virtualx-engine/servers/audio/effects/eq.cpp

/*************************************************************************/
/*  eq.cpp                                                               */
/*************************************************************************/
/*                       This file is part of:                           */
/*                           GODOT ENGINE                                */
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// Author: reduzio@gmail.com (C) 2006

#include "eq.h"
#include <math.h>
#include "error_macros.h"
#include "math_funcs.h"

#define POW2(v) ((v)*(v))

/* Helper */
 static int solve_quadratic(double a,double b,double c,double *r1, double *r2) {
//solves quadractic and returns number of roots

	double base=2*a;
	if (base == 0.0f)
		return 0;

	double squared=b*b-4*a*c;
	if (squared<0.0)
		return 0;

	squared=sqrt(squared);

	*r1=(-b+squared)/base;
	*r2=(-b-squared)/base;

	if (*r1==*r2)
		return 1;
	else
		return 2;
 }

EQ::BandProcess::BandProcess() {

	c1=c2=c3=history.a1=history.a2=history.a3=0;
	history.b1=history.b2=history.b3=0;
}

void EQ::recalculate_band_coefficients() {

#define BAND_LOG( m_f ) ( log((m_f)) / log(2.) )

	for (int i=0;i<band.size();i++) {

		double octave_size;

		double frq=band[i].freq;

		if (i==0) {

			octave_size=BAND_LOG(band[1].freq)-BAND_LOG(frq);
		} else if (i==(band.size()-1)) {

			octave_size=BAND_LOG(frq)-BAND_LOG(band[i-1].freq);
		} else {

			double next=BAND_LOG(band[i+1].freq)-BAND_LOG(frq);
			double prev=BAND_LOG(frq)-BAND_LOG(band[i-1].freq);
			octave_size=(next+prev)/2.0;
		}



		double frq_l=round(frq/pow(2.0,octave_size/2.0));



		double side_gain2=POW2(Math_SQRT12);
		double th=2.0*Math_PI*frq/mix_rate;
		double th_l=2.0*Math_PI*frq_l/mix_rate;

		double c2a=side_gain2 * POW2(cos(th))
					- 2.0 * side_gain2 * cos(th_l) * cos(th)
					+ side_gain2
					- POW2(sin(th_l));

		double c2b=2.0 * side_gain2 * POW2(cos(th_l))
					+ side_gain2 * POW2(cos(th))
					- 2.0 * side_gain2 * cos(th_l) * cos(th)
					- side_gain2
					+ POW2(sin(th_l));

		double c2c=0.25 * side_gain2 * POW2(cos(th))
					- 0.5 * side_gain2 * cos(th_l) * cos(th)
					+ 0.25 * side_gain2
					- 0.25 * POW2(sin(th_l));

		//printf("band %i, precoefs = %f,%f,%f\n",i,c2a,c2b,c2c);

		double r1,r2; //roots
		int roots=solve_quadratic(c2a,c2b,c2c,&r1,&r2);

		ERR_CONTINUE( roots==0 );

		band[i].c1=2.0 * ((0.5-r1)/2.0);
		band[i].c2=2.0 * r1;
		band[i].c3=2.0 * (0.5+r1) * cos(th);
		//printf("band %i, coefs = %f,%f,%f\n",i,(float)bands[i].c1,(float)bands[i].c2,(float)bands[i].c3);

	}
}

void EQ::set_preset_band_mode(Preset p_preset) {


	band.clear();

#define PUSH_BANDS(m_bands) \
	for (int i=0;i<m_bands;i++) { \
		Band b; \
		b.freq=bands[i];\
		band.push_back(b);\
	}

	switch (p_preset) {

		case PRESET_6_BANDS: {

			static const double bands[] = {  32 ,  100 ,  320 ,  1e3,  3200,  10e3 };
			PUSH_BANDS(6);

		} break;

		case PRESET_8_BANDS: {

			static const double bands[] = { 32,72,192,512,1200,3000,7500,16e3 };

			PUSH_BANDS(8);
		} break;

		case PRESET_10_BANDS: {
			static const double bands[] = { 31.25, 62.5,  125 ,  250 ,  500 ,  1e3,  2e3,  4e3,  8e3,  16e3 };

			PUSH_BANDS(10);

		} break;

		case PRESET_21_BANDS: {

			static const double bands[] = {  22 ,  32 ,  44 ,  63 ,  90 ,  125 ,  175 ,  250 ,  350 ,  500 ,  700 ,  1e3,  1400 ,  2e3,  2800 ,  4e3,  5600 ,  8e3,  11e3,  16e3,  22e3 };
			PUSH_BANDS(21);

		} break;

		case PRESET_31_BANDS: {

			static const double bands[] = {  20,   25,   31.5,  40 ,  50 ,  63 ,  80 ,  100 ,  125 ,  160 ,  200 ,  250 ,  315 ,  400 ,  500 ,  630 ,  800 , 1e3 ,  1250  ,  1600 ,  2e3,  2500 ,  3150 ,  4e3,  5e3,  6300 ,  8e3,  10e3,  12500 ,  16e3,  20e3 };
			PUSH_BANDS(31);
		} break;

	};

	recalculate_band_coefficients();
}

int EQ::get_band_count() const {

	return band.size();
}
float EQ::get_band_frequency(int p_band) {

	ERR_FAIL_INDEX_V(p_band,band.size(),0);
	return band[p_band].freq;
}
void EQ::set_bands(const Vector<float>& p_bands) {

	band.resize(p_bands.size());
	for (int i=0;i<p_bands.size();i++) {

		band[i].freq=p_bands[i];
	}

	recalculate_band_coefficients();

}

void EQ::set_mix_rate(float p_mix_rate) {

	mix_rate=p_mix_rate;
	recalculate_band_coefficients();
}

EQ::BandProcess EQ::get_band_processor(int p_band) const {


	EQ::BandProcess band_proc;

	ERR_FAIL_INDEX_V(p_band,band.size(),band_proc);

	band_proc.c1=band[p_band].c1;
	band_proc.c2=band[p_band].c2;
	band_proc.c3=band[p_band].c3;

	return band_proc;


}


EQ::EQ()
{
	mix_rate=44100;
}


EQ::~EQ()
{
}