Tembro/template/calfbox/biquad-float.h

/*
Calf Box, an open source musical instrument.
Copyright (C) 2010 Krzysztof Foltman

This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.

This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.

You should have received a copy of the GNU General Public License
along with this program.  If not, see <http://www.gnu.org/licenses/>.
*/

#ifndef CBOX_BIQUAD_FLOAT_H
#define CBOX_BIQUAD_FLOAT_H

#include "config.h"
#include "dspmath.h"

struct cbox_biquadf_state
{
    float x1;
    float y1;
    float x2;
    float y2;
};

struct cbox_biquadf_coeffs
{
    float a0;
    float a1;
    float a2;
    float b1;
    float b2;
};

static inline void cbox_biquadf_reset(struct cbox_biquadf_state *state)
{
    state->x1 = state->y1 = state->x2 = state->y2 = 0.f;
}

static inline float cbox_biquadf_is_audible(struct cbox_biquadf_state *state, float level)
{
    return fabs(state->x1) + fabs(state->x2) + fabs(state->y1) + fabs(state->y2) >= level;
}

// Based on filter coefficient equations by Robert Bristow-Johnson
static inline void cbox_biquadf_set_lp_rbj(struct cbox_biquadf_coeffs *coeffs, float fc, float q, float sr)
{
    float omega=(float)(2*M_PI*fc/sr);
    float sn=sin(omega);
    float cs=cos(omega);
    float alpha=(float)(sn/(2*q));
    float inv=(float)(1.0/(1.0+alpha));

    coeffs->a2 = coeffs->a0 = (float)(inv*(1 - cs)*0.5f);
    coeffs->a1 = coeffs->a0 + coeffs->a0;
    coeffs->b1 =  (float)(-2*cs*inv);
    coeffs->b2 =  (float)((1 - alpha)*inv);
}

static inline void cbox_biquadf_set_lp_rbj_lookup(struct cbox_biquadf_coeffs *coeffs, const struct cbox_sincos *sincos, float q)
{
    float sn=sincos->sine;
    float cs=sincos->cosine;
    float alpha=(float)(sn/(2*q));
    float inv=(float)(1.0/(1.0+alpha));

    coeffs->a2 = coeffs->a0 = (float)(inv*(1 - cs)*0.5f);
    coeffs->a1 = coeffs->a0 + coeffs->a0;
    coeffs->b1 =  (float)(-2*cs*inv);
    coeffs->b2 =  (float)((1 - alpha)*inv);
}

// Based on filter coefficient equations by Robert Bristow-Johnson
static inline void cbox_biquadf_set_hp_rbj(struct cbox_biquadf_coeffs *coeffs, float fc, float q, float sr)
{
    float omega=(float)(2*M_PI*fc/sr);
    float sn=sin(omega);
    float cs=cos(omega);
    float alpha=(float)(sn/(2*q));
    float inv=(float)(1.0/(1.0+alpha));

    coeffs->a2 = coeffs->a0 = (float)(inv*(1 + cs)*0.5f);
    coeffs->a1 = -2 * coeffs->a0;
    coeffs->b1 =  (float)(-2*cs*inv);
    coeffs->b2 =  (float)((1 - alpha)*inv);
}

static inline void cbox_biquadf_set_hp_rbj_lookup(struct cbox_biquadf_coeffs *coeffs, const struct cbox_sincos *sincos, float q)
{
    float sn=sincos->sine;
    float cs=sincos->cosine;
    float alpha=(float)(sn/(2*q));
    float inv=(float)(1.0/(1.0+alpha));

    coeffs->a2 = coeffs->a0 = (float)(inv*(1 + cs)*0.5f);
    coeffs->a1 = -2 * coeffs->a0;
    coeffs->b1 =  (float)(-2*cs*inv);
    coeffs->b2 =  (float)((1 - alpha)*inv);
}

// Based on filter coefficient equations by Robert Bristow-Johnson
static inline void cbox_biquadf_set_bp_rbj(struct cbox_biquadf_coeffs *coeffs, float fc, float q, float sr)
{
    float omega=(float)(2*M_PI*fc/sr);
    float sn=sin(omega);
    float cs=cos(omega);
    float alpha=(float)(sn/(2*q));
    float inv=(float)(1.0/(1.0+alpha));

    coeffs->a0 = (float)(inv*alpha);
    coeffs->a1 = 0.f;
    coeffs->a2 = -coeffs->a0;
    coeffs->b1 =  (float)(-2*cs*inv);
    coeffs->b2 =  (float)((1 - alpha)*inv);
}

static inline void cbox_biquadf_set_bp_rbj_lookup(struct cbox_biquadf_coeffs *coeffs, const struct cbox_sincos *sincos, float q)
{
    float sn=sincos->sine;
    float cs=sincos->cosine;
    float alpha=(float)(sn/(2*q));
    float inv=(float)(1.0/(1.0+alpha));

    coeffs->a0 = (float)(inv*alpha);
    coeffs->a1 = 0.f;
    coeffs->a2 = -coeffs->a0;
    coeffs->b1 =  (float)(-2*cs*inv);
    coeffs->b2 =  (float)((1 - alpha)*inv);
}


// Based on filter coefficient equations by Robert Bristow-Johnson
static inline void cbox_biquadf_set_peakeq_rbj(struct cbox_biquadf_coeffs *coeffs, float freq, float q, float peak, float sr)
{
    float A = sqrt(peak);
    float w0 = freq * 2 * M_PI * (1.0 / sr);
    float alpha = sin(w0) / (2 * q);
    float ib0 = 1.0 / (1 + alpha/A);
    coeffs->a1 = coeffs->b1 = -2*cos(w0) * ib0;
    coeffs->a0 = ib0 * (1 + alpha*A);
    coeffs->a2 = ib0 * (1 - alpha*A);
    coeffs->b2 = ib0 * (1 - alpha/A);
}

static inline void cbox_biquadf_set_peakeq_rbj_scaled(struct cbox_biquadf_coeffs *coeffs, float freq, float q, float A, float sr)
{
    float w0 = freq * 2 * M_PI * (1.0 / sr);
    float alpha = sin(w0) / (2 * q);
    float ib0 = 1.0 / (1 + alpha/A);
    coeffs->a1 = coeffs->b1 = -2*cos(w0) * ib0;
    coeffs->a0 = ib0 * (1 + alpha*A);
    coeffs->a2 = ib0 * (1 - alpha*A);
    coeffs->b2 = ib0 * (1 - alpha/A);
}

// This is my math, and it's rather suspect
static inline void cbox_biquadf_set_1plp(struct cbox_biquadf_coeffs *coeffs, float freq, float sr)
{
    float w = hz2w(freq, sr);
    float x = tan (w * 0.5f);
    float q = 1 / (1 + x);
    float a01 = x*q;
    float b1 = a01 - q;
    
    coeffs->a0 = a01;
    coeffs->a1 = a01;
    coeffs->b1 = b1;
    coeffs->a2 = 0;
    coeffs->b2 = 0;
}

static inline void cbox_biquadf_set_1php(struct cbox_biquadf_coeffs *coeffs, float freq, float sr)
{
    float w = hz2w(freq, sr);
    float x = tan (w * 0.5f); 
    float q = 1 / (1 + x);
    float a01 = x*q;
    float b1 = a01 - q;
    
    coeffs->a0 = q;
    coeffs->a1 = -q;
    coeffs->b1 = b1;
    coeffs->a2 = 0;
    coeffs->b2 = 0;
}

static inline void cbox_biquadf_set_1p(struct cbox_biquadf_coeffs *coeffs, float a0, float a1, float b1, int two_copies)
{
    if (two_copies)
    {
        // (a0 + a1z) * (a0 + a1z) = a0^2 + 2*a0*a1*z + a1^2*z^2
        // (1 - b1z) * (1 - b1z) = 1 - 2b1*z + b1^2*z^2
        coeffs->a0 = a0*a0;
        coeffs->a1 = 2*a0*a1;
        coeffs->b1 = 2 * b1;
        coeffs->a2 = a1*a1;
        coeffs->b2 = b1*b1;
    }
    else
    {
        coeffs->a0 = a0;
        coeffs->a1 = a1;
        coeffs->b1 = b1;
        coeffs->a2 = 0;
        coeffs->b2 = 0;
    }
}

static inline void cbox_biquadf_set_1plp_lookup(struct cbox_biquadf_coeffs *coeffs, const struct cbox_sincos *sincos, int two_copies)
{
    float x = sincos->prewarp;
    float q = sincos->prewarp2;
    float a01 = x*q;
    float b1 = a01 - q;
    
    cbox_biquadf_set_1p(coeffs, a01, a01, b1, two_copies);    
}

static inline void cbox_biquadf_set_1php_lookup(struct cbox_biquadf_coeffs *coeffs, const struct cbox_sincos *sincos, int two_copies)
{
    float x = sincos->prewarp;
    float q = sincos->prewarp2;
    float a01 = x*q;
    float b1 = a01 - q;
    
    cbox_biquadf_set_1p(coeffs, q, -q, b1, two_copies);    
}

#if USE_NEON

#include <arm_neon.h>

static inline void cbox_biquadf_process(struct cbox_biquadf_state *state, struct cbox_biquadf_coeffs *coeffs, float *buffer)
{
    int i;
    float32x2_t c0 = {coeffs->a0, 0};
    float32x2_t c1 = {coeffs->a1, -coeffs->b1};
    float32x2_t c2 = {coeffs->a2, -coeffs->b2};
    float32x2_t s1 = {state->x1, state->y1};
    float32x2_t s2 = {state->x2, state->y2};
    
    for (i = 0; i < CBOX_BLOCK_SIZE; i ++)
    {
        float32x2_t in12 = {buffer[i], 0.f};
        
        float32x2_t out12 = vmla_f32(vmla_f32(vmul_f32(c1, s1), c2, s2), in12, c0); // [a1 * x1 + a2 * x2 + a0 * in, -b1 * y1 - b2 * y2 + 0]
        float32x2x2_t trn = vtrn_f32(out12, in12); // [[a1 * x1 + a2 * x2 + a0 * in, in12], [-b1 * y1 - b2 * y2, 0]]
        float32x2_t out120 = vadd_f32(trn.val[0], trn.val[1]);
        
        s2 = s1;
        s1 = vrev64_f32(out120);
        buffer[i] = out120[0];
    }
    state->x1 = s1[0];
    state->y1 = s1[1];
    state->x2 = s2[0];
    state->y2 = s2[1];
}

#else

static inline void cbox_biquadf_process(struct cbox_biquadf_state *state, struct cbox_biquadf_coeffs *coeffs, float *buffer)
{
    int i;
    float a0 = coeffs->a0;
    float a1 = coeffs->a1;
    float a2 = coeffs->a2;
    float b1 = coeffs->b1;
    float b2 = coeffs->b2;
    double y1 = state->y1;
    double y2 = state->y2;
    
    for (i = 0; i < CBOX_BLOCK_SIZE; i++)
    {
        float in = buffer[i];
        double out = a0 * in + a1 * state->x1 + a2 * state->x2 - b1 * y1 - b2 * y2;
        
        buffer[i] = out;
        state->x2 = state->x1;
        state->x1 = in;
        y2 = y1;
        y1 = out;
    }
    state->y2 = sanef(y2);
    state->y1 = sanef(y1);
}

#endif

static inline void cbox_biquadf_process_stereo(struct cbox_biquadf_state *lstate, struct cbox_biquadf_state *rstate, struct cbox_biquadf_coeffs *coeffs, float *buffer)
{
    int i;
    float a0 = coeffs->a0;
    float a1 = coeffs->a1;
    float a2 = coeffs->a2;
    float b1 = coeffs->b1;
    float b2 = coeffs->b2;
    double ly1 = lstate->y1;
    double ly2 = lstate->y2;
    double ry1 = rstate->y1;
    double ry2 = rstate->y2;
    
    for (i = 0; i < 2 * CBOX_BLOCK_SIZE; i += 2)
    {
        float inl = buffer[i], inr = buffer[i + 1];
        float outl = a0 * inl + a1 * lstate->x1 + a2 * lstate->x2 - b1 * ly1 - b2 * ly2;
        float outr = a0 * inr + a1 * rstate->x1 + a2 * rstate->x2 - b1 * ry1 - b2 * ry2;
        
        lstate->x2 = lstate->x1;
        lstate->x1 = inl;
        ly2 = ly1;
        ly1 = outl;
        buffer[i] = outl;

        rstate->x2 = rstate->x1;
        rstate->x1 = inr;
        ry2 = ry1;
        ry1 = outr;
        buffer[i + 1] = outr;
    }
    lstate->y2 = sanef(ly2);
    lstate->y1 = sanef(ly1);
    rstate->y2 = sanef(ry2);
    rstate->y1 = sanef(ry1);
}

static inline double cbox_biquadf_process_sample(struct cbox_biquadf_state *state, struct cbox_biquadf_coeffs *coeffs, double in)
{    
    double out = sanef(coeffs->a0 * sanef(in) + coeffs->a1 * state->x1 + coeffs->a2 * state->x2 - coeffs->b1 * state->y1 - coeffs->b2 * state->y2);
        
    state->x2 = state->x1;
    state->x1 = in;
    state->y2 = state->y1;
    state->y1 = out;
    
    return out;
}

static inline void cbox_biquadf_process_to(struct cbox_biquadf_state *state, struct cbox_biquadf_coeffs *coeffs, float *buffer_in, float *buffer_out)
{
    int i;
    float a0 = coeffs->a0;
    float a1 = coeffs->a1;
    float a2 = coeffs->a2;
    float b1 = coeffs->b1;
    float b2 = coeffs->b2;
    double y1 = state->y1;
    double y2 = state->y2;
    
    for (i = 0; i < CBOX_BLOCK_SIZE; i++)
    {
        float in = buffer_in[i];
        double out = a0 * in + a1 * state->x1 + a2 * state->x2 - b1 * y1 - b2 * y2;
        
        buffer_out[i] = out;
        state->x2 = state->x1;
        state->x1 = in;
        y2 = y1;
        y1 = out;
    }
    state->y2 = sanef(y2);
    state->y1 = sanef(y1);
}

static inline void cbox_biquadf_process_adding(struct cbox_biquadf_state *state, struct cbox_biquadf_coeffs *coeffs, float *buffer_in, float *buffer_out)
{
    int i;
    float a0 = coeffs->a0;
    float a1 = coeffs->a1;
    float a2 = coeffs->a2;
    float b1 = coeffs->b1;
    float b2 = coeffs->b2;
    double y1 = state->y1;
    double y2 = state->y2;
    
    for (i = 0; i < CBOX_BLOCK_SIZE; i++)
    {
        float in = buffer_in[i];
        double out = a0 * in + a1 * state->x1 + a2 * state->x2 - b1 * y1 - b2 * y2;
        
        buffer_out[i] += out;
        state->x2 = state->x1;
        state->x1 = in;
        y2 = y1;
        y1 = out;
    }
    state->y2 = sanef(y2);
    state->y1 = sanef(y1);
}

#endif