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1 /* -*- c-basic-offset: 4 indent-tabs-mode: nil -*- vi:set ts=8 sts=4 sw=4: */
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2
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3 /*
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4 Sonic Visualiser
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5 An audio file viewer and annotation editor.
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6 Centre for Digital Music, Queen Mary, University of London.
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7 This file copyright 2006 Chris Cannam and QMUL.
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8 FFT code from Don Cross's public domain FFT implementation.
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9
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10 This program is free software; you can redistribute it and/or
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11 modify it under the terms of the GNU General Public License as
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12 published by the Free Software Foundation; either version 2 of the
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13 License, or (at your option) any later version. See the file
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14 COPYING included with this distribution for more information.
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15 */
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16
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17 #include "FFTapi.h"
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18
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19 std::mutex FFTForward::m_mutex;
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20
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21 #ifndef HAVE_FFTW3F
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22
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23 #include <cmath>
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24 #include <iostream>
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25
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26 void
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27 fft(unsigned int n, bool inverse, double *ri, double *ii, double *ro, double *io)
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28 {
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29 if (!ri || !ro || !io) return;
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30
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31 unsigned int bits;
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32 unsigned int i, j, k, m;
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33 unsigned int blockSize, blockEnd;
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34
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35 double tr, ti;
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36
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37 if (n < 2) return;
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38 if (n & (n-1)) return;
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39
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40 double angle = 2.0 * M_PI;
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41 if (inverse) angle = -angle;
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42
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43 for (i = 0; ; ++i) {
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44 if (n & (1 << i)) {
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45 bits = i;
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46 break;
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47 }
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48 }
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49
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50 int *table = new int[n];
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51
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52 for (i = 0; i < n; ++i) {
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53
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54 m = i;
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55
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56 for (j = k = 0; j < bits; ++j) {
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57 k = (k << 1) | (m & 1);
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58 m >>= 1;
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59 }
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60
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61 table[i] = k;
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62 }
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63
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64 if (ii) {
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65 for (i = 0; i < n; ++i) {
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66 ro[table[i]] = ri[i];
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67 io[table[i]] = ii[i];
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68 }
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69 } else {
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70 for (i = 0; i < n; ++i) {
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71 ro[table[i]] = ri[i];
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72 io[table[i]] = 0.0;
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73 }
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74 }
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75
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76 blockEnd = 1;
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77
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78 for (blockSize = 2; blockSize <= n; blockSize <<= 1) {
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79
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80 double delta = angle / (double)blockSize;
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81 double sm2 = -sin(-2 * delta);
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82 double sm1 = -sin(-delta);
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83 double cm2 = cos(-2 * delta);
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84 double cm1 = cos(-delta);
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85 double w = 2 * cm1;
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86 double ar[3], ai[3];
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87
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88 for (i = 0; i < n; i += blockSize) {
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89
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90 ar[2] = cm2;
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91 ar[1] = cm1;
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92
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93 ai[2] = sm2;
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94 ai[1] = sm1;
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95
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96 for (j = i, m = 0; m < blockEnd; j++, m++) {
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97
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98 ar[0] = w * ar[1] - ar[2];
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99 ar[2] = ar[1];
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100 ar[1] = ar[0];
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101
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102 ai[0] = w * ai[1] - ai[2];
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103 ai[2] = ai[1];
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104 ai[1] = ai[0];
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105
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106 k = j + blockEnd;
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107 tr = ar[0] * ro[k] - ai[0] * io[k];
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108 ti = ar[0] * io[k] + ai[0] * ro[k];
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109
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110 ro[k] = ro[j] - tr;
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111 io[k] = io[j] - ti;
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112
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113 ro[j] += tr;
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114 io[j] += ti;
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115 }
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116 }
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117
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118 blockEnd = blockSize;
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119 }
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120
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121 /* fftw doesn't normalise, so nor will we
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122
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123 if (inverse) {
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124
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125 double denom = (double)n;
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126
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127 for (i = 0; i < n; i++) {
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128 ro[i] /= denom;
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129 io[i] /= denom;
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130 }
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131 }
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132 */
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133 delete[] table;
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134 }
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135
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136 struct fftf_plan_ {
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137 int size;
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138 int inverse;
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139 float *real;
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140 fftf_complex *cplx;
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141 };
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142
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143 fftf_plan
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144 fftf_plan_dft_r2c_1d(int n, float *in, fftf_complex *out, unsigned)
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145 {
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146 if (n < 2) return 0;
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147 if (n & (n-1)) return 0;
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148
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149 fftf_plan_ *plan = new fftf_plan_;
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150 plan->size = n;
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151 plan->inverse = 0;
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152 plan->real = in;
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153 plan->cplx = out;
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154 return plan;
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155 }
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156
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157 fftf_plan
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158 fftf_plan_dft_c2r_1d(int n, fftf_complex *in, float *out, unsigned)
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159 {
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160 if (n < 2) return 0;
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161 if (n & (n-1)) return 0;
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162
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163 fftf_plan_ *plan = new fftf_plan_;
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164 plan->size = n;
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165 plan->inverse = 1;
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166 plan->real = out;
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167 plan->cplx = in;
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168 return plan;
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169 }
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170
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171 void
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172 fftf_destroy_plan(fftf_plan p)
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173 {
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174 delete p;
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175 }
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176
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177 void
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178 fftf_execute(const fftf_plan p)
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179 {
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180 float *real = p->real;
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181 fftf_complex *cplx = p->cplx;
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182 int n = p->size;
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183 int forward = !p->inverse;
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184
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185 double *ri = new double[n];
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186 double *ro = new double[n];
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187 double *io = new double[n];
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188
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189 double *ii = 0;
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190 if (!forward) ii = new double[n];
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191
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192 if (forward) {
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193 for (int i = 0; i < n; ++i) {
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194 ri[i] = real[i];
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195 }
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196 } else {
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197 for (int i = 0; i < n/2+1; ++i) {
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198 ri[i] = cplx[i][0];
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199 ii[i] = cplx[i][1];
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200 if (i > 0) {
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201 ri[n-i] = ri[i];
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202 ii[n-i] = -ii[i];
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203 }
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204 }
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205 }
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206
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207 fft(n, !forward, ri, ii, ro, io);
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208
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209 if (forward) {
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210 for (int i = 0; i < n/2+1; ++i) {
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211 cplx[i][0] = ro[i];
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212 cplx[i][1] = io[i];
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213 }
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214 } else {
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215 for (int i = 0; i < n; ++i) {
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216 real[i] = ro[i];
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217 }
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218 }
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219
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220 delete[] ri;
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221 delete[] ro;
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222 delete[] io;
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223 if (ii) delete[] ii;
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224 }
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225
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226 #endif
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