sekai/src/hzosc.cpp

/*

  Copyright (c) 2014 Tobias Platen
  Copyright (c) 2008 MUSIC TECHNOLOGY GROUP (MTG)
  UNIVERSITAT POMPEU FABRA

  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 3 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, see <http://www.gnu.org/licenses/>.
*/

#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>

#include "sekai/hzosc.h"

double ifft_scale_sinc = 512.000000;
double ifft_tab_sinc[4096] = {
    0.000000, 0.000001, 0.000001, 0.000002, 0.000002, 0.000003, 0.000004,
    0.000004, 0.000005, 0.000006, 0.000007, 0.000007, 0.000008, 0.000009,
    0.000010, 0.000011, 0.000011, 0.000012, 0.000013, 0.000014, 0.000015,
    0.000016, 0.000017, 0.000018, 0.000019, 0.000020, 0.000021, 0.000022,
    0.000024, 0.000025, 0.000026, 0.000027, 0.000028, 0.000030, 0.000031,
    0.000032, 0.000034, 0.000035, 0.000036, 0.000038, 0.000039, 0.000041,
    0.000042, 0.000044, 0.000045, 0.000047, 0.000049, 0.000050, 0.000052,
    0.000054, 0.000055, 0.000057, 0.000059, 0.000061, 0.000063, 0.000065,
    0.000067, 0.000069, 0.000071, 0.000073, 0.000075, 0.000077, 0.000079,
    0.000081, 0.000083, 0.000086, 0.000088, 0.000090, 0.000093, 0.000095,
    0.000098, 0.000100, 0.000103, 0.000105, 0.000108, 0.000110, 0.000113,
    0.000116, 0.000119, 0.000122, 0.000124, 0.000127, 0.000130, 0.000133,
    0.000136, 0.000139, 0.000143, 0.000146, 0.000149, 0.000152, 0.000156,
    0.000159, 0.000162, 0.000166, 0.000169, 0.000173, 0.000177, 0.000180,
    0.000184, 0.000188, 0.000192, 0.000195, 0.000199, 0.000203, 0.000207,
    0.000212, 0.000216, 0.000220, 0.000224, 0.000228, 0.000233, 0.000237,
    0.000242, 0.000246, 0.000251, 0.000256, 0.000260, 0.000265, 0.000270,
    0.000275, 0.000280, 0.000285, 0.000290, 0.000295, 0.000300, 0.000306,
    0.000311, 0.000316, 0.000322, 0.000328, 0.000333, 0.000339, 0.000345,
    0.000350, 0.000356, 0.000362, 0.000368, 0.000375, 0.000381, 0.000387,
    0.000393, 0.000400, 0.000406, 0.000413, 0.000420, 0.000426, 0.000433,
    0.000440, 0.000447, 0.000454, 0.000461, 0.000468, 0.000476, 0.000483,
    0.000490, 0.000498, 0.000506, 0.000513, 0.000521, 0.000529, 0.000537,
    0.000545, 0.000553, 0.000561, 0.000570, 0.000578, 0.000586, 0.000595,
    0.000604, 0.000612, 0.000621, 0.000630, 0.000639, 0.000649, 0.000658,
    0.000667, 0.000677, 0.000686, 0.000696, 0.000706, 0.000715, 0.000725,
    0.000735, 0.000745, 0.000756, 0.000766, 0.000777, 0.000787, 0.000798,
    0.000809, 0.000820, 0.000831, 0.000842, 0.000853, 0.000864, 0.000876,
    0.000887, 0.000899, 0.000911, 0.000923, 0.000935, 0.000947, 0.000959,
    0.000972, 0.000984, 0.000997, 0.001009, 0.001022, 0.001035, 0.001048,
    0.001062, 0.001075, 0.001089, 0.001102, 0.001116, 0.001130, 0.001144,
    0.001158, 0.001172, 0.001187, 0.001201, 0.001216, 0.001231, 0.001246,
    0.001261, 0.001276, 0.001291, 0.001307, 0.001323, 0.001338, 0.001354,
    0.001370, 0.001387, 0.001403, 0.001420, 0.001436, 0.001453, 0.001470,
    0.001487, 0.001504, 0.001522, 0.001539, 0.001557, 0.001575, 0.001593,
    0.001611, 0.001630, 0.001648, 0.001667, 0.001686, 0.001705, 0.001724,
    0.001743, 0.001763, 0.001783, 0.001802, 0.001822, 0.001843, 0.001863,
    0.001884, 0.001904, 0.001925, 0.001946, 0.001967, 0.001989, 0.002010,
    0.002032, 0.002054, 0.002076, 0.002099, 0.002121, 0.002144, 0.002167,
    0.002190, 0.002213, 0.002236, 0.002260, 0.002284, 0.002308, 0.002332,
    0.002357, 0.002381, 0.002406, 0.002431, 0.002456, 0.002482, 0.002507,
    0.002533, 0.002559, 0.002585, 0.002612, 0.002638, 0.002665, 0.002692,
    0.002720, 0.002747, 0.002775, 0.002803, 0.002831, 0.002859, 0.002888,
    0.002917, 0.002946, 0.002975, 0.003004, 0.003034, 0.003064, 0.003094,
    0.003124, 0.003155, 0.003186, 0.003217, 0.003248, 0.003280, 0.003312,
    0.003344, 0.003376, 0.003408, 0.003441, 0.003474, 0.003507, 0.003541,
    0.003575, 0.003609, 0.003643, 0.003677, 0.003712, 0.003747, 0.003782,
    0.003818, 0.003854, 0.003890, 0.003926, 0.003963, 0.003999, 0.004036,
    0.004074, 0.004111, 0.004149, 0.004187, 0.004226, 0.004265, 0.004304,
    0.004343, 0.004382, 0.004422, 0.004462, 0.004503, 0.004543, 0.004584,
    0.004626, 0.004667, 0.004709, 0.004751, 0.004794, 0.004836, 0.004879,
    0.004923, 0.004966, 0.005010, 0.005054, 0.005099, 0.005144, 0.005189,
    0.005234, 0.005280, 0.005326, 0.005372, 0.005419, 0.005466, 0.005513,
    0.005561, 0.005609, 0.005657, 0.005706, 0.005755, 0.005804, 0.005853,
    0.005903, 0.005953, 0.006004, 0.006055, 0.006106, 0.006158, 0.006210,
    0.006262, 0.006314, 0.006367, 0.006421, 0.006474, 0.006528, 0.006583,
    0.006637, 0.006692, 0.006748, 0.006804, 0.006860, 0.006916, 0.006973,
    0.007030, 0.007088, 0.007146, 0.007204, 0.007263, 0.007322, 0.007381,
    0.007441, 0.007501, 0.007562, 0.007623, 0.007684, 0.007746, 0.007808,
    0.007870, 0.007933, 0.007996, 0.008060, 0.008124, 0.008188, 0.008253,
    0.008318, 0.008384, 0.008450, 0.008517, 0.008583, 0.008651, 0.008718,
    0.008786, 0.008855, 0.008924, 0.008993, 0.009063, 0.009133, 0.009204,
    0.009275, 0.009346, 0.009418, 0.009490, 0.009563, 0.009636, 0.009710,
    0.009784, 0.009858, 0.009933, 0.010009, 0.010084, 0.010161, 0.010237,
    0.010315, 0.010392, 0.010470, 0.010549, 0.010628, 0.010707, 0.010787,
    0.010868, 0.010948, 0.011030, 0.011111, 0.011194, 0.011276, 0.011360,
    0.011443, 0.011527, 0.011612, 0.011697, 0.011783, 0.011869, 0.011955,
    0.012043, 0.012130, 0.012218, 0.012307, 0.012396, 0.012485, 0.012575,
    0.012666, 0.012757, 0.012849, 0.012941, 0.013033, 0.013126, 0.013220,
    0.013314, 0.013409, 0.013504, 0.013600, 0.013696, 0.013793, 0.013890,
    0.013988, 0.014086, 0.014185, 0.014285, 0.014385, 0.014485, 0.014586,
    0.014688, 0.014790, 0.014893, 0.014996, 0.015100, 0.015204, 0.015309,
    0.015414, 0.015521, 0.015627, 0.015734, 0.015842, 0.015950, 0.016059,
    0.016169, 0.016279, 0.016390, 0.016501, 0.016613, 0.016725, 0.016838,
    0.016952, 0.017066, 0.017180, 0.017296, 0.017412, 0.017528, 0.017646,
    0.017763, 0.017882, 0.018001, 0.018120, 0.018240, 0.018361, 0.018483,
    0.018605, 0.018727, 0.018851, 0.018975, 0.019099, 0.019224, 0.019350,
    0.019477, 0.019604, 0.019732, 0.019860, 0.019989, 0.020119, 0.020249,
    0.020380, 0.020512, 0.020644, 0.020777, 0.020910, 0.021045, 0.021179,
    0.021315, 0.021451, 0.021588, 0.021726, 0.021864, 0.022003, 0.022143,
    0.022283, 0.022424, 0.022566, 0.022708, 0.022851, 0.022995, 0.023139,
    0.023284, 0.023430, 0.023577, 0.023724, 0.023872, 0.024020, 0.024170,
    0.024320, 0.024471, 0.024622, 0.024774, 0.024927, 0.025081, 0.025235,
    0.025391, 0.025546, 0.025703, 0.025860, 0.026018, 0.026177, 0.026337,
    0.026497, 0.026658, 0.026820, 0.026982, 0.027146, 0.027310, 0.027474,
    0.027640, 0.027806, 0.027973, 0.028141, 0.028310, 0.028479, 0.028649,
    0.028820, 0.028992, 0.029164, 0.029338, 0.029512, 0.029687, 0.029862,
    0.030039, 0.030216, 0.030394, 0.030573, 0.030752, 0.030933, 0.031114,
    0.031296, 0.031479, 0.031662, 0.031847, 0.032032, 0.032218, 0.032405,
    0.032593, 0.032782, 0.032971, 0.033161, 0.033352, 0.033544, 0.033737,
    0.033930, 0.034125, 0.034320, 0.034516, 0.034713, 0.034911, 0.035110,
    0.035309, 0.035510, 0.035711, 0.035913, 0.036116, 0.036320, 0.036524,
    0.036730, 0.036936, 0.037144, 0.037352, 0.037561, 0.037771, 0.037982,
    0.038194, 0.038406, 0.038620, 0.038834, 0.039049, 0.039266, 0.039483,
    0.039701, 0.039920, 0.040140, 0.040360, 0.040582, 0.040805, 0.041028,
    0.041252, 0.041478, 0.041704, 0.041931, 0.042159, 0.042388, 0.042618,
    0.042849, 0.043081, 0.043314, 0.043548, 0.043782, 0.044018, 0.044255,
    0.044492, 0.044731, 0.044970, 0.045211, 0.045452, 0.045694, 0.045938,
    0.046182, 0.046427, 0.046673, 0.046921, 0.047169, 0.047418, 0.047668,
    0.047919, 0.048171, 0.048424, 0.048678, 0.048933, 0.049189, 0.049447,
    0.049705, 0.049964, 0.050224, 0.050485, 0.050747, 0.051010, 0.051274,
    0.051539, 0.051805, 0.052073, 0.052341, 0.052610, 0.052880, 0.053152,
    0.053424, 0.053697, 0.053972, 0.054247, 0.054523, 0.054801, 0.055079,
    0.055359, 0.055640, 0.055921, 0.056204, 0.056488, 0.056773, 0.057059,
    0.057346, 0.057634, 0.057923, 0.058213, 0.058504, 0.058796, 0.059090,
    0.059384, 0.059680, 0.059976, 0.060274, 0.060573, 0.060873, 0.061174,
    0.061476, 0.061779, 0.062083, 0.062389, 0.062695, 0.063003, 0.063311,
    0.063621, 0.063932, 0.064244, 0.064557, 0.064871, 0.065187, 0.065503,
    0.065821, 0.066139, 0.066459, 0.066780, 0.067102, 0.067426, 0.067750,
    0.068075, 0.068402, 0.068730, 0.069059, 0.069389, 0.069720, 0.070052,
    0.070386, 0.070721, 0.071056, 0.071393, 0.071732, 0.072071, 0.072411,
    0.072753, 0.073096, 0.073440, 0.073785, 0.074131, 0.074479, 0.074827,
    0.075177, 0.075528, 0.075880, 0.076234, 0.076588, 0.076944, 0.077301,
    0.077659, 0.078019, 0.078379, 0.078741, 0.079104, 0.079468, 0.079833,
    0.080200, 0.080568, 0.080937, 0.081307, 0.081678, 0.082051, 0.082425,
    0.082800, 0.083176, 0.083553, 0.083932, 0.084312, 0.084693, 0.085076,
    0.085459, 0.085844, 0.086230, 0.086618, 0.087006, 0.087396, 0.087787,
    0.088179, 0.088573, 0.088968, 0.089364, 0.089761, 0.090160, 0.090560,
    0.090961, 0.091363, 0.091767, 0.092172, 0.092578, 0.092985, 0.093394,
    0.093804, 0.094215, 0.094627, 0.095041, 0.095456, 0.095872, 0.096290,
    0.096709, 0.097129, 0.097550, 0.097973, 0.098397, 0.098823, 0.099249,
    0.099677, 0.100106, 0.100537, 0.100968, 0.101401, 0.101836, 0.102271,
    0.102708, 0.103147, 0.103586, 0.104027, 0.104469, 0.104913, 0.105358,
    0.105804, 0.106251, 0.106700, 0.107150, 0.107602, 0.108054, 0.108508,
    0.108964, 0.109420, 0.109878, 0.110338, 0.110799, 0.111261, 0.111724,
    0.112189, 0.112655, 0.113122, 0.113591, 0.114061, 0.114532, 0.115005,
    0.115479, 0.115954, 0.116431, 0.116909, 0.117389, 0.117869, 0.118352,
    0.118835, 0.119320, 0.119806, 0.120294, 0.120783, 0.121273, 0.121764,
    0.122257, 0.122752, 0.123248, 0.123745, 0.124243, 0.124743, 0.125244,
    0.125747, 0.126251, 0.126756, 0.127263, 0.127771, 0.128280, 0.128791,
    0.129303, 0.129817, 0.130332, 0.130848, 0.131366, 0.131885, 0.132405,
    0.132927, 0.133450, 0.133975, 0.134501, 0.135028, 0.135557, 0.136087,
    0.136619, 0.137152, 0.137686, 0.138222, 0.138759, 0.139297, 0.139837,
    0.140379, 0.140921, 0.141465, 0.142011, 0.142558, 0.143106, 0.143656,
    0.144207, 0.144760, 0.145313, 0.145869, 0.146425, 0.146984, 0.147543,
    0.148104, 0.148666, 0.149230, 0.149795, 0.150362, 0.150930, 0.151499,
    0.152070, 0.152643, 0.153216, 0.153791, 0.154368, 0.154946, 0.155525,
    0.156106, 0.156688, 0.157271, 0.157856, 0.158443, 0.159031, 0.159620,
    0.160210, 0.160803, 0.161396, 0.161991, 0.162587, 0.163185, 0.163784,
    0.164385, 0.164987, 0.165590, 0.166195, 0.166802, 0.167409, 0.168018,
    0.168629, 0.169241, 0.169854, 0.170469, 0.171086, 0.171703, 0.172322,
    0.172943, 0.173565, 0.174188, 0.174813, 0.175440, 0.176067, 0.176696,
    0.177327, 0.177959, 0.178592, 0.179227, 0.179863, 0.180501, 0.181140,
    0.181781, 0.182423, 0.183066, 0.183711, 0.184357, 0.185005, 0.185654,
    0.186305, 0.186957, 0.187610, 0.188265, 0.188921, 0.189579, 0.190238,
    0.190899, 0.191561, 0.192224, 0.192889, 0.193555, 0.194223, 0.194892,
    0.195562, 0.196234, 0.196908, 0.197583, 0.198259, 0.198937, 0.199616,
    0.200296, 0.200978, 0.201662, 0.202346, 0.203033, 0.203720, 0.204409,
    0.205100, 0.205792, 0.206485, 0.207180, 0.207876, 0.208574, 0.209273,
    0.209973, 0.210675, 0.211378, 0.212083, 0.212789, 0.213496, 0.214205,
    0.214916, 0.215627, 0.216341, 0.217055, 0.217771, 0.218488, 0.219207,
    0.219928, 0.220649, 0.221372, 0.222097, 0.222823, 0.223550, 0.224278,
    0.225009, 0.225740, 0.226473, 0.227207, 0.227943, 0.228680, 0.229418,
    0.230158, 0.230900, 0.231642, 0.232386, 0.233132, 0.233879, 0.234627,
    0.235377, 0.236128, 0.236880, 0.237634, 0.238389, 0.239146, 0.239904,
    0.240663, 0.241424, 0.242186, 0.242949, 0.243714, 0.244480, 0.245248,
    0.246017, 0.246788, 0.247559, 0.248332, 0.249107, 0.249883, 0.250660,
    0.251439, 0.252219, 0.253000, 0.253783, 0.254567, 0.255352, 0.256139,
    0.256927, 0.257717, 0.258507, 0.259300, 0.260093, 0.260888, 0.261684,
    0.262482, 0.263281, 0.264081, 0.264883, 0.265686, 0.266490, 0.267296,
    0.268103, 0.268911, 0.269721, 0.270532, 0.271344, 0.272158, 0.272973,
    0.273789, 0.274606, 0.275425, 0.276246, 0.277067, 0.277890, 0.278714,
    0.279540, 0.280367, 0.281195, 0.282024, 0.282855, 0.283687, 0.284520,
    0.285355, 0.286191, 0.287028, 0.287866, 0.288706, 0.289547, 0.290390,
    0.291233, 0.292078, 0.292924, 0.293772, 0.294621, 0.295471, 0.296322,
    0.297175, 0.298028, 0.298883, 0.299740, 0.300597, 0.301456, 0.302316,
    0.303178, 0.304040, 0.304904, 0.305769, 0.306636, 0.307503, 0.308372,
    0.309242, 0.310114, 0.310986, 0.311860, 0.312735, 0.313611, 0.314489,
    0.315367, 0.316247, 0.317128, 0.318011, 0.318894, 0.319779, 0.320665,
    0.321552, 0.322440, 0.323330, 0.324221, 0.325113, 0.326006, 0.326900,
    0.327795, 0.328692, 0.329590, 0.330489, 0.331389, 0.332290, 0.333193,
    0.334096, 0.335001, 0.335907, 0.336814, 0.337723, 0.338632, 0.339543,
    0.340454, 0.341367, 0.342281, 0.343196, 0.344113, 0.345030, 0.345948,
    0.346868, 0.347789, 0.348711, 0.349634, 0.350558, 0.351483, 0.352409,
    0.353337, 0.354265, 0.355195, 0.356125, 0.357057, 0.357990, 0.358924,
    0.359859, 0.360795, 0.361732, 0.362670, 0.363609, 0.364550, 0.365491,
    0.366433, 0.367377, 0.368321, 0.369267, 0.370214, 0.371161, 0.372110,
    0.373060, 0.374010, 0.374962, 0.375915, 0.376869, 0.377823, 0.378779,
    0.379736, 0.380694, 0.381652, 0.382612, 0.383573, 0.384535, 0.385498,
    0.386461, 0.387426, 0.388392, 0.389358, 0.390326, 0.391294, 0.392264,
    0.393234, 0.394206, 0.395178, 0.396151, 0.397126, 0.398101, 0.399077,
    0.400054, 0.401032, 0.402011, 0.402991, 0.403971, 0.404953, 0.405935,
    0.406919, 0.407903, 0.408888, 0.409874, 0.410861, 0.411849, 0.412837,
    0.413827, 0.414817, 0.415809, 0.416801, 0.417794, 0.418787, 0.419782,
    0.420778, 0.421774, 0.422771, 0.423769, 0.424768, 0.425768, 0.426768,
    0.427769, 0.428771, 0.429774, 0.430778, 0.431782, 0.432787, 0.433793,
    0.434800, 0.435808, 0.436816, 0.437825, 0.438835, 0.439846, 0.440857,
    0.441869, 0.442882, 0.443896, 0.444910, 0.445925, 0.446941, 0.447957,
    0.448974, 0.449992, 0.451011, 0.452030, 0.453050, 0.454071, 0.455092,
    0.456114, 0.457137, 0.458161, 0.459185, 0.460209, 0.461235, 0.462261,
    0.463287, 0.464315, 0.465343, 0.466371, 0.467401, 0.468430, 0.469461,
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    0.000055, 0.000054, 0.000052, 0.000050, 0.000049, 0.000047, 0.000045,
    0.000044, 0.000042, 0.000041, 0.000039, 0.000038, 0.000036, 0.000035,
    0.000034, 0.000032, 0.000031, 0.000030, 0.000028, 0.000027, 0.000026,
    0.000025, 0.000024, 0.000022, 0.000021, 0.000020, 0.000019, 0.000018,
    0.000017, 0.000016, 0.000015, 0.000014, 0.000013, 0.000012, 0.000011,
    0.000011, 0.000010, 0.000009, 0.000008, 0.000007, 0.000007, 0.000006,
    0.000005, 0.000004, 0.000004, 0.000003, 0.000002, 0.000002, 0.000001,
    0.000001};

float ifft_sinc(float fTheta) {
  int index = (int)(.5 + ifft_scale_sinc * fTheta);

  return (ifft_tab_sinc[index]);
}

/*! \brief window to be used in the IFFT synthesis
 *
 * contains both an inverse Blackman-Harris and triangular window.
 *
 * \todo read X. Rodet, Ph. Depalle, "Spectral Envelopes and Inverse FFT
 * Synthesis." Proc. 93rd AES Convention, October 1992
 * \param sizeWindow the size of the window
 * \param pFWindow pointer to an array that will hold the window
 */

#define TWO_PI (M_PI * 2)

void IFFTwindow(int sizeWindow, float *pFWindow) {
  int i;
  float a0 = .35875, a1 = .48829, a2 = .14128, a3 = .01168;
  double fConst = TWO_PI / sizeWindow, fIncr = 2.0 / sizeWindow, fVal = 0;

  /* compute inverse of Blackman-Harris 92dB window */
  for (i = 0; i < sizeWindow; i++) {
    pFWindow[i] = 1 / (a0 - a1 * cos(fConst * i) + a2 * cos(fConst * 2 * i) -
                       a3 * cos(fConst * 3 * i));
  }

  /* scale function by a triangular */
  for (i = 0; i < sizeWindow / 2; i++) {
    pFWindow[i] = fVal * pFWindow[i] / 2.787457;
    fVal += fIncr;
  }
  for (i = sizeWindow / 2; i < sizeWindow; i++) {
    pFWindow[i] = fVal * pFWindow[i] / 2.787457;
    fVal -= fIncr;
  }
}

IFFTOsc::IFFTOsc() {
  IFFTwindow(FFT_SIZE, window);
  for (int o = 0; o < N_OSC; o++) {
    phase[o] = 0;
    amp[o] = 0;
    frq[o] = 0;
  }
  spectrum = new fftw_complex[FFT_SIZE];
  waveform = new double[FFT_SIZE];
  inverse_c2r =
      fftw_plan_dft_c2r_1d(FFT_SIZE, spectrum, waveform, FFTW_ESTIMATE);
  for (int k = 0; k < FFT_SIZE / 2; k++) {
    rover[k] = 0;
    output_buffer[k] = 0;
  }
}

void IFFTOsc::processOneFrame() {
  for (int k = 0; k < FFT_SIZE / 2 + 1; k++) {
    spectrum[k][0] = 0;
    spectrum[k][1] = 0;
  }

  for (int o = 0; o < N_OSC; o++) {
    if (amp[o] > 0 && frq[o] > 0 &&
        frq[o] < fs / 2)  // TODO -- check frequency is at right level
    {
      double samplingPeriod = 1.0 / fs;
      double sizeSpec = FFT_SIZE / 2;
      phase[o] = phase[o] + 2 * M_PI * frq[o] * samplingPeriod * sizeSpec;

      double loc = FFT_SIZE * frq[o] * samplingPeriod;
      int firstBin = (int)loc - 3;
      double binRemainder = loc - floor(loc);

      int sizeMag = FFT_SIZE / 2;

      int k, l, b;
      for (k = 1, l = firstBin; k <= 8; k++, l++) {
        double index = (k - binRemainder);
        if (index > 7.999) index = 0;

        double scale = ifft_sinc(index);

        double real = cos(phase[o]);
        double imag = sin(phase[o]);

        if (l > 0 && l < sizeSpec) {
          spectrum[l][1] += 0.5 * amp[o] * scale * imag;  // cos
          spectrum[l][0] += 0.5 * amp[o] * scale * real;  // sin
        } else if (l == 0) {
          spectrum[l][0] += 0.5 * amp[o] * scale * real;  // sin
        } else if (l < 0) {
          b = abs(l);
          // pSynthParams->pSpectra[b * 2 + 1] -= fNewMag * fCos;
          // pSynthParams->pSpectra[b * 2] += fNewMag * fSin;
          spectrum[b][1] -= 0.5 * amp[o] * scale * imag;  // cos
          spectrum[b][0] += 0.5 * amp[o] * scale * real;  // sin
        } else if (l > sizeMag) {
          b = sizeMag - (l - sizeMag);

          spectrum[b][1] -= 0.5 * amp[o] * scale * imag;  // cos
          spectrum[b][0] += 0.5 * amp[o] * scale * real;  // sin
          // pSynthParams->pSpectra[b * 2 + 1] -= fNewMag * fCos;
          // pSynthParams->pSpectra[b * 2] += fNewMag * fSin;
        } else if (l == sizeMag) {
          spectrum[l][0] += 0.5 * amp[o] * scale * real;  // sin
        }
      }
    }
  }

  fftw_execute(inverse_c2r);

  for (int k = 0; k < FFT_SIZE / 2; k++) {
    output_buffer[k] = waveform[k + FFT_SIZE / 2] * window[k] + rover[k];
  }
  for (int k = 0; k < FFT_SIZE / 2; k++) {
    rover[k] = waveform[k] * window[k + FFT_SIZE / 2];
  }
}

#if 0
int
main ()
{
  SF_INFO info;
  info.format = SF_FORMAT_WAV | SF_FORMAT_PCM_16;
  info.channels = 1;
  info.samplerate = 44100;

  // Open sound file for writing
  SNDFILE *outfile = sf_open ("outfile.wav", SFM_WRITE, &info);





  IFFTOsc osc;


  osc.amp[0] = 0.5;
  osc.frq[0] = 440;
  osc.fs = 44100;

  for (int i = 0; i < 5000; i++)
    {
      osc.processOneFrame ();
      sf_write_double (outfile, osc.output_buffer, FFT_SIZE / 2);
    }

  sf_close (outfile);




}
#endif