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#ifndef __LS_BIQUADFILTER_H__ |
#ifndef __LS_BIQUADFILTER_H__ |
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#define __LS_BIQUADFILTER_H__ |
#define __LS_BIQUADFILTER_H__ |
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#include <math.h> |
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/// ln(2) / 2 |
/// ln(2) / 2 |
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#define LN_2_2 0.34657359f |
#define LN_2_2 0.34657359f |
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typedef float bq_t; |
typedef float bq_t; |
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/** |
/** |
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* Bi-quadratic filter |
* Internal parameters of the biquad filter, which are actually the |
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* (adapted from lisp code by Eli Brandt, http://www.cs.cmu.edu/~eli/) |
* final parameters of the filter's transfer function. This strucure is |
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*/ |
* only needed when these parameters should stored outside the |
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* BiquadFilter class, e.g. to save calculation time by sharing them |
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* between multiple filters. |
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*/ |
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struct biquad_param_t { |
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bq_t a1; |
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bq_t a2; |
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bq_t b0; |
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bq_t b1; |
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bq_t b2; |
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}; |
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/** |
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* Bi-quadratic filter |
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* (adapted from lisp code by Eli Brandt, http://www.cs.cmu.edu/~eli/) |
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*/ |
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class BiquadFilter { |
class BiquadFilter { |
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protected: |
protected: |
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// following five variables are only used if no external biquad_param_t reference is used |
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bq_t a1; |
bq_t a1; |
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bq_t a2; |
bq_t a2; |
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bq_t b0; |
bq_t b0; |
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bq_t b1; |
bq_t b1; |
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bq_t b2; |
bq_t b2; |
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// following four variables are used to buffer the feedback |
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bq_t x1; |
bq_t x1; |
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bq_t x2; |
bq_t x2; |
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bq_t y1; |
bq_t y1; |
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bq_t y2; |
bq_t y2; |
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/** |
/** |
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* Prevent \a f from going into denormal mode which would slow down |
* Prevent \a f from going into denormal mode which would slow down |
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* subsequent floating point calculations, we achieve that by setting |
* subsequent floating point calculations, we achieve that by setting |
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* \a f to zero when it falls under the denormal threshold value. |
* \a f to zero when it falls under the denormal threshold value. |
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*/ |
*/ |
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inline void KillDenormal(float& f) { |
inline void KillDenormal(bq_t& f) { |
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// TODO: this is a generic solution for 32bit floats, should be replaced by CPU specific asm code |
// TODO: this is a generic solution for 32bit floats, should be replaced by CPU specific asm code |
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f += 1e-18f; |
f += 1e-18f; |
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f -= 1e-18f; |
f -= 1e-18f; |
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return y; |
return y; |
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} |
} |
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inline bq_t Apply(biquad_param_t* param, const bq_t x) { |
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bq_t y; |
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y = param->b0 * x + param->b1 * this->x1 + param->b2 * this->x2 + |
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param->a1 * this->y1 + param->a2 * this->y2; |
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KillDenormal(y); |
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this->x2 = this->x1; |
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this->x1 = x; |
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this->y2 = this->y1; |
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this->y1 = y; |
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return y; |
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} |
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inline bq_t ApplyFB(bq_t x, const bq_t fb) { |
inline bq_t ApplyFB(bq_t x, const bq_t fb) { |
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bq_t y; |
bq_t y; |
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return y; |
return y; |
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} |
} |
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inline bq_t ApplyFB(biquad_param_t* param, bq_t x, const bq_t fb) { |
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bq_t y; |
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x += this->y1 * fb * 0.98; |
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y = param->b0 * x + param->b1 * this->x1 + param->b2 * this->x2 + |
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param->a1 * this->y1 + param->a2 * this->y2; |
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KillDenormal(y); |
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this->x2 = this->x1; |
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this->x1 = x; |
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this->y2 = this->y1; |
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this->y1 = y; |
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return y; |
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} |
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}; |
}; |
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class LowpassFilter : public BiquadFilter { |
class LowpassFilter : public BiquadFilter { |
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this->a1 = a0r * (2.0 * cs); |
this->a1 = a0r * (2.0 * cs); |
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this->a2 = a0r * (alpha - 1.0); |
this->a2 = a0r * (alpha - 1.0); |
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} |
} |
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inline void SetParameters(biquad_param_t* param, bq_t fc, bq_t bw, bq_t fs) { |
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bq_t omega = 2.0 * M_PI * fc / fs; |
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bq_t sn = sin(omega); |
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bq_t cs = cos(omega); |
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bq_t alpha = sn * sinh(M_LN2 / 2.0 * bw * omega / sn); |
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const float a0r = 1.0 / (1.0 + alpha); |
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param->b0 = a0r * (1.0 - cs) * 0.5; |
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param->b1 = a0r * (1.0 - cs); |
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param->b2 = a0r * (1.0 - cs) * 0.5; |
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param->a1 = a0r * (2.0 * cs); |
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param->a2 = a0r * (alpha - 1.0); |
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} |
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}; |
}; |
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class BandpassFilter : public BiquadFilter { |
class BandpassFilter : public BiquadFilter { |
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this->a1 = a0r * (2.0 * cs); |
this->a1 = a0r * (2.0 * cs); |
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this->a2 = a0r * (alpha - 1.0); |
this->a2 = a0r * (alpha - 1.0); |
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} |
} |
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inline void SetParameters(biquad_param_t* param, bq_t fc, bq_t bw, bq_t fs) { |
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bq_t omega = 2.0 * M_PI * fc / fs; |
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bq_t sn = sin(omega); |
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bq_t cs = cos(omega); |
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bq_t alpha = sn * sinh(M_LN2 / 2.0 * bw * omega / sn); |
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const float a0r = 1.0 / (1.0 + alpha); |
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param->b0 = a0r * alpha; |
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param->b1 = 0.0; |
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param->b2 = a0r * -alpha; |
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param->a1 = a0r * (2.0 * cs); |
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param->a2 = a0r * (alpha - 1.0); |
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} |
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}; |
}; |
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class HighpassFilter : public BiquadFilter { |
class HighpassFilter : public BiquadFilter { |
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this->a1 = a0r * (2.0 * cs); |
this->a1 = a0r * (2.0 * cs); |
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this->a2 = a0r * (alpha - 1.0); |
this->a2 = a0r * (alpha - 1.0); |
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} |
} |
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inline void SetParameters(biquad_param_t* param, bq_t fc, bq_t bw, bq_t fs) { |
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bq_t omega = 2.0 * M_PI * fc / fs; |
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bq_t sn = sin(omega); |
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bq_t cs = cos(omega); |
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bq_t alpha = sn * sinh(M_LN2 / 2.0 * bw * omega / sn); |
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const float a0r = 1.0 / (1.0 + alpha); |
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param->b0 = a0r * (1.0 + cs) * 0.5; |
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param->b1 = a0r * -(1.0 + cs); |
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param->b2 = a0r * (1.0 + cs) * 0.5; |
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param->a1 = a0r * (2.0 * cs); |
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param->a2 = a0r * (alpha - 1.0); |
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} |
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}; |
}; |
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} // namespace LinuxSampler |
} // namespace LinuxSampler |