[96fb8ad] | 1 | /* |
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[a6db140] | 2 | Copyright (C) 2003-2009 Paul Brossier <piem@aubio.org> |
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[96fb8ad] | 3 | |
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[a6db140] | 4 | This file is part of aubio. |
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[96fb8ad] | 5 | |
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[a6db140] | 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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[96fb8ad] | 10 | |
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[a6db140] | 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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[96fb8ad] | 18 | |
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| 19 | */ |
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| 20 | |
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| 21 | /* see in mathutils.h for doc */ |
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| 22 | |
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| 23 | #include "aubio_priv.h" |
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[6c7d49b] | 24 | #include "fvec.h" |
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[96fb8ad] | 25 | #include "mathutils.h" |
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[714380d] | 26 | #include "config.h" |
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[96fb8ad] | 27 | |
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[d84d19e] | 28 | fvec_t * new_aubio_window(uint_t size, aubio_window_type wintype) { |
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| 29 | // create fvec of size x 1 channel |
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| 30 | fvec_t * win = new_fvec( size, 1); |
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| 31 | smpl_t * w = win->data[0]; |
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[96fb8ad] | 32 | uint_t i; |
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| 33 | switch(wintype) { |
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[b4b0324] | 34 | case aubio_win_rectangle: |
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[96fb8ad] | 35 | for (i=0;i<size;i++) |
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[ade9afe] | 36 | w[i] = 0.5; |
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[96fb8ad] | 37 | break; |
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[b4b0324] | 38 | case aubio_win_hamming: |
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[96fb8ad] | 39 | for (i=0;i<size;i++) |
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| 40 | w[i] = 0.54 - 0.46 * COS(TWO_PI * i / (size)); |
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| 41 | break; |
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[b4b0324] | 42 | case aubio_win_hanning: |
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[96fb8ad] | 43 | for (i=0;i<size;i++) |
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| 44 | w[i] = 0.5 - (0.5 * COS(TWO_PI * i / (size))); |
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| 45 | break; |
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[b4b0324] | 46 | case aubio_win_hanningz: |
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[96fb8ad] | 47 | for (i=0;i<size;i++) |
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| 48 | w[i] = 0.5 * (1.0 - COS(TWO_PI * i / (size))); |
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| 49 | break; |
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[b4b0324] | 50 | case aubio_win_blackman: |
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[96fb8ad] | 51 | for (i=0;i<size;i++) |
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| 52 | w[i] = 0.42 |
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| 53 | - 0.50 * COS( TWO_PI*i/(size-1.0)) |
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[ade9afe] | 54 | + 0.08 * COS(2.0*TWO_PI*i/(size-1.0)); |
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[96fb8ad] | 55 | break; |
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[b4b0324] | 56 | case aubio_win_blackman_harris: |
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[96fb8ad] | 57 | for (i=0;i<size;i++) |
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[ade9afe] | 58 | w[i] = 0.35875 |
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[96fb8ad] | 59 | - 0.48829 * COS( TWO_PI*i/(size-1.0)) |
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| 60 | + 0.14128 * COS(2.0*TWO_PI*i/(size-1.0)) |
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| 61 | - 0.01168 * COS(3.0*TWO_PI*i/(size-1.0)); |
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| 62 | break; |
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[b4b0324] | 63 | case aubio_win_gaussian: |
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[96fb8ad] | 64 | for (i=0;i<size;i++) |
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| 65 | w[i] = EXP(- 1.0 / SQR(size) * SQR(2.0*i-size)); |
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| 66 | break; |
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[b4b0324] | 67 | case aubio_win_welch: |
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[96fb8ad] | 68 | for (i=0;i<size;i++) |
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| 69 | w[i] = 1.0 - SQR((2*i-size)/(size+1.0)); |
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| 70 | break; |
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[b4b0324] | 71 | case aubio_win_parzen: |
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[96fb8ad] | 72 | for (i=0;i<size;i++) |
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[8f70a18] | 73 | w[i] = 1.0 - ABS((2*i-size)/(size+1.0)); |
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[96fb8ad] | 74 | break; |
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| 75 | default: |
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| 76 | break; |
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| 77 | } |
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[d84d19e] | 78 | return win; |
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[96fb8ad] | 79 | } |
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| 80 | |
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[28d8c4a] | 81 | smpl_t aubio_unwrap2pi(smpl_t phase) { |
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[96fb8ad] | 82 | /* mod(phase+pi,-2pi)+pi */ |
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[8f70a18] | 83 | return phase + TWO_PI * (1. + FLOOR(-(phase+PI)/TWO_PI)); |
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[96fb8ad] | 84 | } |
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| 85 | |
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[8b28524] | 86 | smpl_t fvec_mean(fvec_t *s) { |
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[96fb8ad] | 87 | uint_t i,j; |
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[acf7d30] | 88 | smpl_t tmp = 0.0; |
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[96fb8ad] | 89 | for (i=0; i < s->channels; i++) |
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| 90 | for (j=0; j < s->length; j++) |
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| 91 | tmp += s->data[i][j]; |
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| 92 | return tmp/(smpl_t)(s->length); |
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| 93 | } |
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| 94 | |
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[5c4ec3c] | 95 | smpl_t fvec_sum(fvec_t *s) { |
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[96fb8ad] | 96 | uint_t i,j; |
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[acf7d30] | 97 | smpl_t tmp = 0.0; |
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[96fb8ad] | 98 | for (i=0; i < s->channels; i++) |
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| 99 | for (j=0; j < s->length; j++) |
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| 100 | tmp += s->data[i][j]; |
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| 101 | return tmp; |
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| 102 | } |
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| 103 | |
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[1e2c82f] | 104 | smpl_t fvec_max(fvec_t *s) { |
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[96fb8ad] | 105 | uint_t i,j; |
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[acf7d30] | 106 | smpl_t tmp = 0.0; |
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[96fb8ad] | 107 | for (i=0; i < s->channels; i++) |
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| 108 | for (j=0; j < s->length; j++) |
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| 109 | tmp = (tmp > s->data[i][j])? tmp : s->data[i][j]; |
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| 110 | return tmp; |
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| 111 | } |
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| 112 | |
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[2f64b0e] | 113 | smpl_t fvec_min(fvec_t *s) { |
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[96fb8ad] | 114 | uint_t i,j; |
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| 115 | smpl_t tmp = s->data[0][0]; |
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| 116 | for (i=0; i < s->channels; i++) |
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| 117 | for (j=0; j < s->length; j++) |
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| 118 | tmp = (tmp < s->data[i][j])? tmp : s->data[i][j] ; |
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| 119 | return tmp; |
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| 120 | } |
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| 121 | |
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[2f64b0e] | 122 | uint_t fvec_min_elem(fvec_t *s) { |
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[96fb8ad] | 123 | uint_t i,j=0, pos=0.; |
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| 124 | smpl_t tmp = s->data[0][0]; |
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| 125 | for (i=0; i < s->channels; i++) |
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| 126 | for (j=0; j < s->length; j++) { |
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| 127 | pos = (tmp < s->data[i][j])? pos : j; |
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| 128 | tmp = (tmp < s->data[i][j])? tmp : s->data[i][j] ; |
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| 129 | } |
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| 130 | return pos; |
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| 131 | } |
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| 132 | |
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[1e2c82f] | 133 | uint_t fvec_max_elem(fvec_t *s) { |
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[96fb8ad] | 134 | uint_t i,j=0, pos=0.; |
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[acf7d30] | 135 | smpl_t tmp = 0.0; |
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[96fb8ad] | 136 | for (i=0; i < s->channels; i++) |
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| 137 | for (j=0; j < s->length; j++) { |
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| 138 | pos = (tmp > s->data[i][j])? pos : j; |
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| 139 | tmp = (tmp > s->data[i][j])? tmp : s->data[i][j] ; |
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| 140 | } |
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| 141 | return pos; |
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| 142 | } |
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| 143 | |
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[5c4ec3c] | 144 | void fvec_shift(fvec_t *s) { |
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[96fb8ad] | 145 | uint_t i,j; |
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[acf7d30] | 146 | //smpl_t tmp = 0.0; |
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[96fb8ad] | 147 | for (i=0; i < s->channels; i++) |
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| 148 | for (j=0; j < s->length / 2 ; j++) { |
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| 149 | //tmp = s->data[i][j]; |
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| 150 | //s->data[i][j] = s->data[i][j+s->length/2]; |
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| 151 | //s->data[i][j+s->length/2] = tmp; |
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| 152 | ELEM_SWAP(s->data[i][j],s->data[i][j+s->length/2]); |
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| 153 | } |
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| 154 | } |
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| 155 | |
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[5c4ec3c] | 156 | smpl_t fvec_local_energy(fvec_t * f) { |
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[96fb8ad] | 157 | smpl_t locE = 0.; |
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| 158 | uint_t i,j; |
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| 159 | for (i=0;i<f->channels;i++) |
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| 160 | for (j=0;j<f->length;j++) |
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| 161 | locE+=SQR(f->data[i][j]); |
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| 162 | return locE; |
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| 163 | } |
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| 164 | |
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[5c4ec3c] | 165 | smpl_t fvec_local_hfc(fvec_t * f) { |
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[96fb8ad] | 166 | smpl_t locE = 0.; |
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| 167 | uint_t i,j; |
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| 168 | for (i=0;i<f->channels;i++) |
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| 169 | for (j=0;j<f->length;j++) |
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| 170 | locE+=(i+1)*f->data[i][j]; |
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| 171 | return locE; |
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| 172 | } |
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| 173 | |
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[5c4ec3c] | 174 | smpl_t fvec_alpha_norm(fvec_t * DF, smpl_t alpha) { |
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[96fb8ad] | 175 | smpl_t tmp = 0.; |
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| 176 | uint_t i,j; |
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| 177 | for (i=0;i<DF->channels;i++) |
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| 178 | for (j=0;j<DF->length;j++) |
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| 179 | tmp += POW(ABS(DF->data[i][j]),alpha); |
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| 180 | return POW(tmp/DF->length,1./alpha); |
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| 181 | } |
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| 182 | |
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[c0b295c] | 183 | void |
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| 184 | fvec_min_removal (fvec_t * o) |
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| 185 | { |
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| 186 | uint_t i, j; |
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| 187 | smpl_t mini = fvec_min (mag); |
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| 188 | for (i = 0; i < o->channels; i++) { |
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| 189 | for (j = 0; j < o->length; j++) { |
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[96fb8ad] | 190 | mag->data[i][j] -= mini; |
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| 191 | } |
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[c0b295c] | 192 | } |
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[96fb8ad] | 193 | } |
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| 194 | |
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[5c4ec3c] | 195 | void fvec_alpha_normalise(fvec_t * mag, uint_t alpha) { |
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[96fb8ad] | 196 | smpl_t alphan = 1.; |
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| 197 | uint_t length = mag->length, i=0, j; |
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[5c4ec3c] | 198 | alphan = fvec_alpha_norm(mag,alpha); |
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[96fb8ad] | 199 | for (j=0;j<length;j++){ |
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| 200 | mag->data[i][j] /= alphan; |
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| 201 | } |
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| 202 | } |
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| 203 | |
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[5c4ec3c] | 204 | void fvec_add(fvec_t * mag, smpl_t threshold) { |
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[96fb8ad] | 205 | uint_t length = mag->length, i=0, j; |
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| 206 | for (j=0;j<length;j++) { |
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| 207 | mag->data[i][j] += threshold; |
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| 208 | } |
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| 209 | } |
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| 210 | |
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[5c4ec3c] | 211 | void fvec_adapt_thres(fvec_t * vec, fvec_t * tmp, |
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[ade9afe] | 212 | uint_t post, uint_t pre) { |
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[96fb8ad] | 213 | uint_t length = vec->length, i=0, j; |
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| 214 | for (j=0;j<length;j++) { |
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[5c4ec3c] | 215 | vec->data[i][j] -= fvec_moving_thres(vec, tmp, post, pre, j); |
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[96fb8ad] | 216 | } |
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| 217 | } |
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| 218 | |
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[5c4ec3c] | 219 | smpl_t fvec_moving_thres(fvec_t * vec, fvec_t * tmpvec, |
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[ade9afe] | 220 | uint_t post, uint_t pre, uint_t pos) { |
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[96fb8ad] | 221 | smpl_t * medar = (smpl_t *)tmpvec->data[0]; |
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| 222 | uint_t k; |
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| 223 | uint_t win_length = post+pre+1; |
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| 224 | uint_t length = vec->length; |
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| 225 | /* post part of the buffer does not exist */ |
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| 226 | if (pos<post+1) { |
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[ade9afe] | 227 | for (k=0;k<post+1-pos;k++) |
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[96fb8ad] | 228 | medar[k] = 0.; /* 0-padding at the beginning */ |
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| 229 | for (k=post+1-pos;k<win_length;k++) |
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| 230 | medar[k] = vec->data[0][k+pos-post]; |
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| 231 | /* the buffer is fully defined */ |
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| 232 | } else if (pos+pre<length) { |
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| 233 | for (k=0;k<win_length;k++) |
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| 234 | medar[k] = vec->data[0][k+pos-post]; |
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| 235 | /* pre part of the buffer does not exist */ |
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| 236 | } else { |
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[4bb32f4] | 237 | for (k=0;k<length-pos+post;k++) |
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[96fb8ad] | 238 | medar[k] = vec->data[0][k+pos-post]; |
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[4bb32f4] | 239 | for (k=length-pos+post;k<win_length;k++) |
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[96fb8ad] | 240 | medar[k] = 0.; /* 0-padding at the end */ |
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[ade9afe] | 241 | } |
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[5c4ec3c] | 242 | return fvec_median(tmpvec); |
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[96fb8ad] | 243 | } |
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| 244 | |
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[5c4ec3c] | 245 | smpl_t fvec_median(fvec_t * input) { |
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[96fb8ad] | 246 | uint_t n = input->length; |
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| 247 | smpl_t * arr = (smpl_t *) input->data[0]; |
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| 248 | uint_t low, high ; |
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| 249 | uint_t median; |
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| 250 | uint_t middle, ll, hh; |
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| 251 | |
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| 252 | low = 0 ; high = n-1 ; median = (low + high) / 2; |
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| 253 | for (;;) { |
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| 254 | if (high <= low) /* One element only */ |
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| 255 | return arr[median] ; |
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| 256 | |
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| 257 | if (high == low + 1) { /* Two elements only */ |
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| 258 | if (arr[low] > arr[high]) |
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| 259 | ELEM_SWAP(arr[low], arr[high]) ; |
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| 260 | return arr[median] ; |
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| 261 | } |
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| 262 | |
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| 263 | /* Find median of low, middle and high items; swap into position low */ |
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| 264 | middle = (low + high) / 2; |
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| 265 | if (arr[middle] > arr[high]) ELEM_SWAP(arr[middle], arr[high]); |
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| 266 | if (arr[low] > arr[high]) ELEM_SWAP(arr[low], arr[high]); |
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| 267 | if (arr[middle] > arr[low]) ELEM_SWAP(arr[middle], arr[low]) ; |
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| 268 | |
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| 269 | /* Swap low item (now in position middle) into position (low+1) */ |
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| 270 | ELEM_SWAP(arr[middle], arr[low+1]) ; |
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| 271 | |
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| 272 | /* Nibble from each end towards middle, swapping items when stuck */ |
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| 273 | ll = low + 1; |
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| 274 | hh = high; |
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| 275 | for (;;) { |
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| 276 | do ll++; while (arr[low] > arr[ll]) ; |
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| 277 | do hh--; while (arr[hh] > arr[low]) ; |
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| 278 | |
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| 279 | if (hh < ll) |
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| 280 | break; |
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| 281 | |
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| 282 | ELEM_SWAP(arr[ll], arr[hh]) ; |
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| 283 | } |
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| 284 | |
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| 285 | /* Swap middle item (in position low) back into correct position */ |
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| 286 | ELEM_SWAP(arr[low], arr[hh]) ; |
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| 287 | |
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| 288 | /* Re-set active partition */ |
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| 289 | if (hh <= median) |
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| 290 | low = ll; |
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| 291 | if (hh >= median) |
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| 292 | high = hh - 1; |
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| 293 | } |
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| 294 | } |
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| 295 | |
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[5c4ec3c] | 296 | smpl_t fvec_quadint(fvec_t * x,uint_t pos, uint_t span) { |
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[c5c0c98] | 297 | smpl_t s0, s1, s2; |
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| 298 | uint_t x0 = (pos < span) ? pos : pos - span; |
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| 299 | uint_t x2 = (pos + span < x->length) ? pos + span : pos; |
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| 300 | if (x0 == pos) return (x->data[0][pos] <= x->data[0][x2]) ? pos : x2; |
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| 301 | if (x2 == pos) return (x->data[0][pos] <= x->data[0][x0]) ? pos : x0; |
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| 302 | s0 = x->data[0][x0]; |
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| 303 | s1 = x->data[0][pos] ; |
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| 304 | s2 = x->data[0][x2]; |
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| 305 | return pos + 0.5 * (s2 - s0 ) / (s2 - 2.* s1 + s0); |
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[9771488] | 306 | } |
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| 307 | |
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[28d8c4a] | 308 | smpl_t aubio_quadfrac(smpl_t s0, smpl_t s1, smpl_t s2, smpl_t pf) { |
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[96fb8ad] | 309 | smpl_t tmp = s0 + (pf/2.) * (pf * ( s0 - 2.*s1 + s2 ) - 3.*s0 + 4.*s1 - s2); |
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| 310 | return tmp; |
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| 311 | } |
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| 312 | |
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[5c4ec3c] | 313 | uint_t fvec_peakpick(fvec_t * onset, uint_t pos) { |
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[ade9afe] | 314 | uint_t i=0, tmp=0; |
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| 315 | /*for (i=0;i<onset->channels;i++)*/ |
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| 316 | tmp = (onset->data[i][pos] > onset->data[i][pos-1] |
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| 317 | && onset->data[i][pos] > onset->data[i][pos+1] |
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| 318 | && onset->data[i][pos] > 0.); |
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| 319 | return tmp; |
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[96fb8ad] | 320 | } |
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| 321 | |
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[28d8c4a] | 322 | smpl_t aubio_freqtomidi(smpl_t freq) { |
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[ade9afe] | 323 | /* log(freq/A-2)/log(2) */ |
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| 324 | smpl_t midi = freq/6.875; |
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| 325 | midi = LOG(midi)/0.69314718055995; |
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| 326 | midi *= 12; |
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| 327 | midi -= 3; |
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| 328 | return midi; |
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[79c2e52] | 329 | } |
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| 330 | |
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| 331 | smpl_t aubio_miditofreq(smpl_t midi) { |
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[ade9afe] | 332 | smpl_t freq = (midi+3.)/12.; |
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| 333 | freq = EXP(freq*0.69314718055995); |
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| 334 | freq *= 6.875; |
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| 335 | return freq; |
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[96fb8ad] | 336 | } |
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| 337 | |
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[28d8c4a] | 338 | smpl_t aubio_bintofreq(smpl_t bin, smpl_t samplerate, smpl_t fftsize) { |
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[96fb8ad] | 339 | smpl_t freq = samplerate/fftsize; |
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| 340 | return freq*bin; |
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| 341 | } |
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| 342 | |
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[28d8c4a] | 343 | smpl_t aubio_bintomidi(smpl_t bin, smpl_t samplerate, smpl_t fftsize) { |
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| 344 | smpl_t midi = aubio_bintofreq(bin,samplerate,fftsize); |
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| 345 | return aubio_freqtomidi(midi); |
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[96fb8ad] | 346 | } |
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| 347 | |
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[79c2e52] | 348 | smpl_t aubio_freqtobin(smpl_t freq, smpl_t samplerate, smpl_t fftsize) { |
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| 349 | smpl_t bin = fftsize/samplerate; |
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| 350 | return freq*bin; |
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| 351 | } |
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| 352 | |
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| 353 | smpl_t aubio_miditobin(smpl_t midi, smpl_t samplerate, smpl_t fftsize) { |
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| 354 | smpl_t freq = aubio_miditofreq(midi); |
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| 355 | return aubio_freqtobin(freq,samplerate,fftsize); |
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| 356 | } |
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| 357 | |
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[ade9afe] | 358 | /** returns 1 if wassilence is 0 and RMS(ibuf)<threshold |
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[96fb8ad] | 359 | * \bug mono |
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| 360 | */ |
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| 361 | uint_t aubio_silence_detection(fvec_t * ibuf, smpl_t threshold) { |
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| 362 | smpl_t loudness = 0; |
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| 363 | uint_t i=0,j; |
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| 364 | for (j=0;j<ibuf->length;j++) { |
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| 365 | loudness += SQR(ibuf->data[i][j]); |
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| 366 | } |
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| 367 | loudness = SQRT(loudness); |
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| 368 | loudness /= (smpl_t)ibuf->length; |
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| 369 | loudness = LIN2DB(loudness); |
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| 370 | |
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| 371 | return (loudness < threshold); |
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| 372 | } |
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| 373 | |
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| 374 | /** returns level log(RMS(ibuf)) if < threshold, 1 otherwise |
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| 375 | * \bug mono |
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| 376 | */ |
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| 377 | smpl_t aubio_level_detection(fvec_t * ibuf, smpl_t threshold) { |
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| 378 | smpl_t loudness = 0; |
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| 379 | uint_t i=0,j; |
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| 380 | for (j=0;j<ibuf->length;j++) { |
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| 381 | loudness += SQR(ibuf->data[i][j]); |
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| 382 | } |
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| 383 | loudness = SQRT(loudness); |
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| 384 | loudness /= (smpl_t)ibuf->length; |
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| 385 | loudness = LIN2DB(loudness); |
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| 386 | |
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| 387 | if (loudness < threshold) |
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[ade9afe] | 388 | return 1.; |
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[96fb8ad] | 389 | else |
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[ade9afe] | 390 | return loudness; |
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[96fb8ad] | 391 | } |
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[a0fd4e4] | 392 | |
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[fff2bee] | 393 | smpl_t aubio_zero_crossing_rate(fvec_t * input) { |
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| 394 | uint_t i=0,j; |
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| 395 | uint_t zcr = 0; |
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| 396 | for ( j = 1; j < input->length; j++ ) { |
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[7e204d01] | 397 | // previous was strictly negative |
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| 398 | if( input->data[i][j-1] < 0. ) { |
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| 399 | // current is positive or null |
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| 400 | if ( input->data[i][j] >= 0. ) { |
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| 401 | zcr += 1; |
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| 402 | } |
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| 403 | // previous was positive or null |
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| 404 | } else { |
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| 405 | // current is strictly negative |
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| 406 | if ( input->data[i][j] < 0. ) { |
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[fff2bee] | 407 | zcr += 1; |
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| 408 | } |
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| 409 | } |
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| 410 | } |
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| 411 | return zcr/(smpl_t)input->length; |
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| 412 | } |
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| 413 | |
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[ade9afe] | 414 | void aubio_autocorr(fvec_t * input, fvec_t * output) { |
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| 415 | uint_t i = 0, j = 0, length = input->length; |
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| 416 | smpl_t * data = input->data[0]; |
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| 417 | smpl_t * acf = output->data[0]; |
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| 418 | smpl_t tmp =0.; |
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| 419 | for(i=0;i<length;i++){ |
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| 420 | for(j=i;j<length;j++){ |
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| 421 | tmp += data[j-i]*data[j]; |
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| 422 | } |
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| 423 | acf[i] = tmp /(smpl_t)(length-i); |
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| 424 | tmp = 0.0; |
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| 425 | } |
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[a0fd4e4] | 426 | } |
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| 427 | |
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[ade9afe] | 428 | void aubio_cleanup(void) { |
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[b511fa9] | 429 | #if HAVE_FFTW3 |
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[ade9afe] | 430 | fftw_cleanup(); |
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[714380d] | 431 | #else |
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[b511fa9] | 432 | #if HAVE_FFTW3F |
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[ade9afe] | 433 | fftwf_cleanup(); |
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[714380d] | 434 | #endif |
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| 435 | #endif |
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| 436 | } |
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