1 | /* |
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2 | Copyright (C) 2003-2009 Paul Brossier <piem@aubio.org> |
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3 | |
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4 | This file is part of aubio. |
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5 | |
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6 | aubio is free software: you can redistribute it and/or modify |
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7 | it under the terms of the GNU General Public License as published by |
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8 | the Free Software Foundation, either version 3 of the License, or |
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9 | (at your option) any later version. |
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10 | |
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11 | aubio is distributed in the hope that it will be useful, |
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12 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
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13 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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14 | GNU General Public License for more details. |
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15 | |
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16 | You should have received a copy of the GNU General Public License |
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17 | along with aubio. If not, see <http://www.gnu.org/licenses/>. |
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18 | |
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19 | */ |
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20 | |
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21 | #include "aubio_priv.h" |
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22 | #include "fvec.h" |
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23 | #include "cvec.h" |
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24 | #include "mathutils.h" |
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25 | #include "spectral/fft.h" |
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26 | |
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27 | #ifdef HAVE_FFTW3 // using FFTW3 |
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28 | /* note that <complex.h> is not included here but only in aubio_priv.h, so that |
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29 | * c++ projects can still use their own complex definition. */ |
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30 | #include <fftw3.h> |
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31 | #include <pthread.h> |
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32 | |
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33 | #ifdef HAVE_COMPLEX_H |
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34 | #ifdef HAVE_FFTW3F |
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35 | /** fft data type with complex.h and fftw3f */ |
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36 | #define FFTW_TYPE fftwf_complex |
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37 | #else |
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38 | /** fft data type with complex.h and fftw3 */ |
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39 | #define FFTW_TYPE fftw_complex |
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40 | #endif |
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41 | #else |
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42 | #ifdef HAVE_FFTW3F |
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43 | /** fft data type without complex.h and with fftw3f */ |
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44 | #define FFTW_TYPE float |
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45 | #else |
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46 | /** fft data type without complex.h and with fftw */ |
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47 | #define FFTW_TYPE double |
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48 | #endif |
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49 | #endif |
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50 | |
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51 | /** fft data type */ |
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52 | typedef FFTW_TYPE fft_data_t; |
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53 | |
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54 | #ifdef HAVE_FFTW3F |
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55 | #define fftw_malloc fftwf_malloc |
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56 | #define fftw_free fftwf_free |
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57 | #define fftw_execute fftwf_execute |
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58 | #define fftw_plan_dft_r2c_1d fftwf_plan_dft_r2c_1d |
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59 | #define fftw_plan_dft_c2r_1d fftwf_plan_dft_c2r_1d |
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60 | #define fftw_plan_r2r_1d fftwf_plan_r2r_1d |
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61 | #define fftw_plan fftwf_plan |
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62 | #define fftw_destroy_plan fftwf_destroy_plan |
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63 | #endif |
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64 | |
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65 | #ifdef HAVE_FFTW3F |
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66 | #if HAVE_AUBIO_DOUBLE |
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67 | #error "Using aubio in double precision with fftw3 in single precision" |
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68 | #endif /* HAVE_AUBIO_DOUBLE */ |
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69 | #define real_t float |
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70 | #elif defined (HAVE_FFTW3) /* HAVE_FFTW3F */ |
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71 | #if !HAVE_AUBIO_DOUBLE |
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72 | #error "Using aubio in single precision with fftw3 in double precision" |
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73 | #endif /* HAVE_AUBIO_DOUBLE */ |
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74 | #define real_t double |
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75 | #endif /* HAVE_FFTW3F */ |
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76 | |
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77 | // a global mutex for FFTW thread safety |
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78 | pthread_mutex_t aubio_fftw_mutex = PTHREAD_MUTEX_INITIALIZER; |
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79 | |
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80 | #else |
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81 | #ifdef HAVE_ACCELERATE // using ACCELERATE |
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82 | // https://developer.apple.com/library/mac/#documentation/Accelerate/Reference/vDSPRef/Reference/reference.html |
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83 | #include <Accelerate/Accelerate.h> |
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84 | |
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85 | #if !HAVE_AUBIO_DOUBLE |
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86 | #define aubio_vDSP_ctoz vDSP_ctoz |
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87 | #define aubio_vDSP_fft_zrip vDSP_fft_zrip |
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88 | #define aubio_vDSP_ztoc vDSP_ztoc |
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89 | #define aubio_vDSP_zvmags vDSP_zvmags |
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90 | #define aubio_vDSP_zvphas vDSP_zvphas |
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91 | #define aubio_vDSP_vsadd vDSP_vsadd |
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92 | #define aubio_vDSP_vsmul vDSP_vsmul |
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93 | #define aubio_vDSP_create_fftsetup vDSP_create_fftsetup |
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94 | #define aubio_vDSP_destroy_fftsetup vDSP_destroy_fftsetup |
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95 | #define aubio_DSPComplex DSPComplex |
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96 | #define aubio_DSPSplitComplex DSPSplitComplex |
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97 | #define aubio_FFTSetup FFTSetup |
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98 | #define aubio_vvsqrt vvsqrtf |
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99 | #else |
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100 | #define aubio_vDSP_ctoz vDSP_ctozD |
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101 | #define aubio_vDSP_fft_zrip vDSP_fft_zripD |
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102 | #define aubio_vDSP_ztoc vDSP_ztocD |
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103 | #define aubio_vDSP_zvmags vDSP_zvmagsD |
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104 | #define aubio_vDSP_zvphas vDSP_zvphasD |
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105 | #define aubio_vDSP_vsadd vDSP_vsaddD |
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106 | #define aubio_vDSP_vsmul vDSP_vsmulD |
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107 | #define aubio_vDSP_create_fftsetup vDSP_create_fftsetupD |
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108 | #define aubio_vDSP_destroy_fftsetup vDSP_destroy_fftsetupD |
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109 | #define aubio_DSPComplex DSPDoubleComplex |
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110 | #define aubio_DSPSplitComplex DSPDoubleSplitComplex |
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111 | #define aubio_FFTSetup FFTSetupD |
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112 | #define aubio_vvsqrt vvsqrt |
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113 | #endif /* HAVE_AUBIO_DOUBLE */ |
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114 | |
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115 | #else // using OOURA |
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116 | // let's use ooura instead |
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117 | extern void rdft(int, int, smpl_t *, int *, smpl_t *); |
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118 | |
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119 | #endif /* HAVE_ACCELERATE */ |
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120 | #endif /* HAVE_FFTW3 */ |
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121 | |
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122 | struct _aubio_fft_t { |
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123 | uint_t winsize; |
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124 | uint_t fft_size; |
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125 | #ifdef HAVE_FFTW3 // using FFTW3 |
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126 | real_t *in, *out; |
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127 | fftw_plan pfw, pbw; |
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128 | fft_data_t * specdata; /* complex spectral data */ |
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129 | #else |
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130 | #ifdef HAVE_ACCELERATE // using ACCELERATE |
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131 | int log2fftsize; |
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132 | aubio_FFTSetup fftSetup; |
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133 | aubio_DSPSplitComplex spec; |
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134 | smpl_t *in, *out; |
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135 | #else // using OOURA |
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136 | smpl_t *in, *out; |
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137 | smpl_t *w; |
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138 | int *ip; |
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139 | #endif /* HAVE_ACCELERATE */ |
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140 | #endif /* HAVE_FFTW3 */ |
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141 | fvec_t * compspec; |
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142 | }; |
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143 | |
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144 | aubio_fft_t * new_aubio_fft (uint_t winsize) { |
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145 | aubio_fft_t * s = AUBIO_NEW(aubio_fft_t); |
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146 | if ((sint_t)winsize < 2) { |
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147 | AUBIO_ERR("fft: got winsize %d, but can not be < 2\n", winsize); |
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148 | goto beach; |
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149 | } |
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150 | #ifdef HAVE_FFTW3 |
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151 | uint_t i; |
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152 | s->winsize = winsize; |
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153 | /* allocate memory */ |
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154 | s->in = AUBIO_ARRAY(real_t,winsize); |
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155 | s->out = AUBIO_ARRAY(real_t,winsize); |
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156 | s->compspec = new_fvec(winsize); |
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157 | /* create plans */ |
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158 | pthread_mutex_lock(&aubio_fftw_mutex); |
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159 | #ifdef HAVE_COMPLEX_H |
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160 | s->fft_size = winsize/2 + 1; |
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161 | s->specdata = (fft_data_t*)fftw_malloc(sizeof(fft_data_t)*s->fft_size); |
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162 | s->pfw = fftw_plan_dft_r2c_1d(winsize, s->in, s->specdata, FFTW_ESTIMATE); |
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163 | s->pbw = fftw_plan_dft_c2r_1d(winsize, s->specdata, s->out, FFTW_ESTIMATE); |
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164 | #else |
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165 | s->fft_size = winsize; |
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166 | s->specdata = (fft_data_t*)fftw_malloc(sizeof(fft_data_t)*s->fft_size); |
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167 | s->pfw = fftw_plan_r2r_1d(winsize, s->in, s->specdata, FFTW_R2HC, FFTW_ESTIMATE); |
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168 | s->pbw = fftw_plan_r2r_1d(winsize, s->specdata, s->out, FFTW_HC2R, FFTW_ESTIMATE); |
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169 | #endif |
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170 | pthread_mutex_unlock(&aubio_fftw_mutex); |
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171 | for (i = 0; i < s->winsize; i++) { |
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172 | s->in[i] = 0.; |
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173 | s->out[i] = 0.; |
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174 | } |
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175 | for (i = 0; i < s->fft_size; i++) { |
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176 | s->specdata[i] = 0.; |
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177 | } |
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178 | #else |
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179 | #ifdef HAVE_ACCELERATE // using ACCELERATE |
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180 | s->winsize = winsize; |
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181 | s->fft_size = winsize; |
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182 | s->compspec = new_fvec(winsize); |
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183 | s->log2fftsize = (uint_t)log2f(s->fft_size); |
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184 | s->in = AUBIO_ARRAY(smpl_t, s->fft_size); |
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185 | s->out = AUBIO_ARRAY(smpl_t, s->fft_size); |
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186 | s->spec.realp = AUBIO_ARRAY(smpl_t, s->fft_size/2); |
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187 | s->spec.imagp = AUBIO_ARRAY(smpl_t, s->fft_size/2); |
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188 | s->fftSetup = aubio_vDSP_create_fftsetup(s->log2fftsize, FFT_RADIX2); |
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189 | #else // using OOURA |
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190 | if (aubio_is_power_of_two(winsize) != 1) { |
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191 | AUBIO_ERR("fft: can only create with sizes power of two," |
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192 | " requested %d\n", winsize); |
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193 | goto beach; |
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194 | } |
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195 | s->winsize = winsize; |
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196 | s->fft_size = winsize / 2 + 1; |
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197 | s->compspec = new_fvec(winsize); |
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198 | s->in = AUBIO_ARRAY(smpl_t, s->winsize); |
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199 | s->out = AUBIO_ARRAY(smpl_t, s->winsize); |
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200 | s->ip = AUBIO_ARRAY(int , s->fft_size); |
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201 | s->w = AUBIO_ARRAY(smpl_t, s->fft_size); |
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202 | s->ip[0] = 0; |
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203 | #endif /* HAVE_ACCELERATE */ |
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204 | #endif /* HAVE_FFTW3 */ |
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205 | return s; |
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206 | beach: |
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207 | AUBIO_FREE(s); |
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208 | return NULL; |
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209 | } |
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210 | |
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211 | void del_aubio_fft(aubio_fft_t * s) { |
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212 | /* destroy data */ |
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213 | del_fvec(s->compspec); |
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214 | #ifdef HAVE_FFTW3 // using FFTW3 |
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215 | fftw_destroy_plan(s->pfw); |
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216 | fftw_destroy_plan(s->pbw); |
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217 | fftw_free(s->specdata); |
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218 | #else /* HAVE_FFTW3 */ |
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219 | #ifdef HAVE_ACCELERATE // using ACCELERATE |
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220 | AUBIO_FREE(s->spec.realp); |
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221 | AUBIO_FREE(s->spec.imagp); |
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222 | aubio_vDSP_destroy_fftsetup(s->fftSetup); |
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223 | #else // using OOURA |
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224 | AUBIO_FREE(s->w); |
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225 | AUBIO_FREE(s->ip); |
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226 | #endif /* HAVE_ACCELERATE */ |
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227 | #endif /* HAVE_FFTW3 */ |
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228 | AUBIO_FREE(s->out); |
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229 | AUBIO_FREE(s->in); |
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230 | AUBIO_FREE(s); |
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231 | } |
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232 | |
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233 | void aubio_fft_do(aubio_fft_t * s, const fvec_t * input, cvec_t * spectrum) { |
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234 | aubio_fft_do_complex(s, input, s->compspec); |
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235 | aubio_fft_get_spectrum(s->compspec, spectrum); |
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236 | } |
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237 | |
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238 | void aubio_fft_rdo(aubio_fft_t * s, const cvec_t * spectrum, fvec_t * output) { |
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239 | aubio_fft_get_realimag(spectrum, s->compspec); |
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240 | aubio_fft_rdo_complex(s, s->compspec, output); |
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241 | } |
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242 | |
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243 | void aubio_fft_do_complex(aubio_fft_t * s, const fvec_t * input, fvec_t * compspec) { |
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244 | uint_t i; |
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245 | #ifndef HAVE_MEMCPY_HACKS |
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246 | for (i=0; i < s->winsize; i++) { |
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247 | s->in[i] = input->data[i]; |
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248 | } |
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249 | #else |
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250 | memcpy(s->in, input->data, s->winsize * sizeof(smpl_t)); |
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251 | #endif /* HAVE_MEMCPY_HACKS */ |
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252 | #ifdef HAVE_FFTW3 // using FFTW3 |
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253 | fftw_execute(s->pfw); |
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254 | #ifdef HAVE_COMPLEX_H |
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255 | compspec->data[0] = REAL(s->specdata[0]); |
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256 | for (i = 1; i < s->fft_size -1 ; i++) { |
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257 | compspec->data[i] = REAL(s->specdata[i]); |
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258 | compspec->data[compspec->length - i] = IMAG(s->specdata[i]); |
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259 | } |
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260 | compspec->data[s->fft_size-1] = REAL(s->specdata[s->fft_size-1]); |
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261 | #else /* HAVE_COMPLEX_H */ |
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262 | for (i = 0; i < s->fft_size; i++) { |
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263 | compspec->data[i] = s->specdata[i]; |
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264 | } |
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265 | #endif /* HAVE_COMPLEX_H */ |
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266 | #else /* HAVE_FFTW3 */ |
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267 | #ifdef HAVE_ACCELERATE // using ACCELERATE |
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268 | // convert real data to even/odd format used in vDSP |
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269 | aubio_vDSP_ctoz((aubio_DSPComplex*)s->in, 2, &s->spec, 1, s->fft_size/2); |
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270 | // compute the FFT |
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271 | aubio_vDSP_fft_zrip(s->fftSetup, &s->spec, 1, s->log2fftsize, FFT_FORWARD); |
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272 | // convert from vDSP complex split to [ r0, r1, ..., rN, iN-1, .., i2, i1] |
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273 | compspec->data[0] = s->spec.realp[0]; |
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274 | compspec->data[s->fft_size / 2] = s->spec.imagp[0]; |
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275 | for (i = 1; i < s->fft_size / 2; i++) { |
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276 | compspec->data[i] = s->spec.realp[i]; |
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277 | compspec->data[s->fft_size - i] = s->spec.imagp[i]; |
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278 | } |
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279 | // apply scaling |
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280 | smpl_t scale = 1./2.; |
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281 | aubio_vDSP_vsmul(compspec->data, 1, &scale, compspec->data, 1, s->fft_size); |
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282 | #else // using OOURA |
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283 | rdft(s->winsize, 1, s->in, s->ip, s->w); |
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284 | compspec->data[0] = s->in[0]; |
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285 | compspec->data[s->winsize / 2] = s->in[1]; |
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286 | for (i = 1; i < s->fft_size - 1; i++) { |
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287 | compspec->data[i] = s->in[2 * i]; |
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288 | compspec->data[s->winsize - i] = - s->in[2 * i + 1]; |
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289 | } |
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290 | #endif /* HAVE_ACCELERATE */ |
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291 | #endif /* HAVE_FFTW3 */ |
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292 | } |
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293 | |
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294 | void aubio_fft_rdo_complex(aubio_fft_t * s, const fvec_t * compspec, fvec_t * output) { |
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295 | uint_t i; |
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296 | #ifdef HAVE_FFTW3 |
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297 | const smpl_t renorm = 1./(smpl_t)s->winsize; |
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298 | #ifdef HAVE_COMPLEX_H |
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299 | s->specdata[0] = compspec->data[0]; |
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300 | for (i=1; i < s->fft_size - 1; i++) { |
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301 | s->specdata[i] = compspec->data[i] + |
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302 | I * compspec->data[compspec->length - i]; |
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303 | } |
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304 | s->specdata[s->fft_size - 1] = compspec->data[s->fft_size - 1]; |
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305 | #else |
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306 | for (i=0; i < s->fft_size; i++) { |
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307 | s->specdata[i] = compspec->data[i]; |
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308 | } |
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309 | #endif |
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310 | fftw_execute(s->pbw); |
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311 | for (i = 0; i < output->length; i++) { |
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312 | output->data[i] = s->out[i]*renorm; |
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313 | } |
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314 | #else /* HAVE_FFTW3 */ |
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315 | #ifdef HAVE_ACCELERATE // using ACCELERATE |
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316 | // convert from real imag [ r0, r1, ..., rN, iN-1, .., i2, i1] |
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317 | // to vDSP packed format [ r0, rN, r1, i1, ..., rN-1, iN-1 ] |
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318 | s->out[0] = compspec->data[0]; |
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319 | s->out[1] = compspec->data[s->winsize / 2]; |
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320 | for (i = 1; i < s->fft_size / 2; i++) { |
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321 | s->out[2 * i] = compspec->data[i]; |
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322 | s->out[2 * i + 1] = compspec->data[s->winsize - i]; |
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323 | } |
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324 | // convert to split complex format used in vDSP |
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325 | aubio_vDSP_ctoz((aubio_DSPComplex*)s->out, 2, &s->spec, 1, s->fft_size/2); |
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326 | // compute the FFT |
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327 | aubio_vDSP_fft_zrip(s->fftSetup, &s->spec, 1, s->log2fftsize, FFT_INVERSE); |
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328 | // convert result to real output |
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329 | aubio_vDSP_ztoc(&s->spec, 1, (aubio_DSPComplex*)output->data, 2, s->fft_size/2); |
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330 | // apply scaling |
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331 | smpl_t scale = 1.0 / s->winsize; |
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332 | aubio_vDSP_vsmul(output->data, 1, &scale, output->data, 1, s->fft_size); |
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333 | #else // using OOURA |
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334 | smpl_t scale = 2.0 / s->winsize; |
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335 | s->out[0] = compspec->data[0]; |
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336 | s->out[1] = compspec->data[s->winsize / 2]; |
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337 | for (i = 1; i < s->fft_size - 1; i++) { |
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338 | s->out[2 * i] = compspec->data[i]; |
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339 | s->out[2 * i + 1] = - compspec->data[s->winsize - i]; |
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340 | } |
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341 | rdft(s->winsize, -1, s->out, s->ip, s->w); |
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342 | for (i=0; i < s->winsize; i++) { |
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343 | output->data[i] = s->out[i] * scale; |
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344 | } |
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345 | #endif /* HAVE_ACCELERATE */ |
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346 | #endif /* HAVE_FFTW3 */ |
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347 | } |
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348 | |
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349 | void aubio_fft_get_spectrum(const fvec_t * compspec, cvec_t * spectrum) { |
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350 | aubio_fft_get_phas(compspec, spectrum); |
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351 | aubio_fft_get_norm(compspec, spectrum); |
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352 | } |
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353 | |
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354 | void aubio_fft_get_realimag(const cvec_t * spectrum, fvec_t * compspec) { |
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355 | aubio_fft_get_imag(spectrum, compspec); |
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356 | aubio_fft_get_real(spectrum, compspec); |
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357 | } |
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358 | |
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359 | void aubio_fft_get_phas(const fvec_t * compspec, cvec_t * spectrum) { |
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360 | uint_t i; |
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361 | if (compspec->data[0] < 0) { |
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362 | spectrum->phas[0] = PI; |
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363 | } else { |
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364 | spectrum->phas[0] = 0.; |
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365 | } |
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366 | for (i=1; i < spectrum->length - 1; i++) { |
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367 | spectrum->phas[i] = ATAN2(compspec->data[compspec->length-i], |
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368 | compspec->data[i]); |
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369 | } |
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370 | if (compspec->data[compspec->length/2] < 0) { |
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371 | spectrum->phas[spectrum->length - 1] = PI; |
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372 | } else { |
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373 | spectrum->phas[spectrum->length - 1] = 0.; |
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374 | } |
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375 | } |
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376 | |
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377 | void aubio_fft_get_norm(const fvec_t * compspec, cvec_t * spectrum) { |
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378 | uint_t i = 0; |
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379 | spectrum->norm[0] = ABS(compspec->data[0]); |
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380 | for (i=1; i < spectrum->length - 1; i++) { |
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381 | spectrum->norm[i] = SQRT(SQR(compspec->data[i]) |
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382 | + SQR(compspec->data[compspec->length - i]) ); |
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383 | } |
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384 | spectrum->norm[spectrum->length-1] = |
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385 | ABS(compspec->data[compspec->length/2]); |
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386 | } |
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387 | |
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388 | void aubio_fft_get_imag(const cvec_t * spectrum, fvec_t * compspec) { |
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389 | uint_t i; |
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390 | for (i = 1; i < ( compspec->length + 1 ) / 2 /*- 1 + 1*/; i++) { |
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391 | compspec->data[compspec->length - i] = |
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392 | spectrum->norm[i]*SIN(spectrum->phas[i]); |
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393 | } |
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394 | } |
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395 | |
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396 | void aubio_fft_get_real(const cvec_t * spectrum, fvec_t * compspec) { |
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397 | uint_t i; |
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398 | for (i = 0; i < compspec->length / 2 + 1; i++) { |
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399 | compspec->data[i] = |
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400 | spectrum->norm[i]*COS(spectrum->phas[i]); |
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401 | } |
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402 | } |
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