diff options
Diffstat (limited to 'cras/src/dsp/biquad.c')
-rw-r--r-- | cras/src/dsp/biquad.c | 381 |
1 files changed, 0 insertions, 381 deletions
diff --git a/cras/src/dsp/biquad.c b/cras/src/dsp/biquad.c deleted file mode 100644 index 337a4393..00000000 --- a/cras/src/dsp/biquad.c +++ /dev/null @@ -1,381 +0,0 @@ -/* Copyright (c) 2013 The Chromium OS Authors. All rights reserved. - * Use of this source code is governed by a BSD-style license that can be - * found in the LICENSE file. - */ - -/* Copyright (C) 2010 Google Inc. All rights reserved. - * Use of this source code is governed by a BSD-style license that can be - * found in the LICENSE.WEBKIT file. - */ - -#include <math.h> -#include "biquad.h" - -#ifndef max -#define max(a, b) \ - ({ \ - __typeof__(a) _a = (a); \ - __typeof__(b) _b = (b); \ - _a > _b ? _a : _b; \ - }) -#endif - -#ifndef min -#define min(a, b) \ - ({ \ - __typeof__(a) _a = (a); \ - __typeof__(b) _b = (b); \ - _a < _b ? _a : _b; \ - }) -#endif - -#ifndef M_PI -#define M_PI 3.14159265358979323846 -#endif - -static void set_coefficient(struct biquad *bq, double b0, double b1, double b2, - double a0, double a1, double a2) -{ - double a0_inv = 1 / a0; - bq->b0 = b0 * a0_inv; - bq->b1 = b1 * a0_inv; - bq->b2 = b2 * a0_inv; - bq->a1 = a1 * a0_inv; - bq->a2 = a2 * a0_inv; -} - -static void biquad_lowpass(struct biquad *bq, double cutoff, double resonance) -{ - /* Limit cutoff to 0 to 1. */ - cutoff = max(0.0, min(cutoff, 1.0)); - - if (cutoff == 1 || cutoff == 0) { - /* When cutoff is 1, the z-transform is 1. - * When cutoff is zero, nothing gets through the filter, so set - * coefficients up correctly. - */ - set_coefficient(bq, cutoff, 0, 0, 1, 0, 0); - return; - } - - /* Compute biquad coefficients for lowpass filter */ - resonance = max(0.0, resonance); /* can't go negative */ - double g = pow(10.0, 0.05 * resonance); - double d = sqrt((4 - sqrt(16 - 16 / (g * g))) / 2); - - double theta = M_PI * cutoff; - double sn = 0.5 * d * sin(theta); - double beta = 0.5 * (1 - sn) / (1 + sn); - double gamma = (0.5 + beta) * cos(theta); - double alpha = 0.25 * (0.5 + beta - gamma); - - double b0 = 2 * alpha; - double b1 = 2 * 2 * alpha; - double b2 = 2 * alpha; - double a1 = 2 * -gamma; - double a2 = 2 * beta; - - set_coefficient(bq, b0, b1, b2, 1, a1, a2); -} - -static void biquad_highpass(struct biquad *bq, double cutoff, double resonance) -{ - /* Limit cutoff to 0 to 1. */ - cutoff = max(0.0, min(cutoff, 1.0)); - - if (cutoff == 1 || cutoff == 0) { - /* When cutoff is one, the z-transform is 0. */ - /* When cutoff is zero, we need to be careful because the above - * gives a quadratic divided by the same quadratic, with poles - * and zeros on the unit circle in the same place. When cutoff - * is zero, the z-transform is 1. - */ - set_coefficient(bq, 1 - cutoff, 0, 0, 1, 0, 0); - return; - } - - /* Compute biquad coefficients for highpass filter */ - resonance = max(0.0, resonance); /* can't go negative */ - double g = pow(10.0, 0.05 * resonance); - double d = sqrt((4 - sqrt(16 - 16 / (g * g))) / 2); - - double theta = M_PI * cutoff; - double sn = 0.5 * d * sin(theta); - double beta = 0.5 * (1 - sn) / (1 + sn); - double gamma = (0.5 + beta) * cos(theta); - double alpha = 0.25 * (0.5 + beta + gamma); - - double b0 = 2 * alpha; - double b1 = 2 * -2 * alpha; - double b2 = 2 * alpha; - double a1 = 2 * -gamma; - double a2 = 2 * beta; - - set_coefficient(bq, b0, b1, b2, 1, a1, a2); -} - -static void biquad_bandpass(struct biquad *bq, double frequency, double Q) -{ - /* No negative frequencies allowed. */ - frequency = max(0.0, frequency); - - /* Don't let Q go negative, which causes an unstable filter. */ - Q = max(0.0, Q); - - if (frequency <= 0 || frequency >= 1) { - /* When the cutoff is zero, the z-transform approaches 0, if Q - * > 0. When both Q and cutoff are zero, the z-transform is - * pretty much undefined. What should we do in this case? - * For now, just make the filter 0. When the cutoff is 1, the - * z-transform also approaches 0. - */ - set_coefficient(bq, 0, 0, 0, 1, 0, 0); - return; - } - if (Q <= 0) { - /* When Q = 0, the above formulas have problems. If we - * look at the z-transform, we can see that the limit - * as Q->0 is 1, so set the filter that way. - */ - set_coefficient(bq, 1, 0, 0, 1, 0, 0); - return; - } - - double w0 = M_PI * frequency; - double alpha = sin(w0) / (2 * Q); - double k = cos(w0); - - double b0 = alpha; - double b1 = 0; - double b2 = -alpha; - double a0 = 1 + alpha; - double a1 = -2 * k; - double a2 = 1 - alpha; - - set_coefficient(bq, b0, b1, b2, a0, a1, a2); -} - -static void biquad_lowshelf(struct biquad *bq, double frequency, double db_gain) -{ - /* Clip frequencies to between 0 and 1, inclusive. */ - frequency = max(0.0, min(frequency, 1.0)); - - double A = pow(10.0, db_gain / 40); - - if (frequency == 1) { - /* The z-transform is a constant gain. */ - set_coefficient(bq, A * A, 0, 0, 1, 0, 0); - return; - } - if (frequency <= 0) { - /* When frequency is 0, the z-transform is 1. */ - set_coefficient(bq, 1, 0, 0, 1, 0, 0); - return; - } - - double w0 = M_PI * frequency; - double S = 1; /* filter slope (1 is max value) */ - double alpha = 0.5 * sin(w0) * sqrt((A + 1 / A) * (1 / S - 1) + 2); - double k = cos(w0); - double k2 = 2 * sqrt(A) * alpha; - double a_plus_one = A + 1; - double a_minus_one = A - 1; - - double b0 = A * (a_plus_one - a_minus_one * k + k2); - double b1 = 2 * A * (a_minus_one - a_plus_one * k); - double b2 = A * (a_plus_one - a_minus_one * k - k2); - double a0 = a_plus_one + a_minus_one * k + k2; - double a1 = -2 * (a_minus_one + a_plus_one * k); - double a2 = a_plus_one + a_minus_one * k - k2; - - set_coefficient(bq, b0, b1, b2, a0, a1, a2); -} - -static void biquad_highshelf(struct biquad *bq, double frequency, - double db_gain) -{ - /* Clip frequencies to between 0 and 1, inclusive. */ - frequency = max(0.0, min(frequency, 1.0)); - - double A = pow(10.0, db_gain / 40); - - if (frequency == 1) { - /* The z-transform is 1. */ - set_coefficient(bq, 1, 0, 0, 1, 0, 0); - return; - } - if (frequency <= 0) { - /* When frequency = 0, the filter is just a gain, A^2. */ - set_coefficient(bq, A * A, 0, 0, 1, 0, 0); - return; - } - - double w0 = M_PI * frequency; - double S = 1; /* filter slope (1 is max value) */ - double alpha = 0.5 * sin(w0) * sqrt((A + 1 / A) * (1 / S - 1) + 2); - double k = cos(w0); - double k2 = 2 * sqrt(A) * alpha; - double a_plus_one = A + 1; - double a_minus_one = A - 1; - - double b0 = A * (a_plus_one + a_minus_one * k + k2); - double b1 = -2 * A * (a_minus_one + a_plus_one * k); - double b2 = A * (a_plus_one + a_minus_one * k - k2); - double a0 = a_plus_one - a_minus_one * k + k2; - double a1 = 2 * (a_minus_one - a_plus_one * k); - double a2 = a_plus_one - a_minus_one * k - k2; - - set_coefficient(bq, b0, b1, b2, a0, a1, a2); -} - -static void biquad_peaking(struct biquad *bq, double frequency, double Q, - double db_gain) -{ - /* Clip frequencies to between 0 and 1, inclusive. */ - frequency = max(0.0, min(frequency, 1.0)); - - /* Don't let Q go negative, which causes an unstable filter. */ - Q = max(0.0, Q); - - double A = pow(10.0, db_gain / 40); - - if (frequency <= 0 || frequency >= 1) { - /* When frequency is 0 or 1, the z-transform is 1. */ - set_coefficient(bq, 1, 0, 0, 1, 0, 0); - return; - } - if (Q <= 0) { - /* When Q = 0, the above formulas have problems. If we - * look at the z-transform, we can see that the limit - * as Q->0 is A^2, so set the filter that way. - */ - set_coefficient(bq, A * A, 0, 0, 1, 0, 0); - return; - } - - double w0 = M_PI * frequency; - double alpha = sin(w0) / (2 * Q); - double k = cos(w0); - - double b0 = 1 + alpha * A; - double b1 = -2 * k; - double b2 = 1 - alpha * A; - double a0 = 1 + alpha / A; - double a1 = -2 * k; - double a2 = 1 - alpha / A; - - set_coefficient(bq, b0, b1, b2, a0, a1, a2); -} - -static void biquad_notch(struct biquad *bq, double frequency, double Q) -{ - /* Clip frequencies to between 0 and 1, inclusive. */ - frequency = max(0.0, min(frequency, 1.0)); - - /* Don't let Q go negative, which causes an unstable filter. */ - Q = max(0.0, Q); - - if (frequency <= 0 || frequency >= 1) { - /* When frequency is 0 or 1, the z-transform is 1. */ - set_coefficient(bq, 1, 0, 0, 1, 0, 0); - return; - } - if (Q <= 0) { - /* When Q = 0, the above formulas have problems. If we - * look at the z-transform, we can see that the limit - * as Q->0 is 0, so set the filter that way. - */ - set_coefficient(bq, 0, 0, 0, 1, 0, 0); - return; - } - - double w0 = M_PI * frequency; - double alpha = sin(w0) / (2 * Q); - double k = cos(w0); - - double b0 = 1; - double b1 = -2 * k; - double b2 = 1; - double a0 = 1 + alpha; - double a1 = -2 * k; - double a2 = 1 - alpha; - - set_coefficient(bq, b0, b1, b2, a0, a1, a2); -} - -static void biquad_allpass(struct biquad *bq, double frequency, double Q) -{ - /* Clip frequencies to between 0 and 1, inclusive. */ - frequency = max(0.0, min(frequency, 1.0)); - - /* Don't let Q go negative, which causes an unstable filter. */ - Q = max(0.0, Q); - - if (frequency <= 0 || frequency >= 1) { - /* When frequency is 0 or 1, the z-transform is 1. */ - set_coefficient(bq, 1, 0, 0, 1, 0, 0); - return; - } - - if (Q <= 0) { - /* When Q = 0, the above formulas have problems. If we - * look at the z-transform, we can see that the limit - * as Q->0 is -1, so set the filter that way. - */ - set_coefficient(bq, -1, 0, 0, 1, 0, 0); - return; - } - - double w0 = M_PI * frequency; - double alpha = sin(w0) / (2 * Q); - double k = cos(w0); - - double b0 = 1 - alpha; - double b1 = -2 * k; - double b2 = 1 + alpha; - double a0 = 1 + alpha; - double a1 = -2 * k; - double a2 = 1 - alpha; - - set_coefficient(bq, b0, b1, b2, a0, a1, a2); -} - -void biquad_set(struct biquad *bq, enum biquad_type type, double freq, double Q, - double gain) -{ - /* Default is an identity filter. Also clear history values. */ - set_coefficient(bq, 1, 0, 0, 1, 0, 0); - bq->x1 = 0; - bq->x2 = 0; - bq->y1 = 0; - bq->y2 = 0; - - switch (type) { - case BQ_LOWPASS: - biquad_lowpass(bq, freq, Q); - break; - case BQ_HIGHPASS: - biquad_highpass(bq, freq, Q); - break; - case BQ_BANDPASS: - biquad_bandpass(bq, freq, Q); - break; - case BQ_LOWSHELF: - biquad_lowshelf(bq, freq, gain); - break; - case BQ_HIGHSHELF: - biquad_highshelf(bq, freq, gain); - break; - case BQ_PEAKING: - biquad_peaking(bq, freq, Q, gain); - break; - case BQ_NOTCH: - biquad_notch(bq, freq, Q); - break; - case BQ_ALLPASS: - biquad_allpass(bq, freq, Q); - break; - case BQ_NONE: - break; - } -} |