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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 QM DSP Library
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5
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6 Centre for Digital Music, Queen Mary, University of London.
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7 This file is based on Don Cross's public domain FFT implementation.
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8 */
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9
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10 #include "FFT.h"
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11
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12 #include "maths/MathUtilities.h"
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13
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14 #include "kiss_fft.h"
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15 #include "kiss_fftr.h"
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16
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17 #include <cmath>
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18
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19 #include <iostream>
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20
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21 #include <stdexcept>
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22
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23 class FFT::D
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24 {
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25 public:
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26 D(int n) : m_n(n) {
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27 m_planf = kiss_fft_alloc(m_n, 0, NULL, NULL);
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28 m_plani = kiss_fft_alloc(m_n, 1, NULL, NULL);
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29 m_kin = new kiss_fft_cpx[m_n];
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30 m_kout = new kiss_fft_cpx[m_n];
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31 }
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32
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33 ~D() {
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34 kiss_fft_free(m_planf);
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35 kiss_fft_free(m_plani);
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36 delete[] m_kin;
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37 delete[] m_kout;
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38 }
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39
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40 void process(bool inverse,
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41 const double *ri,
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42 const double *ii,
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43 double *ro,
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44 double *io) {
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45
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46 for (int i = 0; i < m_n; ++i) {
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47 m_kin[i].r = ri[i];
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48 m_kin[i].i = (ii ? ii[i] : 0.0);
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49 }
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50
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51 if (!inverse) {
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52
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53 kiss_fft(m_planf, m_kin, m_kout);
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54
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55 for (int i = 0; i < m_n; ++i) {
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56 ro[i] = m_kout[i].r;
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57 io[i] = m_kout[i].i;
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58 }
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59
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60 } else {
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61
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62 kiss_fft(m_plani, m_kin, m_kout);
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63
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64 double scale = 1.0 / m_n;
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65
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66 for (int i = 0; i < m_n; ++i) {
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67 ro[i] = m_kout[i].r * scale;
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68 io[i] = m_kout[i].i * scale;
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69 }
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70 }
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71 }
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72
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73 private:
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74 int m_n;
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75 kiss_fft_cfg m_planf;
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76 kiss_fft_cfg m_plani;
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77 kiss_fft_cpx *m_kin;
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78 kiss_fft_cpx *m_kout;
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79 };
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80
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81 FFT::FFT(int n) :
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82 m_d(new D(n))
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83 {
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84 }
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85
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86 FFT::~FFT()
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87 {
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88 delete m_d;
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89 }
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90
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91 void
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92 FFT::process(bool inverse,
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93 const double *p_lpRealIn, const double *p_lpImagIn,
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94 double *p_lpRealOut, double *p_lpImagOut)
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95 {
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96 m_d->process(inverse,
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97 p_lpRealIn, p_lpImagIn,
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98 p_lpRealOut, p_lpImagOut);
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99 }
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100
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101 class FFTReal::D
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102 {
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103 public:
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104 D(int n) : m_n(n) {
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105 if (n % 2) {
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106 throw std::invalid_argument
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107 ("nsamples must be even in FFTReal constructor");
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108 }
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109 m_planf = kiss_fftr_alloc(m_n, 0, NULL, NULL);
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110 m_plani = kiss_fftr_alloc(m_n, 1, NULL, NULL);
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111 m_c = new kiss_fft_cpx[m_n];
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112 }
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113
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114 ~D() {
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115 kiss_fftr_free(m_planf);
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116 kiss_fftr_free(m_plani);
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117 delete[] m_c;
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118 }
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119
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120 void forward(const double *ri, double *ro, double *io) {
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121
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122 kiss_fftr(m_planf, ri, m_c);
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123
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124 for (int i = 0; i <= m_n/2; ++i) {
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125 ro[i] = m_c[i].r;
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126 io[i] = m_c[i].i;
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127 }
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128
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129 for (int i = 0; i + 1 < m_n/2; ++i) {
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130 ro[m_n - i - 1] = ro[i + 1];
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131 io[m_n - i - 1] = -io[i + 1];
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132 }
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133 }
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134
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135 void inverse(const double *ri, const double *ii, double *ro) {
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136
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137 for (int i = 0; i < m_n; ++i) {
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138 m_c[i].r = ri[i];
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139 m_c[i].i = ii[i];
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140 }
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141
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142 kiss_fftri(m_plani, m_c, ro);
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143
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144 double scale = 1.0 / m_n;
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145
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146 for (int i = 0; i < m_n; ++i) {
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147 ro[i] *= scale;
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148 }
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149 }
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150
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151 private:
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152 int m_n;
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153 kiss_fftr_cfg m_planf;
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154 kiss_fftr_cfg m_plani;
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155 kiss_fft_cpx *m_c;
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156 };
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157
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158 FFTReal::FFTReal(int n) :
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159 m_d(new D(n))
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160 {
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161 }
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162
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163 FFTReal::~FFTReal()
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164 {
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165 delete m_d;
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166 }
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167
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168 void
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169 FFTReal::forward(const double *ri, double *ro, double *io)
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170 {
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171 m_d->forward(ri, ro, io);
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172 }
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173
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174 void
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175 FFTReal::inverse(const double *ri, const double *ii, double *ro)
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176 {
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177 m_d->inverse(ri, ii, ro);
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178 }
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179
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180
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181
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