| 1 | /**************************************************************************/ | 
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| 2 | /*  audio_filter_sw.cpp                                                   */ | 
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| 3 | /**************************************************************************/ | 
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| 4 | /*                         This file is part of:                          */ | 
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| 5 | /*                             GODOT ENGINE                               */ | 
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| 6 | /*                        https://godotengine.org                         */ | 
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| 7 | /**************************************************************************/ | 
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| 8 | /* Copyright (c) 2014-present Godot Engine contributors (see AUTHORS.md). */ | 
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| 9 | /* Copyright (c) 2007-2014 Juan Linietsky, Ariel Manzur.                  */ | 
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| 10 | /*                                                                        */ | 
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| 11 | /* Permission is hereby granted, free of charge, to any person obtaining  */ | 
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| 12 | /* a copy of this software and associated documentation files (the        */ | 
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| 13 | /* "Software"), to deal in the Software without restriction, including    */ | 
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| 14 | /* without limitation the rights to use, copy, modify, merge, publish,    */ | 
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| 15 | /* distribute, sublicense, and/or sell copies of the Software, and to     */ | 
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| 16 | /* permit persons to whom the Software is furnished to do so, subject to  */ | 
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| 17 | /* the following conditions:                                              */ | 
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| 18 | /*                                                                        */ | 
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| 19 | /* The above copyright notice and this permission notice shall be         */ | 
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| 20 | /* included in all copies or substantial portions of the Software.        */ | 
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| 21 | /*                                                                        */ | 
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| 22 | /* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,        */ | 
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| 23 | /* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF     */ | 
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| 24 | /* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. */ | 
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| 25 | /* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY   */ | 
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| 26 | /* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,   */ | 
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| 27 | /* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE      */ | 
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| 28 | /* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.                 */ | 
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| 29 | /**************************************************************************/ | 
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| 30 |  | 
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| 31 | #include "audio_filter_sw.h" | 
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| 32 |  | 
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| 33 | void AudioFilterSW::set_mode(Mode p_mode) { | 
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| 34 | mode = p_mode; | 
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| 35 | } | 
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| 36 |  | 
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| 37 | void AudioFilterSW::set_cutoff(float p_cutoff) { | 
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| 38 | cutoff = p_cutoff; | 
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| 39 | } | 
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| 40 |  | 
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| 41 | void AudioFilterSW::set_resonance(float p_resonance) { | 
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| 42 | resonance = p_resonance; | 
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| 43 | } | 
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| 44 |  | 
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| 45 | void AudioFilterSW::set_gain(float p_gain) { | 
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| 46 | gain = p_gain; | 
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| 47 | } | 
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| 48 |  | 
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| 49 | void AudioFilterSW::set_sampling_rate(float p_srate) { | 
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| 50 | sampling_rate = p_srate; | 
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| 51 | } | 
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| 52 |  | 
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| 53 | void AudioFilterSW::prepare_coefficients(Coeffs *p_coeffs) { | 
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| 54 | int sr_limit = (sampling_rate / 2) + 512; | 
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| 55 |  | 
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| 56 | double final_cutoff = (cutoff > sr_limit) ? sr_limit : cutoff; | 
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| 57 | if (final_cutoff < 1) { | 
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| 58 | final_cutoff = 1; //don't allow less than this | 
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| 59 | } | 
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| 60 |  | 
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| 61 | double omega = Math_TAU * final_cutoff / sampling_rate; | 
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| 62 |  | 
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| 63 | double sin_v = Math::sin(omega); | 
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| 64 | double cos_v = Math::cos(omega); | 
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| 65 |  | 
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| 66 | double Q = resonance; | 
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| 67 | if (Q <= 0.0) { | 
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| 68 | Q = 0.0001; | 
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| 69 | } | 
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| 70 |  | 
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| 71 | if (mode == BANDPASS) { | 
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| 72 | Q *= 2.0; | 
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| 73 | } else if (mode == PEAK) { | 
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| 74 | Q *= 3.0; | 
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| 75 | } | 
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| 76 |  | 
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| 77 | double tmpgain = gain; | 
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| 78 |  | 
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| 79 | if (tmpgain < 0.001) { | 
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| 80 | tmpgain = 0.001; | 
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| 81 | } | 
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| 82 |  | 
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| 83 | if (stages > 1) { | 
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| 84 | Q = (Q > 1.0 ? Math::pow(Q, 1.0 / stages) : Q); | 
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| 85 | tmpgain = Math::pow(tmpgain, 1.0 / (stages + 1)); | 
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| 86 | } | 
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| 87 | double alpha = sin_v / (2 * Q); | 
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| 88 |  | 
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| 89 | double a0 = 1.0 + alpha; | 
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| 90 |  | 
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| 91 | switch (mode) { | 
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| 92 | case LOWPASS: { | 
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| 93 | p_coeffs->b0 = (1.0 - cos_v) / 2.0; | 
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| 94 | p_coeffs->b1 = 1.0 - cos_v; | 
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| 95 | p_coeffs->b2 = (1.0 - cos_v) / 2.0; | 
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| 96 | p_coeffs->a1 = -2.0 * cos_v; | 
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| 97 | p_coeffs->a2 = 1.0 - alpha; | 
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| 98 | } break; | 
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| 99 |  | 
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| 100 | case HIGHPASS: { | 
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| 101 | p_coeffs->b0 = (1.0 + cos_v) / 2.0; | 
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| 102 | p_coeffs->b1 = -(1.0 + cos_v); | 
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| 103 | p_coeffs->b2 = (1.0 + cos_v) / 2.0; | 
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| 104 | p_coeffs->a1 = -2.0 * cos_v; | 
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| 105 | p_coeffs->a2 = 1.0 - alpha; | 
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| 106 | } break; | 
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| 107 |  | 
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| 108 | case BANDPASS: { | 
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| 109 | p_coeffs->b0 = alpha * sqrt(Q + 1); | 
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| 110 | p_coeffs->b1 = 0.0; | 
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| 111 | p_coeffs->b2 = -alpha * sqrt(Q + 1); | 
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| 112 | p_coeffs->a1 = -2.0 * cos_v; | 
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| 113 | p_coeffs->a2 = 1.0 - alpha; | 
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| 114 | } break; | 
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| 115 |  | 
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| 116 | case NOTCH: { | 
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| 117 | p_coeffs->b0 = 1.0; | 
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| 118 | p_coeffs->b1 = -2.0 * cos_v; | 
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| 119 | p_coeffs->b2 = 1.0; | 
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| 120 | p_coeffs->a1 = -2.0 * cos_v; | 
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| 121 | p_coeffs->a2 = 1.0 - alpha; | 
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| 122 | } break; | 
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| 123 | case PEAK: { | 
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| 124 | p_coeffs->b0 = (1.0 + alpha * tmpgain); | 
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| 125 | p_coeffs->b1 = (-2.0 * cos_v); | 
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| 126 | p_coeffs->b2 = (1.0 - alpha * tmpgain); | 
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| 127 | p_coeffs->a1 = -2 * cos_v; | 
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| 128 | p_coeffs->a2 = (1 - alpha / tmpgain); | 
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| 129 | } break; | 
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| 130 | case BANDLIMIT: { | 
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| 131 | //this one is extra tricky | 
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| 132 | double hicutoff = resonance; | 
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| 133 | double centercutoff = (cutoff + resonance) / 2.0; | 
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| 134 | double bandwidth = (Math::log(centercutoff) - Math::log(hicutoff)) / Math::log((double)2); | 
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| 135 | omega = Math_TAU * centercutoff / sampling_rate; | 
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| 136 | alpha = Math::sin(omega) * Math::sinh(Math::log((double)2) / 2 * bandwidth * omega / Math::sin(omega)); | 
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| 137 | a0 = 1 + alpha; | 
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| 138 |  | 
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| 139 | p_coeffs->b0 = alpha; | 
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| 140 | p_coeffs->b1 = 0; | 
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| 141 | p_coeffs->b2 = -alpha; | 
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| 142 | p_coeffs->a1 = -2 * Math::cos(omega); | 
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| 143 | p_coeffs->a2 = 1 - alpha; | 
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| 144 |  | 
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| 145 | } break; | 
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| 146 | case LOWSHELF: { | 
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| 147 | double tmpq = Math::sqrt(Q); | 
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| 148 | if (tmpq <= 0) { | 
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| 149 | tmpq = 0.001; | 
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| 150 | } | 
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| 151 | double beta = Math::sqrt(tmpgain) / tmpq; | 
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| 152 |  | 
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| 153 | a0 = (tmpgain + 1.0) + (tmpgain - 1.0) * cos_v + beta * sin_v; | 
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| 154 | p_coeffs->b0 = tmpgain * ((tmpgain + 1.0) - (tmpgain - 1.0) * cos_v + beta * sin_v); | 
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| 155 | p_coeffs->b1 = 2.0 * tmpgain * ((tmpgain - 1.0) - (tmpgain + 1.0) * cos_v); | 
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| 156 | p_coeffs->b2 = tmpgain * ((tmpgain + 1.0) - (tmpgain - 1.0) * cos_v - beta * sin_v); | 
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| 157 | p_coeffs->a1 = -2.0 * ((tmpgain - 1.0) + (tmpgain + 1.0) * cos_v); | 
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| 158 | p_coeffs->a2 = ((tmpgain + 1.0) + (tmpgain - 1.0) * cos_v - beta * sin_v); | 
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| 159 |  | 
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| 160 | } break; | 
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| 161 | case HIGHSHELF: { | 
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| 162 | double tmpq = Math::sqrt(Q); | 
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| 163 | if (tmpq <= 0) { | 
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| 164 | tmpq = 0.001; | 
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| 165 | } | 
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| 166 | double beta = Math::sqrt(tmpgain) / tmpq; | 
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| 167 |  | 
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| 168 | a0 = (tmpgain + 1.0) - (tmpgain - 1.0) * cos_v + beta * sin_v; | 
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| 169 | p_coeffs->b0 = tmpgain * ((tmpgain + 1.0) + (tmpgain - 1.0) * cos_v + beta * sin_v); | 
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| 170 | p_coeffs->b1 = -2.0 * tmpgain * ((tmpgain - 1.0) + (tmpgain + 1.0) * cos_v); | 
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| 171 | p_coeffs->b2 = tmpgain * ((tmpgain + 1.0) + (tmpgain - 1.0) * cos_v - beta * sin_v); | 
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| 172 | p_coeffs->a1 = 2.0 * ((tmpgain - 1.0) - (tmpgain + 1.0) * cos_v); | 
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| 173 | p_coeffs->a2 = ((tmpgain + 1.0) - (tmpgain - 1.0) * cos_v - beta * sin_v); | 
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| 174 |  | 
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| 175 | } break; | 
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| 176 | } | 
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| 177 |  | 
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| 178 | p_coeffs->b0 /= a0; | 
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| 179 | p_coeffs->b1 /= a0; | 
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| 180 | p_coeffs->b2 /= a0; | 
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| 181 | p_coeffs->a1 /= 0.0 - a0; | 
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| 182 | p_coeffs->a2 /= 0.0 - a0; | 
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| 183 | } | 
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| 184 |  | 
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| 185 | void AudioFilterSW::set_stages(int p_stages) { | 
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| 186 | stages = p_stages; | 
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| 187 | } | 
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| 188 |  | 
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| 189 | /* Fourier transform kernel to obtain response */ | 
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| 190 |  | 
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| 191 | float AudioFilterSW::get_response(float p_freq, Coeffs *p_coeffs) { | 
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| 192 | float freq = p_freq / sampling_rate * Math_TAU; | 
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| 193 |  | 
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| 194 | float cx = p_coeffs->b0, cy = 0.0; | 
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| 195 |  | 
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| 196 | cx += cos(freq) * p_coeffs->b1; | 
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| 197 | cy -= sin(freq) * p_coeffs->b1; | 
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| 198 | cx += cos(2 * freq) * p_coeffs->b2; | 
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| 199 | cy -= sin(2 * freq) * p_coeffs->b2; | 
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| 200 |  | 
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| 201 | float H = cx * cx + cy * cy; | 
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| 202 | cx = 1.0; | 
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| 203 | cy = 0.0; | 
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| 204 |  | 
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| 205 | cx -= cos(freq) * p_coeffs->a1; | 
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| 206 | cy += sin(freq) * p_coeffs->a1; | 
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| 207 | cx -= cos(2 * freq) * p_coeffs->a2; | 
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| 208 | cy += sin(2 * freq) * p_coeffs->a2; | 
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| 209 |  | 
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| 210 | H = H / (cx * cx + cy * cy); | 
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| 211 | return H; | 
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| 212 | } | 
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| 213 |  | 
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| 214 | AudioFilterSW::Processor::Processor() { | 
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| 215 | set_filter(nullptr); | 
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| 216 | } | 
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| 217 |  | 
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| 218 | void AudioFilterSW::Processor::set_filter(AudioFilterSW *p_filter, bool p_clear_history) { | 
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| 219 | if (p_clear_history) { | 
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| 220 | ha1 = ha2 = hb1 = hb2 = 0; | 
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| 221 | } | 
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| 222 | filter = p_filter; | 
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| 223 | } | 
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| 224 |  | 
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| 225 | void AudioFilterSW::Processor::update_coeffs(int p_interp_buffer_len) { | 
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| 226 | if (!filter) { | 
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| 227 | return; | 
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| 228 | } | 
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| 229 |  | 
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| 230 | if (p_interp_buffer_len) { //interpolate | 
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| 231 | Coeffs old_coeffs = coeffs; | 
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| 232 | filter->prepare_coefficients(&coeffs); | 
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| 233 | incr_coeffs.a1 = (coeffs.a1 - old_coeffs.a1) / p_interp_buffer_len; | 
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| 234 | incr_coeffs.a2 = (coeffs.a2 - old_coeffs.a2) / p_interp_buffer_len; | 
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| 235 | incr_coeffs.b0 = (coeffs.b0 - old_coeffs.b0) / p_interp_buffer_len; | 
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| 236 | incr_coeffs.b1 = (coeffs.b1 - old_coeffs.b1) / p_interp_buffer_len; | 
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| 237 | incr_coeffs.b2 = (coeffs.b2 - old_coeffs.b2) / p_interp_buffer_len; | 
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| 238 | coeffs = old_coeffs; | 
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| 239 | } else { | 
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| 240 | filter->prepare_coefficients(&coeffs); | 
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| 241 | } | 
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| 242 | } | 
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| 243 |  | 
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| 244 | void AudioFilterSW::Processor::process(float *p_samples, int p_amount, int p_stride, bool p_interpolate) { | 
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| 245 | if (!filter) { | 
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| 246 | return; | 
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| 247 | } | 
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| 248 |  | 
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| 249 | if (p_interpolate) { | 
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| 250 | for (int i = 0; i < p_amount; i++) { | 
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| 251 | process_one_interp(*p_samples); | 
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| 252 | p_samples += p_stride; | 
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| 253 | } | 
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| 254 | } else { | 
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| 255 | for (int i = 0; i < p_amount; i++) { | 
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| 256 | process_one(*p_samples); | 
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| 257 | p_samples += p_stride; | 
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| 258 | } | 
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| 259 | } | 
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| 260 | } | 
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| 261 |  | 
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