Naming Conventions

• N indicates the particular overdrive object instance.

Interface Functions

• void xeffects_overdrive_N__initialize( void )
• int xeffects_overdrive_N__configure ( int parameter_id, int parameter_value )
• {int,int} xeffects_overdrive_N__process ( int sample_L, int sample_R )

Example Usage

The following example shows how to use a biquad filter function.

void audio_processing_thread( chan input, chan output )
{
    xeffects_overdrive_1__initialize();
    xeffects_overdrive_1__configure( XEFFECTS_OVERDRIVE_PARAM__MODEL,  2 );
    xeffects_overdrive_1__configure( XEFFECTS_OVERDRIVE_PARAM__GAIN,   Q28(5.0) );
    xeffects_overdrive_1__configure( XEFFECTS_OVERDRIVE_PARAM__BIAS,   2 );
    xeffects_overdrive_1__configure( XEFFECTS_OVERDRIVE_PARAM__BYPASS, 5 );
    xeffects_overdrive_1__configure( XEFFECTS_OVERDRIVE_PARAM__SLEW,   5 );
    while( TRUE )
    {
        int sample_L, sample_R;
        output <: sample_L; output <: sample_R;
        input  :> sample_L; input  :> sample_R;
        {sample_L,sample_R} = xeffects_overdrive_1__process( sample_L, sample_R );
    }
}

xeffects_overdrive.h

#ifndef XEFFECTS_OVERDRIVE_INCLUDED
#define XEFFECTS_OVERDRIVE_INCLUDED

#include <platform.h>
#include <xs1.h>
#include <print.h>
#include <stdio.h>
#include <xscope.h>

#define XEFFECTS_OVERDRIVE_PARAM__MODEL   0 // 1, 2, 3, 4, 5
#define XEFFECTS_OVERDRIVE_PARAM__GAIN    1 // Q28(0.0) ... Q28(+7.9)
#define XEFFECTS_OVERDRIVE_PARAM__BIAS    2 // 0=cold, 1=cool, 2=neutral, 3=warm, 4=hot
#define XEFFECTS_OVERDRIVE_PARAM__BYPASS  3 // 0,1,2,3,4,5,6,7,8,9
#define XEFFECTS_OVERDRIVE_PARAM__SLEW    4 // 0,1,2,3,4,5,6,7,8,9

#define XEFFECTS_OVERDRIVE_INTERFACE( N ) \
\
void      xeffects_overdrive_##N##__initialize( void ); \
int       xeffects_overdrive_##N##__configure ( int param_id, int param_val ); \
{int,int} xeffects_overdrive_##N##__process   ( int sample_L, int sample_R );

XEFFECTS_OVERDRIVE_INTERFACE( 1 )
XEFFECTS_OVERDRIVE_INTERFACE( 2 )
XEFFECTS_OVERDRIVE_INTERFACE( 3 )

#endif

xeffects_overdrive.xc

#include "xeffects-overdrive.h"

#include "xsignalproc-types.h"
#include "xsignalproc-math.h"
#include "xsignalproc-fir.h"
#include "xsignalproc-iir.h"
#include "xsignalproc-biquad.h"

int xmin(int x, int y) {if(x<=y) return x; return y;}
int xmax(int x, int y) {if(x>=y) return x; return y;}

typedef struct
{
    int param_model;
    int param_gain;
    int param_bias;
    int param_bypass;
    int param_slew;
    int bypass_hist[5];
    int dcblock_prevsamp;
    int dcblock_prevresult;
    int antialias_hist[14];
    int slewlimit_previous;
}
overdrive_state_t;

void      _xeffects_overdrive__initialize( overdrive_state_t& state );
int       _xeffects_overdrive__configure ( overdrive_state_t& state, int id, int val );
{int,int} _xeffects_overdrive__process   ( overdrive_state_t& state, int sample_L, int sample_R );

int overdrive_emphasis ( overdrive_state_t& state, int sample_q25, int frequency );
int overdrive_bypass   ( overdrive_state_t& state, int sample_q25, int frequency );
int overdrive_dcblock  ( overdrive_state_t& state, int sample_q25 );
int overdrive_antialias( overdrive_state_t& state, int sample_q25 );
int overdrive_slewlimit( overdrive_state_t& state, int sample_q25, int limit_idx );

int overdrive_waveshape( int sample_q28, int gain_q25, int model_idx );

#define XEFFECTS_OVERDRIVE_IMPLEMENTATION_TEMPLATE( N ) \
\
static overdrive_state_t _xeffects_overdrive_##N##__state = {0,0,0,0,0,{0,0,0,0,0},0,0,{0,0,0,0,0,0,0,0,0,0,0,0,0,0},0}; \
\
void xeffects_overdrive_##N##__initialize( void ) \
{ \
    _xeffects_overdrive__initialize( _xeffects_overdrive_##N##__state ); \
} \
\
int xeffects_overdrive_##N##__configure( int param_id, int param_val ) \
{ \
    return _xeffects_overdrive__configure( _xeffects_overdrive_##N##__state, param_id, param_val ); \
} \
\
{int,int} xeffects_overdrive_##N##__process( int sample_L, int sample_R ) \
{ \
    int L,R; \
    {L,R} = _xeffects_overdrive__process( _xeffects_overdrive_##N##__state, sample_L, sample_R ); \
    return {L,R}; \
}

XEFFECTS_OVERDRIVE_IMPLEMENTATION_TEMPLATE( 1 )
XEFFECTS_OVERDRIVE_IMPLEMENTATION_TEMPLATE( 2 )
XEFFECTS_OVERDRIVE_IMPLEMENTATION_TEMPLATE( 3 )

void _xeffects_overdrive__initialize( overdrive_state_t& state )
{
}

int _xeffects_overdrive__configure( overdrive_state_t& state, int id, int val )
{
    switch( id )
    {
        case XEFFECTS_OVERDRIVE_PARAM__MODEL:  return state.param_model  = xmax(0,xmin(val,4));
        case XEFFECTS_OVERDRIVE_PARAM__GAIN:   return state.param_gain   = xmax(Q28(0.0),xmin(val,Q28(7.9)));
        case XEFFECTS_OVERDRIVE_PARAM__BIAS:   return state.param_bias   = xmax(0,xmin(val,4));
        case XEFFECTS_OVERDRIVE_PARAM__BYPASS: return state.param_bypass = xmax(0,xmin(val,4));
        case XEFFECTS_OVERDRIVE_PARAM__SLEW:   return state.param_slew   = xmax(0,xmin(val,4));
    }
    return 0;
}

{int,int} _xeffects_overdrive__process( overdrive_state_t& state, int sample_L, int sample_R )
{
    //sample_L = overdrive_emphasis ( state, sample_L, state.param_emphasis );
    sample_L = overdrive_bypass   ( state, sample_L, state.param_bypass );

    sample_L = overdrive_waveshape( sample_L, state.param_gain, state.param_model );

    sample_L = overdrive_dcblock  ( state, sample_L );
    sample_L = overdrive_antialias( state, sample_L );
    sample_L = overdrive_slewlimit( state, sample_L, state.param_slew );

    return {sample_L, sample_R};
}

/*
#pragma unsafe arrays
int overdrive_emphasis( overdrive_state_t& state, int sample_q25, int frequency )
{
    static const int coefficients[13][5] =
    {
        // BiQuad Fs=192000 Fc=... Type="highshelf" Gain=5.9 Q=1.000 ---> b0,...b2,a1,...a2
        {Q28(+1.956910867930),Q28(-3.837407859541),Q28(+1.881960602319),Q28(+1.945169341808),Q28(-0.946632952517)}, // Fc=1000
        {Q28(+1.951775372672),Q28(-3.801965859335),Q28(+1.852767880163),Q28(+1.926926024388),Q28(-0.929503417889)}, // Fc=1333
        {Q28(+1.946640346900),Q28(-3.766588512035),Q28(+1.823942940357),Q28(+1.908640646845),Q28(-0.912635422066)}, // Fc=1667
        {Q28(+1.941537003366),Q28(-3.731489242371),Q28(+1.795651402757),Q28(+1.890425503567),Q28(-0.896124667319)}, // Fc=2000
        {Q28(+1.936450376429),Q28(-3.696563288281),Q28(+1.767799405171),Q28(+1.872228483395),Q28(-0.879914976713)}, // Fc=2333
        {Q28(+1.931365672263),Q28(-3.661707812443),Q28(+1.740298455407),Q28(+1.853997559366),Q28(-0.863953874593)}, // Fc=2667
        {Q28(+1.926313715151),Q28(-3.627132639870),Q28(+1.713306502962),Q28(+1.835844300042),Q28(-0.848331878285)}, // Fc=3000
        {Q28(+1.921279604978),Q28(-3.592734113876),Q28(+1.686733941248),Q28(+1.817716361976),Q28(-0.832995794327)}, // Fc=3333
        {Q28(+1.916248630614),Q28(-3.558410564343),Q28(+1.660496294494),Q28(+1.799561587241),Q28(-0.817895948006)}, // Fc=3667
        {Q28(+1.911251218168),Q28(-3.524368221548),Q28(+1.634744214343),Q28(+1.781490732884),Q28(-0.803117943847)}, // Fc=4000
        {Q28(+1.906272553908),Q28(-3.490504628673),Q28(+1.609392174448),Q28(+1.763451332465),Q28(-0.788611432148)}, // Fc=4333
        {Q28(+1.901298027115),Q28(-3.456719360002),Q28(+1.584359548236),Q28(+1.745391192108),Q28(-0.774329407457)}, // Fc=4667
        {Q28(+1.896357658997),Q28(-3.423215070573),Q28(+1.559790043200),Q28(+1.727420186511),Q28(-0.760352818135)}, // Fc=5000
    };
    static const int coefficientsHC[5] =
    {
        Q28(+0.442622962250),Q28(-0.633440773011),Q28(+0.248020063639),Q28(+1.634372937881),Q28(-0.691575190758)
    };
        sample_q25 = xsignalproc_biquad_n01_r25x25c28( sample_q25, coefficients[frequency], state.emphasis_hist1 );
        sample_q25 = xsignalproc_biquad_n01_r25x25c28( sample_q25, coefficientsHC, state.emphasis_hist2 );
    return sample_q25;
}
*/

#pragma unsafe arrays
int overdrive_bypass( overdrive_state_t& state, int sample_q25, int frequency )
{
    static const int coefficients[18][5] =
    {
        // BiQuad Fs=192000 Fc=... Type="lowshelf" Gain=-9.0 Q=0.707 ---> b0,...b2,a1,...a2
        {Q28(+0.994157021388),Q28(-1.971132675927),Q28(+0.977076251905),Q28(+1.971041213660),Q28(-0.971324735559)}, // Fc=400
        {Q28(+0.994447331244),Q28(-1.972565345851),Q28(+0.978208869239),Q28(+1.972482741595),Q28(-0.972738804738)}, // Fc=380
        {Q28(+0.994737833654),Q28(-1.973999134398),Q28(+0.979342902268),Q28(+1.973924942990),Q28(-0.974154927330)}, // Fc=360
        {Q28(+0.995028528790),Q28(-1.975434042780),Q28(+0.980478353098),Q28(+1.975367818085),Q28(-0.975573106584)}, // Fc=340
        {Q28(+0.995319416825),Q28(-1.976870072210),Q28(+0.981615223841),Q28(+1.976811367122),Q28(-0.976993345754)}, // Fc=320
        {Q28(+0.995610497929),Q28(-1.978307223902),Q28(+0.982753516610),Q28(+1.978255590340),Q28(-0.978415648102)}, // Fc=300
        {Q28(+0.995901772275),Q28(-1.979745499071),Q28(+0.983893233524),Q28(+1.979700487977),Q28(-0.979840016893)}, // Fc=280
        {Q28(+0.996193240035),Q28(-1.981184898934),Q28(+0.985034376702),Q28(+1.981146060272),Q28(-0.981266455400)}, // Fc=260
        {Q28(+0.996484901381),Q28(-1.982625424709),Q28(+0.986176948272),Q28(+1.982592307461),Q28(-0.982694966901)}, // Fc=240
        {Q28(+0.996776756486),Q28(-1.984067077614),Q28(+0.987320950360),Q28(+1.984039229778),Q28(-0.984125554681)}, // Fc=220
        {Q28(+0.997068805521),Q28(-1.985509858869),Q28(+0.988466385099),Q28(+1.985486827458),Q28(-0.985558222030)}, // Fc=200
        {Q28(+0.997361048658),Q28(-1.986953769697),Q28(+0.989613254625),Q28(+1.986935100735),Q28(-0.986992972245)}, // Fc=180
        {Q28(+0.997653486072),Q28(-1.988398811319),Q28(+0.990761561078),Q28(+1.988384049841),Q28(-0.988429808628)}, // Fc=160
        {Q28(+0.997946117933),Q28(-1.989844984959),Q28(+0.991911306600),Q28(+1.989833675006),Q28(-0.989868734486)}, // Fc=140
        {Q28(+0.998238944414),Q28(-1.991292291843),Q28(+0.993062493339),Q28(+1.991283976460),Q28(-0.991309753135)}, // Fc=120
        {Q28(+0.998531965688),Q28(-1.992740733196),Q28(+0.994215123444),Q28(+1.992734954433),Q28(-0.992752867896)}, // Fc=100
        {Q28(+0.998825181928),Q28(-1.994190310246),Q28(+0.995369199071),Q28(+1.994186609151),Q28(-0.994198082093)}, // Fc=80
        {Q28(+0.999118593306),Q28(-1.995641024220),Q28(+0.996524722377),Q28(+1.995638940842),Q28(-0.995645399061)}, // Fc=60
    };
        return xsignalproc_biquad_n01_r25x25c28( sample_q25, coefficients[frequency], state.bypass_hist );
}

int overdrive_dcblock( overdrive_state_t& state, int sample_q25 )
{
    {   // Differentiator: y[n] = x[n] - x[n-1]
        int temp = sample_q25;
        sample_q25 = sample_q25 - state.dcblock_prevsamp;
        state.dcblock_prevsamp = temp;
    }
    {   // Leaky Integrator: y[n] = pole * y[n-1] + x[n]
        int temp = sample_q25;
        sample_q25 = xsignalproc_mult_r25x25y31(state.dcblock_prevresult,Q31(0.998)) + sample_q25;
        state.dcblock_prevresult = sample_q25;
    }
    return sample_q25;
}

#pragma unsafe arrays
int overdrive_antialias( overdrive_state_t& state, int sample_q25 )
{
    //FIR Fs=192000 Fc=10000 Type="lowpass" Order="10" Window="nuttall" ---> b0,...b10
    static int coefficients[] =
    {
        Q31(+0.000063008965),Q31(+0.002800992631),Q31(+0.026655281619),Q31(+0.104794330580),
        Q31(+0.223294720691),Q31(+0.284783331029),Q31(+0.223294720691),Q31(+0.104794330580),
        Q31(+0.026655281619),Q31(+0.002800992631),Q31(+0.000063008965)
    };
        return xsignalproc_fir_n10_r25x25c31( sample_q25, coefficients, state.antialias_hist );
}

#pragma unsafe arrays
int overdrive_slewlimit( overdrive_state_t& state, int sample_q25, int limit_idx )
{
    static int limits_q25[10] = {Q25(0.50),Q25(0.45),Q25(0.40),Q25(0.35),Q25(0.30),Q25(0.25),Q25(0.20),Q25(0.15),Q25(0.10),Q25(0.05)};
    int limit_q25 = limits_q25[limit_idx];
    int difference_q25 = sample_q25 - state.slewlimit_previous;
    if( difference_q25 >= +limit_q25 ) sample_q25 = state.slewlimit_previous + limit_q25;
    if( difference_q25 <= -limit_q25 ) sample_q25 = state.slewlimit_previous - limit_q25;
    return state.slewlimit_previous = sample_q25;
}

int overdrive_tanh_r28x28( int x_q28 );
int overdrive_expn_r28x28( int x_q28 );

int overdrive_scale_up( int sample_q28, int gain_q28 )
{
    while( gain_q28 >= Q28(2.0) )
    {
        if( sample_q28 >= Q28(+4.0) ) sample_q28 = Q28(+7.9999999);
        else sample_q28 *= 2;
        gain_q28 /= 2;
    }
    return sample_q28;
}

int overdrive_scale_dn( int sample_q28, int gain_q28 )
{
    while( gain_q28 >= Q28(2.0) ) {sample_q28 /= 2; gain_q28 /= 2;}
    return sample_q28;
}

#pragma unsafe arrays
int overdrive_waveshape( int sample_q25, int gain_q28, int transfer_idx )
{
    // sample: min > -8.0, max < +8.0, range = 2.0
    // result: min > -8.0, max < +8.0, range = 2.0

    static int lut_pshape_q28[9]  = {Q28(4.0), Q28(4.0), Q28(4.0),
                                     Q28(4.0), Q28(4.0), Q28(4.0),
                                     Q28(4.0), Q28(4.0), Q28(4.0)};

    static int lut_pshapei_q28[9] = {Q28(1/4.0), Q28(1/4.0), Q28(1/4.0),
                                     Q28(1/4.0), Q28(1/4.0), Q28(1/4.0),
                                     Q28(1/4.0), Q28(1/4.0), Q28(1/4.0)};

    static int lut_nshape_q28[9]  = {Q28(4.0), Q28(4.0), Q28(4.0),
                                     Q28(4.0), Q28(4.0), Q28(4.0),
                                     Q28(4.0), Q28(4.0), Q28(4.0)};

    static int lut_nshapei_q28[9] = {Q28(1/4.0), Q28(1/4.0), Q28(1/4.0),
                                     Q28(1/4.0), Q28(1/4.0), Q28(1/4.0),
                                     Q28(1/4.0), Q28(1/4.0), Q28(1/4.0)};

    static int lut_linearity_q28[9] = {Q28(0.00), Q28(0.13), Q28(0.27),
                                       Q28(0.40), Q28(0.50), Q28(0.63),
                                       Q28(0.73), Q28(0.82), Q28(0.88)};

    int pshape_q28    = lut_pshape_q28   [transfer_idx];
    int pshapei_q28   = lut_pshapei_q28  [transfer_idx];
    int nshape_q28    = lut_nshape_q28   [transfer_idx];
    int nshapei_q28   = lut_nshapei_q28  [transfer_idx];
    int linearity_q28 = lut_linearity_q28[transfer_idx];
    int sample_q28;

    // --- Apply linear signal gain
    //
    // input:  min > -8.0, max < +8.0, range < 2.0
    // output: min > -8.0, max < +8.0, range < 16.0

    sample_q25 = xsignalproc_mult_r25x25y28( sample_q25, Q28(2.9999999) );
    if( sample_q25 >= Q25(+8.0) ) sample_q25 = Q25(+7.9999999 );
    if( sample_q25 <= Q25(-8.0) ) sample_q25 = Q25(-7.9999999 );
    sample_q25 = xsignalproc_mult_r25x25y28( sample_q25, Q28(1.9999999) );
    if( sample_q25 >= Q25(+8.0) ) sample_q25 = Q25(+7.9999999 );
    if( sample_q25 <= Q25(-8.0) ) sample_q25 = Q25(-7.9999999 );
    sample_q28 = xsignalproc_mult_r28x25y31( sample_q25, Q31(0.9999999) );

    // --- Apply non-linear gain curve (positive expansion, negative compression)
    //
    // curve = 1.0 * (8.0 ** (sample / 2.0)) - 1.0
    // sample = curve * linearity + (1.0 - linearity) * sample
    //
    // input:  min > -8.0, max < +8.0, range = 16.0
    // output: min > -8.0, max < +8.0, range < 16.0

    if( TRUE )
    {
        int curve_q28 = overdrive_expn_r28x28( sample_q28 / 2 ) - Q28(1.0);
        sample_q28 = xsignalproc_mult_r28x28y28( sample_q28, Q28(1.0) - linearity_q28 );
        curve_q28  = xsignalproc_mult_r28x28y28( curve_q28, linearity_q28 );
        sample_q28 = sample_q28 + curve_q28;
    }

    // --- Soft signal compression/limiting via tanh
    //
    // input:  min > -8.0, max <= 0.0, range < 8.0
    // output: min > -1.0, max < +1.0, range < 1.0
    //
    // input <= thresh: output = input
    // input > thresh:  output = thresh + (tanh(shape * (input - thresh)) / shape)
    // ... shape = 64.0, 32.0, 16.0, 8.0, 4.0
    // ... thresh = 1.0 - 1.0 / shape

    if( sample_q28 > 0.0 )
    {
        int thresh_q28 = Q28( +1.0 ) - pshapei_q28;
        if( sample_q28 >= thresh_q28 )
        {
            sample_q28 -= thresh_q28;
            sample_q28 = overdrive_scale_up( sample_q28, pshape_q28 );
            sample_q28 = overdrive_tanh_r28x28( sample_q28 );
            sample_q28 = overdrive_scale_dn( sample_q28, pshape_q28 );
            sample_q28 += thresh_q28;
        }
    }
    else if( sample_q28 < 0.0 )
    {
        int thresh_q28 = Q28( +1.0 ) - nshapei_q28;
        sample_q28 = -sample_q28;
        if( sample_q28 >= thresh_q28 )
        {
            sample_q28 -= thresh_q28;
            sample_q28 = overdrive_scale_up( sample_q28, nshape_q28 );
            sample_q28 = overdrive_tanh_r28x28( sample_q28 );
            sample_q28 = overdrive_scale_dn( sample_q28, nshape_q28 );
            sample_q28 += thresh_q28;
        }
        sample_q28 = -sample_q28;
    }
    return xsignalproc_mult_r25x28y31( sample_q28, Q31(0.99999999) );
}

#pragma unsafe arrays
int overdrive_expn_r28x28( int x_q28 ) // -8.0 < x < 8.0, -1.0 < y < 8.0
{
    static int lut[4096] = // -4.93 <= x <= 1.06, -0.99996 < y < 8.23
    {
        Q28(-0.999964700678),Q28(-0.999964592990),Q28(-0.999964484974),Q28(-0.999964376628),Q28(-0.999964267952),Q28(-0.999964158944),Q28(-0.999964049604),Q28(-0.999963939930),
        Q28(-0.999963829922),Q28(-0.999963719578),Q28(-0.999963608897),Q28(-0.999963497878),Q28(-0.999963386521),Q28(-0.999963274825),Q28(-0.999963162787),Q28(-0.999963050408),
        Q28(-0.999962937686),Q28(-0.999962824620),Q28(-0.999962711209),Q28(-0.999962597452),Q28(-0.999962483348),Q28(-0.999962368896),Q28(-0.999962254094),Q28(-0.999962138943),
        Q28(-0.999962023440),Q28(-0.999961907585),Q28(-0.999961791376),Q28(-0.999961674813),Q28(-0.999961557895),Q28(-0.999961440619),Q28(-0.999961322986),Q28(-0.999961204994),
        Q28(-0.999961086642),Q28(-0.999960967929),Q28(-0.999960848854),Q28(-0.999960729416),Q28(-0.999960609613),Q28(-0.999960489444),Q28(-0.999960368910),Q28(-0.999960248007),
        Q28(-0.999960126736),Q28(-0.999960005094),Q28(-0.999959883082),Q28(-0.999959760697),Q28(-0.999959637939),Q28(-0.999959514806),Q28(-0.999959391298),Q28(-0.999959267413),
        Q28(-0.999959143150),Q28(-0.999959018508),Q28(-0.999958893486),Q28(-0.999958768082),Q28(-0.999958642296),Q28(-0.999958516126),Q28(-0.999958389571),Q28(-0.999958262630),
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        Q28(00.562215792429),Q28(00.566981645539),Q28(00.571762037842),Q28(00.576557013692),Q28(00.581366617579),Q28(00.586190894129),Q28(00.591029888103),Q28(00.595883644401),
        Q28(00.600752208057),Q28(00.605635624245),Q28(00.610533938275),Q28(00.615447195596),Q28(00.620375441796),Q28(00.625318722600),Q28(00.630277083876),Q28(00.635250571629),
        Q28(00.640239232005),Q28(00.645243111292),Q28(00.650262255918),Q28(00.655296712453),Q28(00.660346527610),Q28(00.665411748241),Q28(00.670492421346),Q28(00.675588594065),
        Q28(00.680700313682),Q28(00.685827627627),Q28(00.690970583473),Q28(00.696129228940),Q28(00.701303611890),Q28(00.706493780335),Q28(00.711699782432),Q28(00.716921666484),
        Q28(00.722159480942),Q28(00.727413274406),Q28(00.732683095622),Q28(00.737968993486),Q28(00.743271017043),Q28(00.748589215489),Q28(00.753923638167),Q28(00.759274334573),
        Q28(00.764641354354),Q28(00.770024747307),Q28(00.775424563381),Q28(00.780840852679),Q28(00.786273665455),Q28(00.791723052119),Q28(00.797189063231),Q28(00.802671749508),
        Q28(00.808171161821),Q28(00.813687351196),Q28(00.819220368815),Q28(00.824770266015),Q28(00.830337094292),Q28(00.835920905297),Q28(00.841521750840),Q28(00.847139682886),
        Q28(00.852774753563),Q28(00.858427015155),Q28(00.864096520107),Q28(00.869783321022),Q28(00.875487470666),Q28(00.881209021965),Q28(00.886948028005),Q28(00.892704542036),
        Q28(00.898478617469),Q28(00.904270307880),Q28(00.910079667005),Q28(00.915906748748),Q28(00.921751607174),Q28(00.927614296515),Q28(00.933494871167),Q28(00.939393385694),
        Q28(00.945309894825),Q28(00.951244453455),Q28(00.957197116648),Q28(00.963167939636),Q28(00.969156977819),Q28(00.975164286767),Q28(00.981189922217),Q28(00.987233940079),
        Q28(00.993296396431),Q28(00.999377347524),Q28(01.005476849780),Q28(01.011594959793),Q28(01.017731734330),Q28(01.023887230331),Q28(01.030061504908),Q28(01.036254615351),
        Q28(01.042466619121),Q28(01.048697573856),Q28(01.054947537371),Q28(01.061216567655),Q28(01.067504722875),Q28(01.073812061376),Q28(01.080138641680),Q28(01.086484522488),
        Q28(01.092849762680),Q28(01.099234421317),Q28(01.105638557637),Q28(01.112062231062),Q28(01.118505501192),Q28(01.124968427813),Q28(01.131451070890),Q28(01.137953490572),
        Q28(01.144475747191),Q28(01.151017901264),Q28(01.157580013493),Q28(01.164162144763),Q28(01.170764356147),Q28(01.177386708903),Q28(01.184029264477),Q28(01.190692084501),
        Q28(01.197375230796),Q28(01.204078765371),Q28(01.210802750425),Q28(01.217547248346),Q28(01.224312321713),Q28(01.231098033296),Q28(01.237904446054),Q28(01.244731623143),
        Q28(01.251579627906),Q28(01.258448523884),Q28(01.265338374809),Q28(01.272249244608),Q28(01.279181197404),Q28(01.286134297514),Q28(01.293108609453),Q28(01.300104197932),
        Q28(01.307121127859),Q28(01.314159464340),Q28(01.321219272680),Q28(01.328300618385),Q28(01.335403567156),Q28(01.342528184900),Q28(01.349674537722),Q28(01.356842691928),
        Q28(01.364032714029),Q28(01.371244670737),Q28(01.378478628968),Q28(01.385734655841),Q28(01.393012818682),Q28(01.400313185021),Q28(01.407635822594),Q28(01.414980799344),
        Q28(01.422348183421),Q28(01.429738043183),Q28(01.437150447197),Q28(01.444585464239),Q28(01.452043163294),Q28(01.459523613557),Q28(01.467026884438),Q28(01.474553045553),
        Q28(01.482102166735),Q28(01.489674318027),Q28(01.497269569688),Q28(01.504887992190),Q28(01.512529656221),Q28(01.520194632682),Q28(01.527882992695),Q28(01.535594807594),
        Q28(01.543330148933),Q28(01.551089088485),Q28(01.558871698241),Q28(01.566678050412),Q28(01.574508217428),Q28(01.582362271942),Q28(01.590240286827),Q28(01.598142335178),
        Q28(01.606068490316),Q28(01.614018825782),Q28(01.621993415344),Q28(01.629992332993),Q28(01.638015652948),Q28(01.646063449651),Q28(01.654135797776),Q28(01.662232772220),
        Q28(01.670354448111),Q28(01.678500900806),Q28(01.686672205891),Q28(01.694868439185),Q28(01.703089676734),Q28(01.711335994820),Q28(01.719607469956),Q28(01.727904178889),
        Q28(01.736226198599),Q28(01.744573606302),Q28(01.752946479449),Q28(01.761344895727),Q28(01.769768933062),Q28(01.778218669615),Q28(01.786694183787),Q28(01.795195554217),
        Q28(01.803722859786),Q28(01.812276179613),Q28(01.820855593061),Q28(01.829461179733),Q28(01.838093019476),Q28(01.846751192380),Q28(01.855435778780),Q28(01.864146859255),
        Q28(01.872884514632),Q28(01.881648825981),Q28(01.890439874623),Q28(01.899257742125),Q28(01.908102510303),Q28(01.916974261223),Q28(01.925873077202),Q28(01.934799040806),
        Q28(01.943752234856),Q28(01.952732742423),Q28(01.961740646832),Q28(01.970776031663),Q28(01.979838980751),Q28(01.988929578185),Q28(01.998047908314),Q28(02.007194055740),
        Q28(02.016368105326),Q28(02.025570142193),Q28(02.034800251723),Q28(02.044058519556),Q28(02.053345031595),Q28(02.062659874004),Q28(02.072003133212),Q28(02.081374895908),
        Q28(02.090775249050),Q28(02.100204279857),Q28(02.109662075817),Q28(02.119148724683),Q28(02.128664314478),Q28(02.138208933490),Q28(02.147782670281),Q28(02.157385613679),
        Q28(02.167017852785),Q28(02.176679476971),Q28(02.186370575883),Q28(02.196091239439),Q28(02.205841557832),Q28(02.215621621530),Q28(02.225431521277),Q28(02.235271348094),
        Q28(02.245141193279),Q28(02.255041148410),Q28(02.264971305342),Q28(02.274931756214),Q28(02.284922593441),Q28(02.294943909725),Q28(02.304995798047),Q28(02.315078351674),
        Q28(02.325191664157),Q28(02.335335829330),Q28(02.345510941318),Q28(02.355717094528),Q28(02.365954383660),Q28(02.376222903698),Q28(02.386522749920),Q28(02.396854017891),
        Q28(02.407216803471),Q28(02.417611202811),Q28(02.428037312353),Q28(02.438495228837),Q28(02.448985049297),Q28(02.459506871061),Q28(02.470060791756),Q28(02.480646909306),
        Q28(02.491265321935),Q28(02.501916128164),Q28(02.512599426818),Q28(02.523315317020),Q28(02.534063898198),Q28(02.544845270083),Q28(02.555659532708),Q28(02.566506786413),
        Q28(02.577387131845),Q28(02.588300669957),Q28(02.599247502009),Q28(02.610227729572),Q28(02.621241454524),Q28(02.632288779057),Q28(02.643369805673),Q28(02.654484637187),
        Q28(02.665633376727),Q28(02.676816127736),Q28(02.688032993974),Q28(02.699284079516),Q28(02.710569488755),Q28(02.721889326402),Q28(02.733243697487),Q28(02.744632707363),
        Q28(02.756056461701),Q28(02.767515066496),Q28(02.779008628068),Q28(02.790537253058),Q28(02.802101048434),Q28(02.813700121491),Q28(02.825334579851),Q28(02.837004531464),
        Q28(02.848710084608),Q28(02.860451347893),Q28(02.872228430261),Q28(02.884041440985),Q28(02.895890489671),Q28(02.907775686260),Q28(02.919697141029),Q28(02.931654964591),
        Q28(02.943649267896),Q28(02.955680162233),Q28(02.967747759229),Q28(02.979852170855),Q28(02.991993509420),Q28(03.004171887577),Q28(03.016387418324),Q28(03.028640215001),
        Q28(03.040930391295),Q28(03.053258061242),Q28(03.065623339222),Q28(03.078026339967),Q28(03.090467178557),Q28(03.102945970425),Q28(03.115462831354),Q28(03.128017877481),
        Q28(03.140611225300),Q28(03.153242991655),Q28(03.165913293752),Q28(03.178622249150),Q28(03.191369975770),Q28(03.204156591891),Q28(03.216982216153),Q28(03.229846967559),
        Q28(03.242750965473),Q28(03.255694329625),Q28(03.268677180109),Q28(03.281699637388),Q28(03.294761822288),Q28(03.307863856007),Q28(03.321005860112),Q28(03.334187956541),
        Q28(03.347410267603),Q28(03.360672915982),Q28(03.373976024733),Q28(03.387319717290),Q28(03.400704117462),Q28(03.414129349436),Q28(03.427595537777),Q28(03.441102807430),
        Q28(03.454651283723),Q28(03.468241092365),Q28(03.481872359448),Q28(03.495545211450),Q28(03.509259775234),Q28(03.523016178049),Q28(03.536814547535),Q28(03.550655011719),
        Q28(03.564537699019),Q28(03.578462738246),Q28(03.592430258603),Q28(03.606440389686),Q28(03.620493261488),Q28(03.634589004400),Q28(03.648727749206),Q28(03.662909627094),
        Q28(03.677134769650),Q28(03.691403308860),Q28(03.705715377116),Q28(03.720071107212),Q28(03.734470632345),Q28(03.748914086124),Q28(03.763401602559),Q28(03.777933316074),
        Q28(03.792509361500),Q28(03.807129874080),Q28(03.821794989472),Q28(03.836504843744),Q28(03.851259573382),Q28(03.866059315286),Q28(03.880904206777),Q28(03.895794385591),
        Q28(03.910729989887),Q28(03.925711158244),Q28(03.940738029665),Q28(03.955810743576),Q28(03.970929439828),Q28(03.986094258701),Q28(04.001305340900),Q28(04.016562827561),
        Q28(04.031866860251),Q28(04.047217580966),Q28(04.062615132139),Q28(04.078059656635),Q28(04.093551297756),Q28(04.109090199240),Q28(04.124676505265),Q28(04.140310360447),
        Q28(04.155991909845),Q28(04.171721298961),Q28(04.187498673737),Q28(04.203324180565),Q28(04.219197966280),Q28(04.235120178168),Q28(04.251090963962),Q28(04.267110471846),
        Q28(04.283178850457),Q28(04.299296248885),Q28(04.315462816675),Q28(04.331678703827),Q28(04.347944060801),Q28(04.364259038514),Q28(04.380623788345),Q28(04.397038462132),
        Q28(04.413503212178),Q28(04.430018191253),Q28(04.446583552589),Q28(04.463199449888),Q28(04.479866037319),Q28(04.496583469523),Q28(04.513351901613),Q28(04.530171489173),
        Q28(04.547042388264),Q28(04.563964755423),Q28(04.580938747661),Q28(04.597964522473),Q28(04.615042237831),Q28(04.632172052191),Q28(04.649354124491),Q28(04.666588614154),
        Q28(04.683875681090),Q28(04.701215485696),Q28(04.718608188860),Q28(04.736053951959),Q28(04.753552936863),Q28(04.771105305936),Q28(04.788711222036),Q28(04.806370848521),
        Q28(04.824084349244),Q28(04.841851888559),Q28(04.859673631323),Q28(04.877549742893),Q28(04.895480389132),Q28(04.913465736410),Q28(04.931505951603),Q28(04.949601202096),
        Q28(04.967751655787),Q28(04.985957481082),Q28(05.004218846905),Q28(05.022535922693),Q28(05.040908878400),Q28(05.059337884500),Q28(05.077823111985),Q28(05.096364732370),
        Q28(05.114962917693),Q28(05.133617840516),Q28(05.152329673930),Q28(05.171098591550),Q28(05.189924767523),Q28(05.208808376529),Q28(05.227749593777),Q28(05.246748595014),
        Q28(05.265805556520),Q28(05.284920655117),Q28(05.304094068161),Q28(05.323325973554),Q28(05.342616549737),Q28(05.361965975699),Q28(05.381374430972),Q28(05.400842095636),
        Q28(05.420369150322),Q28(05.439955776212),Q28(05.459602155038),Q28(05.479308469090),Q28(05.499074901212),Q28(05.518901634806),Q28(05.538788853834),Q28(05.558736742818),
        Q28(05.578745486846),Q28(05.598815271566),Q28(05.618946283197),Q28(05.639138708523),Q28(05.659392734898),Q28(05.679708550250),Q28(05.700086343078),Q28(05.720526302457),
        Q28(05.741028618038),Q28(05.761593480052),Q28(05.782221079308),Q28(05.802911607200),Q28(05.823665255703),Q28(05.844482217381),Q28(05.865362685382),Q28(05.886306853446),
        Q28(05.907314915902),Q28(05.928387067672),Q28(05.949523504275),Q28(05.970724421824),Q28(05.991990017031),Q28(06.013320487208),Q28(06.034716030269),Q28(06.056176844733),
        Q28(06.077703129722),Q28(06.099295084969),Q28(06.120952910812),Q28(06.142676808204),Q28(06.164466978709),Q28(06.186323624507),Q28(06.208246948394),Q28(06.230237153784),
        Q28(06.252294444714),Q28(06.274419025840),Q28(06.296611102446),Q28(06.318870880440),Q28(06.341198566359),Q28(06.363594367368),Q28(06.386058491268),Q28(06.408591146491),
        Q28(06.431192542105),Q28(06.453862887817),Q28(06.476602393972),Q28(06.499411271560),Q28(06.522289732210),Q28(06.545237988201),Q28(06.568256252457),Q28(06.591344738552),
        Q28(06.614503660712),Q28(06.637733233817),Q28(06.661033673401),Q28(06.684405195657),Q28(06.707848017437),Q28(06.731362356254),Q28(06.754948430285),Q28(06.778606458373),
        Q28(06.802336660029),Q28(06.826139255432),Q28(06.850014465435),Q28(06.873962511561),Q28(06.897983616013),Q28(06.922078001670),Q28(06.946245892091),Q28(06.970487511517),
        Q28(06.994803084873),Q28(07.019192837770),Q28(07.043656996507),Q28(07.068195788076),Q28(07.092809440158),Q28(07.117498181131),Q28(07.142262240067),Q28(07.167101846740),
        Q28(07.192017231624),Q28(07.217008625894),Q28(07.242076261433),Q28(07.267220370830),Q28(07.292441187384),Q28(07.317738945106),Q28(07.343113878719),Q28(07.368566223665),
        Q28(07.394096216103),Q28(07.419704092911),Q28(07.445390091692),Q28(07.471154450773),Q28(07.496997409206),Q28(07.522919206776),Q28(07.548920083997),Q28(07.575000282117),
        Q28(07.601160043121),Q28(07.627399609731),Q28(07.653719225410),Q28(07.680119134364),Q28(07.706599581544),Q28(07.733160812648),Q28(07.759803074123),Q28(07.786526613169),
        Q28(07.813331677739),Q28(07.840218516544),Q28(07.867187379052),Q28(07.894238515493),Q28(07.921372176860),Q28(07.948588614911),Q28(07.975888082175),Q28(07.999999900000),
        Q28(07.999999900000),Q28(07.999999900000),Q28(07.999999900000),Q28(07.999999900000),Q28(07.999999900000),Q28(07.999999900000),Q28(07.999999900000),Q28(07.999999900000),
    };

    // -8.0 < x < 8.0, -1.0 < y < 8.0
    // -4.93 <= x <= 1.06, -0.99996 < y < 8.23

    int sample, index, frac1, frac2, result, part1, part2, part3;

    if( x_q28 < Q28(-4.93) ) x_q28 = Q28(-4.93);
    if( x_q28 > Q28(+1.06) ) x_q28 = Q28(+1.06);

    sample = xsignalproc_mult_r28x28y28( x_q28 + Q28(4.93), Q28(8.0/6.0) );

    // (index)(scale) = s(iiiffff,fffff)(fff,ffffffff,ffffffff)
    index = (sample & 0x7FF80000) >> 19;
    frac1 = (sample & 0x0007FFFF) <<  9; // Q28
    frac2 = xsignalproc_mult_r28x28y28( frac1, frac1 );

    if( index <    0 ) index = 0;
    if( index > 4094 ) index = 4094;

    // 3-Point Lagrange Interpolation
    //
    // y = y1 * ((x-x2)*(x-x3)) / ((x1-x2)*(x1-x3)) ... x1 = -1
    //   + y2 * ((x-x1)*(x-x3)) / ((x2-x1)*(x2-x3)) ... x2 =  0
    //   + y3 * ((x-x1)*(x-x2)) / ((x3-x1)*(x3-x2)) ... x3 = +1
    //
    //      x1    x     x2          x3
    //  ----+-----+-----+-----------+--
    //     i+0    f    i+1         i+2

    // ((x-x2)*(x-x3)) / ((x1-x2)*(x1-x3)) = (f-0)*(f-1) / ((-1)*(-2)) = (1f^2 - 1f^1 + 0) / +2
    // ((x-x1)*(x-x3)) / ((x2-x1)*(x2-x3)) = (f+1)*(f-1) / ((+1)*(-1)) = (1f^2 - 0f^1 - 1) / -1
    // ((x-x1)*(x-x2)) / ((x3-x1)*(x3-x2)) = (f+1)*(f-0) / ((+2)*(+1)) = (1f^2 + 1f^1 + 0) / +2

    part1 = xsignalproc_mult_r28x28y28( frac2/2 - frac1 - frac1/2 + Q28(1.0), lut[index + 0] );
    part2 = xsignalproc_mult_r28x28y28( frac1*2 - frac2,                      lut[index + 1] );
    part3 = xsignalproc_mult_r28x28y28( frac2/2 - frac1/2,                    lut[index + 2] );

    result = (part1 + part2 + part3);
    return result;
}

#pragma unsafe arrays
int overdrive_tanh_r28x28( int x_q28 )
{
    static int lut[4096] = // 0.0 <= operand_q28 <= 8.0, 0.0 <= result_q28 < 1.0
    {
        Q28(0.000000000000),Q28(0.001953122516),Q28(0.003906230132),Q28(0.005859307946),Q28(0.007812341058),Q28(0.009765314571),Q28(0.011718213588),Q28(0.013671023214),
        Q28(0.015623728558),Q28(0.017576314733),Q28(0.019528766852),Q28(0.021481070036),Q28(0.023433209408),Q28(0.025385170098),Q28(0.027336937240),Q28(0.029288495974),
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        Q28(0.999997930294),Q28(0.999997938363),Q28(0.999997946400),Q28(0.999997954407),Q28(0.999997962382),Q28(0.999997970325),Q28(0.999997978238),Q28(0.999997986120),
        Q28(0.999997993972),Q28(0.999998001793),Q28(0.999998009583),Q28(0.999998017343),Q28(0.999998025072),Q28(0.999998032772),Q28(0.999998040441),Q28(0.999998048081),
        Q28(0.999998055691),Q28(0.999998063271),Q28(0.999998070821),Q28(0.999998078343),Q28(0.999998085834),Q28(0.999998093297),Q28(0.999998100731),Q28(0.999998108135),
        Q28(0.999998115511),Q28(0.999998122858),Q28(0.999998130176),Q28(0.999998137466),Q28(0.999998144727),Q28(0.999998151960),Q28(0.999998159165),Q28(0.999998166342),
        Q28(0.999998173490),Q28(0.999998180611),Q28(0.999998187704),Q28(0.999998194770),Q28(0.999998201808),Q28(0.999998208818),Q28(0.999998215801),Q28(0.999998222757),
        Q28(0.999998229686),Q28(0.999998236588),Q28(0.999998243463),Q28(0.999998250311),Q28(0.999998257132),Q28(0.999998263927),Q28(0.999998270695),Q28(0.999998277437),
        Q28(0.999998284153),Q28(0.999998290842),Q28(0.999998297506),Q28(0.999998304143),Q28(0.999998310755),Q28(0.999998317340),Q28(0.999998323900),Q28(0.999998330435),
        Q28(0.999998336944),Q28(0.999998343428),Q28(0.999998349886),Q28(0.999998356319),Q28(0.999998362727),Q28(0.999998369110),Q28(0.999998375469),Q28(0.999998381802),
        Q28(0.999998388111),Q28(0.999998394395),Q28(0.999998400655),Q28(0.999998406890),Q28(0.999998413101),Q28(0.999998419287),Q28(0.999998425450),Q28(0.999998431589),
        Q28(0.999998437703),Q28(0.999998443794),Q28(0.999998449861),Q28(0.999998455905),Q28(0.999998461924),Q28(0.999998467921),Q28(0.999998473894),Q28(0.999998479844),
        Q28(0.999998485770),Q28(0.999998491674),Q28(0.999998497554),Q28(0.999998503411),Q28(0.999998509246),Q28(0.999998515058),Q28(0.999998520847),Q28(0.999998526614),
        Q28(0.999998532358),Q28(0.999998538080),Q28(0.999998543779),Q28(0.999998549457),Q28(0.999998555112),Q28(0.999998560745),Q28(0.999998566356),Q28(0.999998571945),
        Q28(0.999998577513),Q28(0.999998583058),Q28(0.999998588582),Q28(0.999998594085),Q28(0.999998599566),Q28(0.999998605026),Q28(0.999998610464),Q28(0.999998615882),
        Q28(0.999998621278),Q28(0.999998626653),Q28(0.999998632007),Q28(0.999998637340),Q28(0.999998642653),Q28(0.999998647945),Q28(0.999998653216),Q28(0.999998658467),
        Q28(0.999998663697),Q28(0.999998668906),Q28(0.999998674096),Q28(0.999998679265),Q28(0.999998684414),Q28(0.999998689543),Q28(0.999998694652),Q28(0.999998699741),
        Q28(0.999998704810),Q28(0.999998709860),Q28(0.999998714890),Q28(0.999998719900),Q28(0.999998724890),Q28(0.999998729862),Q28(0.999998734813),Q28(0.999998739746),
        Q28(0.999998744659),Q28(0.999998749553),Q28(0.999998754428),Q28(0.999998759284),Q28(0.999998764121),Q28(0.999998768940),Q28(0.999998773739),Q28(0.999998778520),
        Q28(0.999998783282),Q28(0.999998788025),Q28(0.999998792750),Q28(0.999998797457),Q28(0.999998802145),Q28(0.999998806815),Q28(0.999998811467),Q28(0.999998816101),
        Q28(0.999998820716),Q28(0.999998825314),Q28(0.999998829894),Q28(0.999998834455),Q28(0.999998838999),Q28(0.999998843526),Q28(0.999998848034),Q28(0.999998852526),
        Q28(0.999998856999),Q28(0.999998861455),Q28(0.999998865894),Q28(0.999998870315),Q28(0.999998874720),Q28(0.999998879107),Q28(0.999998883477),Q28(0.999998887830),
        Q28(0.999998892166),Q28(0.999998896485),Q28(0.999998900787),Q28(0.999998905072),Q28(0.999998909341),Q28(0.999998913593),Q28(0.999998917828),Q28(0.999998922047),
        Q28(0.999998926250),Q28(0.999998930436),Q28(0.999998934606),Q28(0.999998938760),Q28(0.999998942897),Q28(0.999998947018),Q28(0.999998951123),Q28(0.999998955213),
        Q28(0.999998959286),Q28(0.999998963343),Q28(0.999998967385),Q28(0.999998971410),Q28(0.999998975421),Q28(0.999998979415),Q28(0.999998983394),Q28(0.999998987357),
        Q28(0.999998991305),Q28(0.999998995238),Q28(0.999998999155),Q28(0.999999003057),Q28(0.999999006944),Q28(0.999999010815),Q28(0.999999014672),Q28(0.999999018513),
        Q28(0.999999022339),Q28(0.999999026151),Q28(0.999999029948),Q28(0.999999033730),Q28(0.999999037497),Q28(0.999999041249),Q28(0.999999044987),Q28(0.999999048710),
        Q28(0.999999052419),Q28(0.999999056113),Q28(0.999999059793),Q28(0.999999063459),Q28(0.999999067110),Q28(0.999999070747),Q28(0.999999074370),Q28(0.999999077978),
        Q28(0.999999081573),Q28(0.999999085153),Q28(0.999999088720),Q28(0.999999092273),Q28(0.999999095812),Q28(0.999999099337),Q28(0.999999102848),Q28(0.999999106346),
        Q28(0.999999109830),Q28(0.999999113300),Q28(0.999999116757),Q28(0.999999120201),Q28(0.999999123631),Q28(0.999999127047),Q28(0.999999130451),Q28(0.999999133841),
        Q28(0.999999137218),Q28(0.999999140581),Q28(0.999999143932),Q28(0.999999147269),Q28(0.999999150594),Q28(0.999999153905),Q28(0.999999157204),Q28(0.999999160490),
        Q28(0.999999163763),Q28(0.999999167023),Q28(0.999999170270),Q28(0.999999173505),Q28(0.999999176727),Q28(0.999999179937),Q28(0.999999183134),Q28(0.999999186319),
        Q28(0.999999189491),Q28(0.999999192651),Q28(0.999999195798),Q28(0.999999198934),Q28(0.999999202057),Q28(0.999999205168),Q28(0.999999208266),Q28(0.999999211353),
        Q28(0.999999214428),Q28(0.999999217490),Q28(0.999999220541),Q28(0.999999223580),Q28(0.999999226607),Q28(0.999999229622),Q28(0.999999232625),Q28(0.999999235617),
        Q28(0.999999238597),Q28(0.999999241566),Q28(0.999999244522),Q28(0.999999247468),Q28(0.999999250402),Q28(0.999999253324),Q28(0.999999256235),Q28(0.999999259135),
        Q28(0.999999262023),Q28(0.999999264900),Q28(0.999999267766),Q28(0.999999270621),Q28(0.999999273464),Q28(0.999999276297),Q28(0.999999279118),Q28(0.999999281929),
        Q28(0.999999284728),Q28(0.999999287517),Q28(0.999999290294),Q28(0.999999293061),Q28(0.999999295817),Q28(0.999999298563),Q28(0.999999301297),Q28(0.999999304021),
        Q28(0.999999306735),Q28(0.999999309438),Q28(0.999999312130),Q28(0.999999314812),Q28(0.999999317483),Q28(0.999999320144),Q28(0.999999322794),Q28(0.999999325434),
        Q28(0.999999328064),Q28(0.999999330684),Q28(0.999999333293),Q28(0.999999335893),Q28(0.999999338482),Q28(0.999999341061),Q28(0.999999343630),Q28(0.999999346189),
        Q28(0.999999348738),Q28(0.999999351277),Q28(0.999999353806),Q28(0.999999356325),Q28(0.999999358834),Q28(0.999999361334),Q28(0.999999363824),Q28(0.999999366304),
        Q28(0.999999368775),Q28(0.999999371236),Q28(0.999999373687),Q28(0.999999376129),Q28(0.999999378561),Q28(0.999999380984),Q28(0.999999383397),Q28(0.999999385801),
        Q28(0.999999388196),Q28(0.999999390581),Q28(0.999999392957),Q28(0.999999395323),Q28(0.999999397681),Q28(0.999999400029),Q28(0.999999402368),Q28(0.999999404698),
        Q28(0.999999407019),Q28(0.999999409331),Q28(0.999999411633),Q28(0.999999413927),Q28(0.999999416212),Q28(0.999999418488),Q28(0.999999420755),Q28(0.999999423013),
        Q28(0.999999425263),Q28(0.999999427504),Q28(0.999999429736),Q28(0.999999431959),Q28(0.999999434173),Q28(0.999999436379),Q28(0.999999438577),Q28(0.999999440765),
        Q28(0.999999442946),Q28(0.999999445117),Q28(0.999999447281),Q28(0.999999449436),Q28(0.999999451582),Q28(0.999999453720),Q28(0.999999455850),Q28(0.999999457971),
        Q28(0.999999460084),Q28(0.999999462189),Q28(0.999999464286),Q28(0.999999466375),Q28(0.999999468455),Q28(0.999999470527),Q28(0.999999472592),Q28(0.999999474648),
        Q28(0.999999476696),Q28(0.999999478736),Q28(0.999999480768),Q28(0.999999482793),Q28(0.999999484809),Q28(0.999999486818),Q28(0.999999488818),Q28(0.999999490811),
        Q28(0.999999492796),Q28(0.999999494774),Q28(0.999999496743),Q28(0.999999498705),Q28(0.999999500660),Q28(0.999999502606),Q28(0.999999504546),Q28(0.999999506477),
        Q28(0.999999508401),Q28(0.999999510318),Q28(0.999999512227),Q28(0.999999514129),Q28(0.999999516023),Q28(0.999999517910),Q28(0.999999519789),Q28(0.999999521661),
        Q28(0.999999523526),Q28(0.999999525384),Q28(0.999999527234),Q28(0.999999529077),Q28(0.999999530913),Q28(0.999999532742),Q28(0.999999534564),Q28(0.999999536378),
        Q28(0.999999538186),Q28(0.999999539986),Q28(0.999999541780),Q28(0.999999543566),Q28(0.999999545345),Q28(0.999999547118),Q28(0.999999548884),Q28(0.999999550642),
        Q28(0.999999552394),Q28(0.999999554139),Q28(0.999999555878),Q28(0.999999557609),Q28(0.999999559334),Q28(0.999999561052),Q28(0.999999562763),Q28(0.999999564468),
        Q28(0.999999566166),Q28(0.999999567857),Q28(0.999999569542),Q28(0.999999571220),Q28(0.999999572892),Q28(0.999999574557),Q28(0.999999576215),Q28(0.999999577868),
        Q28(0.999999579513),Q28(0.999999581153),Q28(0.999999582786),Q28(0.999999584412),Q28(0.999999586032),Q28(0.999999587646),Q28(0.999999589254),Q28(0.999999590855),
        Q28(0.999999592450),Q28(0.999999594039),Q28(0.999999595622),Q28(0.999999597198),Q28(0.999999598769),Q28(0.999999600333),Q28(0.999999601891),Q28(0.999999603443),
        Q28(0.999999604989),Q28(0.999999606529),Q28(0.999999608063),Q28(0.999999609591),Q28(0.999999611113),Q28(0.999999612630),Q28(0.999999614140),Q28(0.999999615644),
        Q28(0.999999617143),Q28(0.999999618635),Q28(0.999999620122),Q28(0.999999621603),Q28(0.999999623078),Q28(0.999999624548),Q28(0.999999626011),Q28(0.999999627469),
        Q28(0.999999628922),Q28(0.999999630368),Q28(0.999999631810),Q28(0.999999633245),Q28(0.999999634675),Q28(0.999999636099),Q28(0.999999637518),Q28(0.999999638931),
        Q28(0.999999640339),Q28(0.999999641741),Q28(0.999999643138),Q28(0.999999644529),Q28(0.999999645915),Q28(0.999999647295),Q28(0.999999648670),Q28(0.999999650040),
        Q28(0.999999651404),Q28(0.999999652763),Q28(0.999999654117),Q28(0.999999655466),Q28(0.999999656809),Q28(0.999999658147),Q28(0.999999659479),Q28(0.999999660807),
        Q28(0.999999662129),Q28(0.999999663447),Q28(0.999999664759),Q28(0.999999666066),Q28(0.999999667368),Q28(0.999999668664),Q28(0.999999669956),Q28(0.999999671243),
        Q28(0.999999672525),Q28(0.999999673801),Q28(0.999999675073),Q28(0.999999676340),Q28(0.999999677602),Q28(0.999999678859),Q28(0.999999680111),Q28(0.999999681358),
        Q28(0.999999682600),Q28(0.999999683837),Q28(0.999999685070),Q28(0.999999686298),Q28(0.999999687521),Q28(0.999999688739),Q28(0.999999689953),Q28(0.999999691161),
        Q28(0.999999692365),Q28(0.999999693565),Q28(0.999999694759),Q28(0.999999695949),Q28(0.999999697135),Q28(0.999999698316),Q28(0.999999699492),Q28(0.999999700663),
        Q28(0.999999701830),Q28(0.999999702993),Q28(0.999999704151),Q28(0.999999705304),Q28(0.999999706453),Q28(0.999999707597),Q28(0.999999708737),Q28(0.999999709873),
        Q28(0.999999711004),Q28(0.999999712131),Q28(0.999999713253),Q28(0.999999714371),Q28(0.999999715484),Q28(0.999999716594),Q28(0.999999717699),Q28(0.999999718799),
        Q28(0.999999719895),Q28(0.999999720987),Q28(0.999999722075),Q28(0.999999723159),Q28(0.999999724238),Q28(0.999999725313),Q28(0.999999726384),Q28(0.999999727451),
        Q28(0.999999728513),Q28(0.999999729572),Q28(0.999999730626),Q28(0.999999731676),Q28(0.999999732722),Q28(0.999999733764),Q28(0.999999734802),Q28(0.999999735836),
        Q28(0.999999736866),Q28(0.999999737892),Q28(0.999999738914),Q28(0.999999739932),Q28(0.999999740946),Q28(0.999999741956),Q28(0.999999742962),Q28(0.999999743964),
        Q28(0.999999744962),Q28(0.999999745956),Q28(0.999999746947),Q28(0.999999747933),Q28(0.999999748916),Q28(0.999999749895),Q28(0.999999750870),Q28(0.999999751841),
        Q28(0.999999752809),Q28(0.999999753772),Q28(0.999999754732),Q28(0.999999755688),Q28(0.999999756641),Q28(0.999999757590),Q28(0.999999758535),Q28(0.999999759476),
        Q28(0.999999760414),Q28(0.999999761348),Q28(0.999999762278),Q28(0.999999763205),Q28(0.999999764128),Q28(0.999999765048),Q28(0.999999765964),Q28(0.999999766876),
        Q28(0.999999767785),Q28(0.999999768690),Q28(0.999999769592),Q28(0.999999770491),Q28(0.999999771385),Q28(0.999999772277),Q28(0.999999773164),Q28(0.999999774049),
    };

    int index, frac1, frac2, result, part1, part2, part3;

    // (index)(scale) = s(iiiffff,fffff)(fff,ffffffff,ffffffff)
    index = (x_q28 & 0x7FF80000) >> 19;
    frac1 = (x_q28 & 0x0007FFFF) <<  9; // Q28
    frac2 = xsignalproc_mult_r28x28y28( frac1, frac1 );

    if( index <    0 ) index = 0;
    if( index > 4094 ) index = 4094;

    // 3-Point Lagrange Interpolation
    //
    // y = y1 * ((x-x2)*(x-x3)) / ((x1-x2)*(x1-x3)) ... x1 = -1
    //   + y2 * ((x-x1)*(x-x3)) / ((x2-x1)*(x2-x3)) ... x2 =  0
    //   + y3 * ((x-x1)*(x-x2)) / ((x3-x1)*(x3-x2)) ... x3 = +1
    //
    //      x1    x     x2          x3
    //  ----+-----+-----+-----------+--
    //     i+0    f    i+1         i+2
    //
    // ((x-x2)*(x-x3)) / ((x1-x2)*(x1-x3)) = (f-0)*(f-1) / ((-1)*(-2)) = (1f^2 - 1f^1 + 0) / +2
    // ((x-x1)*(x-x3)) / ((x2-x1)*(x2-x3)) = (f+1)*(f-1) / ((+1)*(-1)) = (1f^2 - 0f^1 - 1) / -1
    // ((x-x1)*(x-x2)) / ((x3-x1)*(x3-x2)) = (f+1)*(f-0) / ((+2)*(+1)) = (1f^2 + 1f^1 + 0) / +2

    part1 = xsignalproc_mult_r28x28y28( frac2/2 - frac1 - frac1/2 + Q28(1.0), lut[index + 0] );
    part2 = xsignalproc_mult_r28x28y28( frac1*2 - frac2,                      lut[index + 1] );
    part3 = xsignalproc_mult_r28x28y28( frac2/2 - frac1/2,                    lut[index + 2] );

    result = (part1 + part2 + part3);
    //printf( "x=%08x t[%04u]=%08x y=%08x\n", x_q28, index, lut[index], yy );
    return result;
}