestkey
;
317 //about 5 times per second
318 //if((unit->m_triggerid) && ((unit->m_frame%2==0))) SendTrigger(&unit->mParent->mNode, unit->m_triggerid, bestkey);