Carla/source/native-plugins/zynaddsubfx/Synth/OscilGen.cpp

/*
  ZynAddSubFX - a software synthesizer

  OscilGen.cpp - Waveform generator for ADnote
  Copyright (C) 2002-2005 Nasca Octavian Paul
  Author: Nasca Octavian Paul

  This program is free software; you can redistribute it and/or modify
  it under the terms of version 2 of the GNU General Public License
  as published by the Free Software Foundation.

  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 (version 2 or later) for more details.

  You should have received a copy of the GNU General Public License (version 2)
  along with this program; if not, write to the Free Software Foundation,
  Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307 USA

*/

#include "OscilGen.h"
#include "../Misc/WaveShapeSmps.h"

#include <cassert>
#include <stdlib.h>
#include <math.h>
#include <stdio.h>


//operations on FFTfreqs
inline void clearAll(fft_t *freqs)
{
    memset(freqs, 0, synth->oscilsize / 2 * sizeof(fft_t));
}

inline void clearDC(fft_t *freqs)
{
    freqs[0] = fft_t(0.0f, 0.0f);
}

//return magnitude squared
inline float normal(const fft_t *freqs, off_t x)
{
    return norm(freqs[x]);
}

//return magnitude
inline float abs(const fft_t *freqs, off_t x)
{
    return abs(freqs[x]);
}

//return angle aka phase from a sine (not cosine wave)
inline float arg(const fft_t *freqs, off_t x)
{
    const fft_t tmp(freqs[x].imag(), freqs[x].real());
    return arg(tmp);
}

/**
 * Take frequency spectrum and ensure values are normalized based upon
 * magnitude to 0<=x<=1
 */
void normalize(fft_t *freqs)
{
    float normMax = 0.0f;
    for(int i = 0; i < synth->oscilsize / 2; ++i) {
        //magnitude squared
        const float norm = normal(freqs, i);
        if(normMax < norm)
            normMax = norm;
    }

    const float max = sqrt(normMax);
    if(max < 1e-8) //data is all ~zero, do not amplify noise
        return;

    for(int i = 0; i < synth->oscilsize / 2; ++i)
        freqs[i] /= max;
}

//Full RMS normalize
void rmsNormalize(fft_t *freqs)
{
    float sum = 0.0f;
    for(int i = 1; i < synth->oscilsize / 2; ++i)
        sum += normal(freqs, i);

    if(sum < 0.000001f)
        return;  //data is all ~zero, do not amplify noise

    const float gain = 1.0f / sqrt(sum);

    for(int i = 1; i < synth->oscilsize / 2; ++i)
        freqs[i] *= gain;
}

#define DIFF(par) (old ## par != P ## par)

OscilGen::OscilGen(FFTwrapper *fft_, Resonance *res_):Presets()
{
    assert(fft_);

    setpresettype("Poscilgen");
    fft = fft_;
    res = res_;


    tmpsmps = new float[synth->oscilsize];
    outoscilFFTfreqs = new fft_t[synth->oscilsize / 2];
    oscilFFTfreqs    = new fft_t[synth->oscilsize / 2];
    basefuncFFTfreqs = new fft_t[synth->oscilsize / 2];

    randseed = 1;
    ADvsPAD  = false;

    defaults();
}

OscilGen::~OscilGen()
{
    delete[] tmpsmps;
    delete[] outoscilFFTfreqs;
    delete[] basefuncFFTfreqs;
    delete[] oscilFFTfreqs;
}


void OscilGen::defaults()
{
    oldbasefunc = 0;
    oldbasepar  = 64;
    oldhmagtype = 0;
    oldwaveshapingfunction = 0;
    oldwaveshaping = 64;
    oldbasefuncmodulation     = 0;
    oldharmonicshift          = 0;
    oldbasefuncmodulationpar1 = 0;
    oldbasefuncmodulationpar2 = 0;
    oldbasefuncmodulationpar3 = 0;
    oldmodulation     = 0;
    oldmodulationpar1 = 0;
    oldmodulationpar2 = 0;
    oldmodulationpar3 = 0;

    for(int i = 0; i < MAX_AD_HARMONICS; ++i) {
        hmag[i]    = 0.0f;
        hphase[i]  = 0.0f;
        Phmag[i]   = 64;
        Phphase[i] = 64;
    }
    Phmag[0]  = 127;
    Phmagtype = 0;
    if(ADvsPAD)
        Prand = 127;       //max phase randomness (usefull if the oscil will be imported to a ADsynth from a PADsynth
    else
        Prand = 64;  //no randomness

    Pcurrentbasefunc = 0;
    Pbasefuncpar     = 64;

    Pbasefuncmodulation     = 0;
    Pbasefuncmodulationpar1 = 64;
    Pbasefuncmodulationpar2 = 64;
    Pbasefuncmodulationpar3 = 32;

    Pmodulation     = 0;
    Pmodulationpar1 = 64;
    Pmodulationpar2 = 64;
    Pmodulationpar3 = 32;

    Pwaveshapingfunction = 0;
    Pwaveshaping    = 64;
    Pfiltertype     = 0;
    Pfilterpar1     = 64;
    Pfilterpar2     = 64;
    Pfilterbeforews = 0;
    Psatype = 0;
    Psapar  = 64;

    Pamprandpower = 64;
    Pamprandtype  = 0;

    Pharmonicshift      = 0;
    Pharmonicshiftfirst = 0;

    Padaptiveharmonics         = 0;
    Padaptiveharmonicspower    = 100;
    Padaptiveharmonicsbasefreq = 128;
    Padaptiveharmonicspar      = 50;

    clearAll(oscilFFTfreqs);
    clearAll(basefuncFFTfreqs);
    oscilprepared = 0;
    oldfilterpars = 0;
    oldsapars     = 0;
    prepare();
}

void OscilGen::convert2sine()
{
    float  mag[MAX_AD_HARMONICS], phase[MAX_AD_HARMONICS];
    float  oscil[synth->oscilsize];
    fft_t *freqs = new fft_t[synth->oscilsize / 2];

    get(oscil, -1.0f);
    FFTwrapper *fft = new FFTwrapper(synth->oscilsize);
    fft->smps2freqs(oscil, freqs);
    delete (fft);

    normalize(freqs);

    mag[0]   = 0;
    phase[0] = 0;
    for(int i = 0; i < MAX_AD_HARMONICS; ++i) {
        mag[i]   = abs(freqs, i + 1);
        phase[i] = arg(freqs, i + 1);
    }

    defaults();

    for(int i = 0; i < MAX_AD_HARMONICS - 1; ++i) {
        float newmag   = mag[i];
        float newphase = phase[i];

        Phmag[i] = (int) ((newmag) * 64.0f) + 64;

        Phphase[i] = 64 - (int) (64.0f * newphase / PI);
        if(Phphase[i] > 127)
            Phphase[i] = 127;

        if(Phmag[i] == 64)
            Phphase[i] = 64;
    }
    delete[] freqs;
    prepare();
}

/*
 * Get the base function
 */
void OscilGen::getbasefunction(float *smps)
{
    int   i;
    float par = (Pbasefuncpar + 0.5f) / 128.0f;
    if(Pbasefuncpar == 64)
        par = 0.5f;

    float basefuncmodulationpar1 = Pbasefuncmodulationpar1 / 127.0f,
          basefuncmodulationpar2 = Pbasefuncmodulationpar2 / 127.0f,
          basefuncmodulationpar3 = Pbasefuncmodulationpar3 / 127.0f;

    switch(Pbasefuncmodulation) {
        case 1:
            basefuncmodulationpar1 =
                (powf(2, basefuncmodulationpar1 * 5.0f) - 1.0f) / 10.0f;
            basefuncmodulationpar3 =
                floor((powf(2, basefuncmodulationpar3 * 5.0f) - 1.0f));
            if(basefuncmodulationpar3 < 0.9999f)
                basefuncmodulationpar3 = -1.0f;
            break;
        case 2:
            basefuncmodulationpar1 =
                (powf(2, basefuncmodulationpar1 * 5.0f) - 1.0f) / 10.0f;
            basefuncmodulationpar3 = 1.0f
                                     + floor((powf(2, basefuncmodulationpar3
                                                   * 5.0f) - 1.0f));
            break;
        case 3:
            basefuncmodulationpar1 =
                (powf(2, basefuncmodulationpar1 * 7.0f) - 1.0f) / 10.0f;
            basefuncmodulationpar3 = 0.01f
                                     + (powf(2, basefuncmodulationpar3
                                             * 16.0f) - 1.0f) / 10.0f;
            break;
    }

    base_func func = getBaseFunction(Pcurrentbasefunc);

    for(i = 0; i < synth->oscilsize; ++i) {
        float t = i * 1.0f / synth->oscilsize;

        switch(Pbasefuncmodulation) {
            case 1:
                t = t * basefuncmodulationpar3 + sinf(
                    (t
                     + basefuncmodulationpar2) * 2.0f
                    * PI) * basefuncmodulationpar1;                              //rev
                break;
            case 2:
                t = t + sinf(
                    (t * basefuncmodulationpar3
                     + basefuncmodulationpar2) * 2.0f
                    * PI) * basefuncmodulationpar1;                              //sine
                break;
            case 3:
                t = t + powf((1.0f - cosf(
                                  (t
                                   + basefuncmodulationpar2) * 2.0f
                                  * PI)) * 0.5f,
                             basefuncmodulationpar3) * basefuncmodulationpar1; //power
                break;
        }

        t = t - floor(t);

        if(func)
            smps[i] = func(t, par);
        else
            smps[i] = -sinf(2.0f * PI * i / synth->oscilsize);
    }
}


/*
 * Filter the oscillator
 */
void OscilGen::oscilfilter()
{
    if(Pfiltertype == 0)
        return;

    const float par    = 1.0f - Pfilterpar1 / 128.0f;
    const float par2   = Pfilterpar2 / 127.0f;
    filter_func filter = getFilter(Pfiltertype);

    for(int i = 1; i < synth->oscilsize / 2; ++i)
        oscilFFTfreqs[i] *= filter(i, par, par2);

    normalize(oscilFFTfreqs);
}


/*
 * Change the base function
 */
void OscilGen::changebasefunction()
{
    if(Pcurrentbasefunc != 0) {
        getbasefunction(tmpsmps);
        fft->smps2freqs(tmpsmps, basefuncFFTfreqs);
        clearDC(basefuncFFTfreqs);
    }
    else //in this case basefuncFFTfreqs are not used
        clearAll(basefuncFFTfreqs);
    oscilprepared = 0;
    oldbasefunc   = Pcurrentbasefunc;
    oldbasepar    = Pbasefuncpar;
    oldbasefuncmodulation     = Pbasefuncmodulation;
    oldbasefuncmodulationpar1 = Pbasefuncmodulationpar1;
    oldbasefuncmodulationpar2 = Pbasefuncmodulationpar2;
    oldbasefuncmodulationpar3 = Pbasefuncmodulationpar3;
}

inline void normalize(float *smps, size_t N)
{
    //Find max
    float max = 0.0f;
    for(size_t i = 0; i < N; ++i)
        if(max < fabs(smps[i]))
            max = fabs(smps[i]);
    if(max < 0.00001f)
        max = 1.0f;

    //Normalize to +-1
    for(size_t i = 0; i < N; ++i)
        smps[i] /= max;
}

/*
 * Waveshape
 */
void OscilGen::waveshape()
{
    oldwaveshapingfunction = Pwaveshapingfunction;
    oldwaveshaping = Pwaveshaping;
    if(Pwaveshapingfunction == 0)
        return;

    clearDC(oscilFFTfreqs);
    //reduce the amplitude of the freqs near the nyquist
    for(int i = 1; i < synth->oscilsize / 8; ++i) {
        float gain = i / (synth->oscilsize / 8.0f);
        oscilFFTfreqs[synth->oscilsize / 2 - i] *= gain;
    }
    fft->freqs2smps(oscilFFTfreqs, tmpsmps);

    //Normalize
    normalize(tmpsmps, synth->oscilsize);

    //Do the waveshaping
    waveShapeSmps(synth->oscilsize, tmpsmps, Pwaveshapingfunction, Pwaveshaping);

    fft->smps2freqs(tmpsmps, oscilFFTfreqs); //perform FFT
}


/*
 * Do the Frequency Modulation of the Oscil
 */
void OscilGen::modulation()
{
    int i;

    oldmodulation     = Pmodulation;
    oldmodulationpar1 = Pmodulationpar1;
    oldmodulationpar2 = Pmodulationpar2;
    oldmodulationpar3 = Pmodulationpar3;
    if(Pmodulation == 0)
        return;


    float modulationpar1 = Pmodulationpar1 / 127.0f,
          modulationpar2 = 0.5f - Pmodulationpar2 / 127.0f,
          modulationpar3 = Pmodulationpar3 / 127.0f;

    switch(Pmodulation) {
        case 1:
            modulationpar1 = (powf(2, modulationpar1 * 7.0f) - 1.0f) / 100.0f;
            modulationpar3 = floor((powf(2, modulationpar3 * 5.0f) - 1.0f));
            if(modulationpar3 < 0.9999f)
                modulationpar3 = -1.0f;
            break;
        case 2:
            modulationpar1 = (powf(2, modulationpar1 * 7.0f) - 1.0f) / 100.0f;
            modulationpar3 = 1.0f
                             + floor((powf(2, modulationpar3 * 5.0f) - 1.0f));
            break;
        case 3:
            modulationpar1 = (powf(2, modulationpar1 * 9.0f) - 1.0f) / 100.0f;
            modulationpar3 = 0.01f
                             + (powf(2, modulationpar3 * 16.0f) - 1.0f) / 10.0f;
            break;
    }

    clearDC(oscilFFTfreqs); //remove the DC
    //reduce the amplitude of the freqs near the nyquist
    for(i = 1; i < synth->oscilsize / 8; ++i) {
        float tmp = i / (synth->oscilsize / 8.0f);
        oscilFFTfreqs[synth->oscilsize / 2 - i] *= tmp;
    }
    fft->freqs2smps(oscilFFTfreqs, tmpsmps);
    int    extra_points = 2;
    float *in = new float[synth->oscilsize + extra_points];

    //Normalize
    normalize(tmpsmps, synth->oscilsize);

    for(i = 0; i < synth->oscilsize; ++i)
        in[i] = tmpsmps[i];
    for(i = 0; i < extra_points; ++i)
        in[i + synth->oscilsize] = tmpsmps[i];

    //Do the modulation
    for(i = 0; i < synth->oscilsize; ++i) {
        float t = i * 1.0f / synth->oscilsize;

        switch(Pmodulation) {
            case 1:
                t = t * modulationpar3
                    + sinf((t + modulationpar2) * 2.0f * PI) * modulationpar1; //rev
                break;
            case 2:
                t = t
                    + sinf((t * modulationpar3
                            + modulationpar2) * 2.0f * PI) * modulationpar1; //sine
                break;
            case 3:
                t = t + powf((1.0f - cosf(
                                  (t + modulationpar2) * 2.0f * PI)) * 0.5f,
                             modulationpar3) * modulationpar1; //power
                break;
        }

        t = (t - floor(t)) * synth->oscilsize;

        int   poshi = (int) t;
        float poslo = t - floor(t);

        tmpsmps[i] = in[poshi] * (1.0f - poslo) + in[poshi + 1] * poslo;
    }

    delete [] in;
    fft->smps2freqs(tmpsmps, oscilFFTfreqs); //perform FFT
}


/*
 * Adjust the spectrum
 */
void OscilGen::spectrumadjust()
{
    if(Psatype == 0)
        return;
    float par = Psapar / 127.0f;
    switch(Psatype) {
        case 1:
            par = 1.0f - par * 2.0f;
            if(par >= 0.0f)
                par = powf(5.0f, par);
            else
                par = powf(8.0f, par);
            break;
        case 2:
            par = powf(10.0f, (1.0f - par) * 3.0f) * 0.001f;
            break;
        case 3:
            par = powf(10.0f, (1.0f - par) * 3.0f) * 0.001f;
            break;
    }


    normalize(oscilFFTfreqs);

    for(int i = 0; i < synth->oscilsize / 2; ++i) {
        float mag   = abs(oscilFFTfreqs, i);
        float phase = M_PI_2 - arg(oscilFFTfreqs, i);

        switch(Psatype) {
            case 1:
                mag = powf(mag, par);
                break;
            case 2:
                if(mag < par)
                    mag = 0.0f;
                break;
            case 3:
                mag /= par;
                if(mag > 1.0f)
                    mag = 1.0f;
                break;
        }
        oscilFFTfreqs[i] = std::polar<fftw_real>(mag, phase);
    }
}

void OscilGen::shiftharmonics()
{
    if(Pharmonicshift == 0)
        return;

    int   harmonicshift = -Pharmonicshift;
    fft_t h;

    if(harmonicshift > 0)
        for(int i = synth->oscilsize / 2 - 2; i >= 0; i--) {
            int oldh = i - harmonicshift;
            if(oldh < 0)
                h = 0.0f;
            else
                h = oscilFFTfreqs[oldh + 1];
            oscilFFTfreqs[i + 1] = h;
        }
    else
        for(int i = 0; i < synth->oscilsize / 2 - 1; ++i) {
            int oldh = i + abs(harmonicshift);
            if(oldh >= (synth->oscilsize / 2 - 1))
                h = 0.0f;
            else {
                h = oscilFFTfreqs[oldh + 1];
                if(abs(h) < 0.000001f)
                    h = 0.0f;
            }

            oscilFFTfreqs[i + 1] = h;
        }

    clearDC(oscilFFTfreqs);
}

/*
 * Prepare the Oscillator
 */
void OscilGen::prepare()
{
    if((oldbasepar != Pbasefuncpar) || (oldbasefunc != Pcurrentbasefunc)
       || DIFF(basefuncmodulation) || DIFF(basefuncmodulationpar1)
       || DIFF(basefuncmodulationpar2) || DIFF(basefuncmodulationpar3))
        changebasefunction();

    for(int i = 0; i < MAX_AD_HARMONICS; ++i)
        hphase[i] = (Phphase[i] - 64.0f) / 64.0f * PI / (i + 1);

    for(int i = 0; i < MAX_AD_HARMONICS; ++i) {
        const float hmagnew = 1.0f - fabs(Phmag[i] / 64.0f - 1.0f);
        switch(Phmagtype) {
            case 1:
                hmag[i] = expf(hmagnew * logf(0.01f));
                break;
            case 2:
                hmag[i] = expf(hmagnew * logf(0.001f));
                break;
            case 3:
                hmag[i] = expf(hmagnew * logf(0.0001f));
                break;
            case 4:
                hmag[i] = expf(hmagnew * logf(0.00001f));
                break;
            default:
                hmag[i] = 1.0f - hmagnew;
                break;
        }

        if(Phmag[i] < 64)
            hmag[i] = -hmag[i];
    }

    //remove the harmonics where Phmag[i]==64
    for(int i = 0; i < MAX_AD_HARMONICS; ++i)
        if(Phmag[i] == 64)
            hmag[i] = 0.0f;


    clearAll(oscilFFTfreqs);
    if(Pcurrentbasefunc == 0)   //the sine case
        for(int i = 0; i < MAX_AD_HARMONICS - 1; ++i) {
            oscilFFTfreqs[i + 1] =
                std::complex<float>(-hmag[i] * sinf(hphase[i] * (i + 1)) / 2.0f,
                        hmag[i] * cosf(hphase[i] * (i + 1)) / 2.0f);
        }
    else
        for(int j = 0; j < MAX_AD_HARMONICS; ++j) {
            if(Phmag[j] == 64)
                continue;
            for(int i = 1; i < synth->oscilsize / 2; ++i) {
                int k = i * (j + 1);
                if(k >= synth->oscilsize / 2)
                    break;
                oscilFFTfreqs[k] += basefuncFFTfreqs[i] * std::polar<fftw_real>(
                    hmag[j],
                    hphase[j] * k);
            }
        }

    if(Pharmonicshiftfirst != 0)
        shiftharmonics();

    if(Pfilterbeforews == 0) {
        waveshape();
        oscilfilter();
    }
    else {
        oscilfilter();
        waveshape();
    }

    modulation();
    spectrumadjust();
    if(Pharmonicshiftfirst == 0)
        shiftharmonics();

    clearDC(oscilFFTfreqs);

    oldhmagtype      = Phmagtype;
    oldharmonicshift = Pharmonicshift + Pharmonicshiftfirst * 256;

    oscilprepared = 1;
}

void OscilGen::adaptiveharmonic(fft_t *f, float freq)
{
    if(Padaptiveharmonics == 0 /*||(freq<1.0f)*/)
        return;
    if(freq < 1.0f)
        freq = 440.0f;

    fft_t *inf = new fft_t[synth->oscilsize / 2];
    for(int i = 0; i < synth->oscilsize / 2; ++i)
        inf[i] = f[i];
    clearAll(f);
    clearDC(inf);

    float hc = 0.0f, hs = 0.0f;
    float basefreq = 30.0f * powf(10.0f, Padaptiveharmonicsbasefreq / 128.0f);
    float power    = (Padaptiveharmonicspower + 1.0f) / 101.0f;

    float rap = freq / basefreq;

    rap = powf(rap, power);

    bool down = false;
    if(rap > 1.0f) {
        rap  = 1.0f / rap;
        down = true;
    }

    for(int i = 0; i < synth->oscilsize / 2 - 2; ++i) {
        float h    = i * rap;
        int   high = (int)(i * rap);
        float low  = fmod(h, 1.0f);

        if(high >= (synth->oscilsize / 2 - 2))
            break;
        else {
            if(down) {
                f[high] =
                    std::complex<float>(f[high].real() + inf[i].real() * (1.0f - low),
                            f[high].imag() + inf[i].imag() * (1.0f - low));

                f[high + 1] = std::complex<float>(f[high + 1].real() + inf[i].real() * low,
                        f[high + 1].imag() + inf[i].imag() * low);
            }
            else {
                hc = inf[high].real()
                     * (1.0f - low) + inf[high + 1].real() * low;
                hs = inf[high].imag()
                     * (1.0f - low) + inf[high + 1].imag() * low;
            }
            if(fabs(hc) < 0.000001f)
                hc = 0.0f;
            if(fabs(hs) < 0.000001f)
                hs = 0.0f;
        }

        if(!down) {
            if(i == 0) { //corect the aplitude of the first harmonic
                hc *= rap;
                hs *= rap;
            }
            f[i] = fft_t(hc, hs);
        }
    }

    f[1] += f[0];
    clearDC(f);
    delete[] inf;
}

void OscilGen::adaptiveharmonicpostprocess(fft_t *f, int size)
{
    if(Padaptiveharmonics <= 1)
        return;
    fft_t *inf = new fft_t[size];
    float  par = Padaptiveharmonicspar * 0.01f;
    par = 1.0f - powf((1.0f - par), 1.5f);

    for(int i = 0; i < size; ++i) {
        inf[i] = f[i] * double(par);
        f[i]  *= (1.0f - par);
    }


    if(Padaptiveharmonics == 2) { //2n+1
        for(int i = 0; i < size; ++i)
            if((i % 2) == 0)
                f[i] += inf[i];  //i=0 pt prima armonica,etc.
    }
    else {  //celelalte moduri
        int nh = (Padaptiveharmonics - 3) / 2 + 2;
        int sub_vs_add = (Padaptiveharmonics - 3) % 2;
        if(sub_vs_add == 0) {
            for(int i = 0; i < size; ++i)
                if(((i + 1) % nh) == 0)
                    f[i] += inf[i];
        }
        else
            for(int i = 0; i < size / nh - 1; ++i)
                f[(i + 1) * nh - 1] += inf[i];
    }

    delete [] inf;
}

void OscilGen::newrandseed(unsigned int randseed)
{
    this->randseed = randseed;
}

bool OscilGen::needPrepare(void)
{
    bool outdated = false;

    //Check function parameters
    if((oldbasepar != Pbasefuncpar) || (oldbasefunc != Pcurrentbasefunc)
       || DIFF(hmagtype) || DIFF(waveshaping) || DIFF(waveshapingfunction))
        outdated = true;

    //Check filter parameters
    if(oldfilterpars != Pfiltertype * 256 + Pfilterpar1 + Pfilterpar2 * 65536
       + Pfilterbeforews * 16777216) {
        outdated      = true;
        oldfilterpars = Pfiltertype * 256 + Pfilterpar1 + Pfilterpar2 * 65536
                        + Pfilterbeforews * 16777216;
    }

    //Check spectrum adjustments
    if(oldsapars != Psatype * 256 + Psapar) {
        outdated  = true;
        oldsapars = Psatype * 256 + Psapar;
    }

    //Check function modulation
    if(DIFF(basefuncmodulation) || DIFF(basefuncmodulationpar1)
       || DIFF(basefuncmodulationpar2) || DIFF(basefuncmodulationpar3))
        outdated = true;

    //Check overall modulation
    if(DIFF(modulation) || DIFF(modulationpar1)
       || DIFF(modulationpar2) || DIFF(modulationpar3))
        outdated = true;

    //Check harmonic shifts
    if(oldharmonicshift != Pharmonicshift + Pharmonicshiftfirst * 256)
        outdated = true;

    return outdated == true || oscilprepared == false;
}

/*
 * Get the oscillator function
 */
short int OscilGen::get(float *smps, float freqHz, int resonance)
{
    if(needPrepare())
        prepare();

    int outpos =
        (int)((RND * 2.0f
               - 1.0f) * synth->oscilsize_f * (Prand - 64.0f) / 64.0f);
    outpos = (outpos + 2 * synth->oscilsize) % synth->oscilsize;


    clearAll(outoscilFFTfreqs);

    int nyquist = (int)(0.5f * synth->samplerate_f / fabs(freqHz)) + 2;
    if(ADvsPAD)
        nyquist = (int)(synth->oscilsize / 2);
    if(nyquist > synth->oscilsize / 2)
        nyquist = synth->oscilsize / 2;

    //Process harmonics
    {
        int realnyquist = nyquist;

        if(Padaptiveharmonics != 0)
            nyquist = synth->oscilsize / 2;
        for(int i = 1; i < nyquist - 1; ++i)
            outoscilFFTfreqs[i] = oscilFFTfreqs[i];

        adaptiveharmonic(outoscilFFTfreqs, freqHz);
        adaptiveharmonicpostprocess(&outoscilFFTfreqs[1],
                                    synth->oscilsize / 2 - 1);

        nyquist = realnyquist;
    }

    if(Padaptiveharmonics)   //do the antialiasing in the case of adaptive harmonics
        for(int i = nyquist; i < synth->oscilsize / 2; ++i)
            outoscilFFTfreqs[i] = fft_t(0.0f, 0.0f);

    // Randomness (each harmonic), the block type is computed
    // in ADnote by setting start position according to this setting
    if((Prand > 64) && (freqHz >= 0.0f) && (!ADvsPAD)) {
        const float rnd = PI * powf((Prand - 64.0f) / 64.0f, 2.0f);
        for(int i = 1; i < nyquist - 1; ++i) //to Nyquist only for AntiAliasing
            outoscilFFTfreqs[i] *=
                std::polar<fftw_real>(1.0f, (float)(rnd * i * RND));
    }

    //Harmonic Amplitude Randomness
    if((freqHz > 0.1f) && (!ADvsPAD)) {
        unsigned int realrnd = prng();
        sprng(randseed);
        float power     = Pamprandpower / 127.0f;
        float normalize = 1.0f / (1.2f - power);
        switch(Pamprandtype) {
            case 1:
                power = power * 2.0f - 0.5f;
                power = powf(15.0f, power);
                for(int i = 1; i < nyquist - 1; ++i)
                    outoscilFFTfreqs[i] *= powf(RND, power) * normalize;
                break;
            case 2:
                power = power * 2.0f - 0.5f;
                power = powf(15.0f, power) * 2.0f;
                float rndfreq = 2 * PI * RND;
                for(int i = 1; i < nyquist - 1; ++i)
                    outoscilFFTfreqs[i] *= powf(fabs(sinf(i * rndfreq)), power)
                                           * normalize;
                break;
        }
        sprng(realrnd + 1);
    }

    if((freqHz > 0.1f) && (resonance != 0))
        res->applyres(nyquist - 1, outoscilFFTfreqs, freqHz);

    rmsNormalize(outoscilFFTfreqs);

    if((ADvsPAD) && (freqHz > 0.1f)) //in this case the smps will contain the freqs
        for(int i = 1; i < synth->oscilsize / 2; ++i)
            smps[i - 1] = abs(outoscilFFTfreqs, i);
    else {
        fft->freqs2smps(outoscilFFTfreqs, smps);
        for(int i = 0; i < synth->oscilsize; ++i)
            smps[i] *= 0.25f;                     //correct the amplitude
    }

    if(Prand < 64)
        return outpos;
    else
        return 0;
}


/*
 * Get the spectrum of the oscillator for the UI
 */
void OscilGen::getspectrum(int n, float *spc, int what)
{
    if(n > synth->oscilsize / 2)
        n = synth->oscilsize / 2;

    for(int i = 1; i < n; ++i) {
        if(what == 0)
            spc[i - 1] = abs(oscilFFTfreqs, i);
        else {
            if(Pcurrentbasefunc == 0)
                spc[i - 1] = ((i == 1) ? (1.0f) : (0.0f));
            else
                spc[i - 1] = abs(basefuncFFTfreqs, i);
        }
    }

    if(what == 0) {
        for(int i = 0; i < n; ++i)
            outoscilFFTfreqs[i] = fft_t(spc[i], spc[i]);
        memset(outoscilFFTfreqs + n, 0,
               (synth->oscilsize / 2 - n) * sizeof(fft_t));
        adaptiveharmonic(outoscilFFTfreqs, 0.0f);
        adaptiveharmonicpostprocess(outoscilFFTfreqs, n - 1);
        for(int i = 0; i < n; ++i)
            spc[i] = outoscilFFTfreqs[i].imag();
    }
}


/*
 * Convert the oscillator as base function
 */
void OscilGen::useasbase()
{
    for(int i = 0; i < synth->oscilsize / 2; ++i)
        basefuncFFTfreqs[i] = oscilFFTfreqs[i];

    oldbasefunc = Pcurrentbasefunc = 127;
    prepare();
}


/*
 * Get the base function for UI
 */
void OscilGen::getcurrentbasefunction(float *smps)
{
    if(Pcurrentbasefunc != 0)
        fft->freqs2smps(basefuncFFTfreqs, smps);
    else
        getbasefunction(smps);   //the sine case
}

void OscilGen::add2XML(XMLwrapper *xml)
{
    xml->addpar("harmonic_mag_type", Phmagtype);

    xml->addpar("base_function", Pcurrentbasefunc);
    xml->addpar("base_function_par", Pbasefuncpar);
    xml->addpar("base_function_modulation", Pbasefuncmodulation);
    xml->addpar("base_function_modulation_par1", Pbasefuncmodulationpar1);
    xml->addpar("base_function_modulation_par2", Pbasefuncmodulationpar2);
    xml->addpar("base_function_modulation_par3", Pbasefuncmodulationpar3);

    xml->addpar("modulation", Pmodulation);
    xml->addpar("modulation_par1", Pmodulationpar1);
    xml->addpar("modulation_par2", Pmodulationpar2);
    xml->addpar("modulation_par3", Pmodulationpar3);

    xml->addpar("wave_shaping", Pwaveshaping);
    xml->addpar("wave_shaping_function", Pwaveshapingfunction);

    xml->addpar("filter_type", Pfiltertype);
    xml->addpar("filter_par1", Pfilterpar1);
    xml->addpar("filter_par2", Pfilterpar2);
    xml->addpar("filter_before_wave_shaping", Pfilterbeforews);

    xml->addpar("spectrum_adjust_type", Psatype);
    xml->addpar("spectrum_adjust_par", Psapar);

    xml->addpar("rand", Prand);
    xml->addpar("amp_rand_type", Pamprandtype);
    xml->addpar("amp_rand_power", Pamprandpower);

    xml->addpar("harmonic_shift", Pharmonicshift);
    xml->addparbool("harmonic_shift_first", Pharmonicshiftfirst);

    xml->addpar("adaptive_harmonics", Padaptiveharmonics);
    xml->addpar("adaptive_harmonics_base_frequency", Padaptiveharmonicsbasefreq);
    xml->addpar("adaptive_harmonics_power", Padaptiveharmonicspower);

    xml->beginbranch("HARMONICS");
    for(int n = 0; n < MAX_AD_HARMONICS; ++n) {
        if((Phmag[n] == 64) && (Phphase[n] == 64))
            continue;
        xml->beginbranch("HARMONIC", n + 1);
        xml->addpar("mag", Phmag[n]);
        xml->addpar("phase", Phphase[n]);
        xml->endbranch();
    }
    xml->endbranch();

    if(Pcurrentbasefunc == 127) {
        normalize(basefuncFFTfreqs);

        xml->beginbranch("BASE_FUNCTION");
        for(int i = 1; i < synth->oscilsize / 2; ++i) {
            float xc = basefuncFFTfreqs[i].real();
            float xs = basefuncFFTfreqs[i].imag();
            if((fabs(xs) > 0.00001f) && (fabs(xs) > 0.00001f)) {
                xml->beginbranch("BF_HARMONIC", i);
                xml->addparreal("cos", xc);
                xml->addparreal("sin", xs);
                xml->endbranch();
            }
        }
        xml->endbranch();
    }
}

void OscilGen::getfromXML(XMLwrapper *xml)
{
    Phmagtype = xml->getpar127("harmonic_mag_type", Phmagtype);

    Pcurrentbasefunc = xml->getpar127("base_function", Pcurrentbasefunc);
    Pbasefuncpar     = xml->getpar127("base_function_par", Pbasefuncpar);

    Pbasefuncmodulation = xml->getpar127("base_function_modulation",
                                         Pbasefuncmodulation);
    Pbasefuncmodulationpar1 = xml->getpar127("base_function_modulation_par1",
                                             Pbasefuncmodulationpar1);
    Pbasefuncmodulationpar2 = xml->getpar127("base_function_modulation_par2",
                                             Pbasefuncmodulationpar2);
    Pbasefuncmodulationpar3 = xml->getpar127("base_function_modulation_par3",
                                             Pbasefuncmodulationpar3);

    Pmodulation     = xml->getpar127("modulation", Pmodulation);
    Pmodulationpar1 = xml->getpar127("modulation_par1",
                                     Pmodulationpar1);
    Pmodulationpar2 = xml->getpar127("modulation_par2",
                                     Pmodulationpar2);
    Pmodulationpar3 = xml->getpar127("modulation_par3",
                                     Pmodulationpar3);

    Pwaveshaping = xml->getpar127("wave_shaping", Pwaveshaping);
    Pwaveshapingfunction = xml->getpar127("wave_shaping_function",
                                          Pwaveshapingfunction);

    Pfiltertype     = xml->getpar127("filter_type", Pfiltertype);
    Pfilterpar1     = xml->getpar127("filter_par1", Pfilterpar1);
    Pfilterpar2     = xml->getpar127("filter_par2", Pfilterpar2);
    Pfilterbeforews = xml->getpar127("filter_before_wave_shaping",
                                     Pfilterbeforews);

    Psatype = xml->getpar127("spectrum_adjust_type", Psatype);
    Psapar  = xml->getpar127("spectrum_adjust_par", Psapar);

    Prand = xml->getpar127("rand", Prand);
    Pamprandtype  = xml->getpar127("amp_rand_type", Pamprandtype);
    Pamprandpower = xml->getpar127("amp_rand_power", Pamprandpower);

    Pharmonicshift = xml->getpar("harmonic_shift",
                                 Pharmonicshift,
                                 -64,
                                 64);
    Pharmonicshiftfirst = xml->getparbool("harmonic_shift_first",
                                          Pharmonicshiftfirst);

    Padaptiveharmonics = xml->getpar("adaptive_harmonics",
                                     Padaptiveharmonics,
                                     0,
                                     127);
    Padaptiveharmonicsbasefreq = xml->getpar(
        "adaptive_harmonics_base_frequency",
        Padaptiveharmonicsbasefreq,
        0,
        255);
    Padaptiveharmonicspower = xml->getpar("adaptive_harmonics_power",
                                          Padaptiveharmonicspower,
                                          0,
                                          200);


    if(xml->enterbranch("HARMONICS")) {
        Phmag[0]   = 64;
        Phphase[0] = 64;
        for(int n = 0; n < MAX_AD_HARMONICS; ++n) {
            if(xml->enterbranch("HARMONIC", n + 1) == 0)
                continue;
            Phmag[n]   = xml->getpar127("mag", 64);
            Phphase[n] = xml->getpar127("phase", 64);
            xml->exitbranch();
        }
        xml->exitbranch();
    }

    if(Pcurrentbasefunc != 0)
        changebasefunction();


    if(xml->enterbranch("BASE_FUNCTION")) {
        for(int i = 1; i < synth->oscilsize / 2; ++i)
            if(xml->enterbranch("BF_HARMONIC", i)) {
                basefuncFFTfreqs[i] =
                    std::complex<float>(xml->getparreal("cos", 0.0f),
                            xml->getparreal("sin", 0.0f));
                xml->exitbranch();
            }
        xml->exitbranch();

        clearDC(basefuncFFTfreqs);
        normalize(basefuncFFTfreqs);
    }
}


//Define basic functions
#define FUNC(b) float basefunc_ ## b(float x, float a)

FUNC(pulse)
{
    return (fmod(x, 1.0f) < a) ? -1.0f : 1.0f;
}

FUNC(saw)
{
    if(a < 0.00001f)
        a = 0.00001f;
    else
    if(a > 0.99999f)
        a = 0.99999f;
    x = fmod(x, 1);
    if(x < a)
        return x / a * 2.0f - 1.0f;
    else
        return (1.0f - x) / (1.0f - a) * 2.0f - 1.0f;
}

FUNC(triangle)
{
    x = fmod(x + 0.25f, 1);
    a = 1 - a;
    if(a < 0.00001f)
        a = 0.00001f;
    if(x < 0.5f)
        x = x * 4 - 1.0f;
    else
        x = (1.0f - x) * 4 - 1.0f;
    x /= -a;
    if(x < -1.0f)
        x = -1.0f;
    if(x > 1.0f)
        x = 1.0f;
    return x;
}

FUNC(power)
{
    x = fmod(x, 1);
    if(a < 0.00001f)
        a = 0.00001f;
    else
    if(a > 0.99999f)
        a = 0.99999f;
    return powf(x, expf((a - 0.5f) * 10.0f)) * 2.0f - 1.0f;
}

FUNC(gauss)
{
    x = fmod(x, 1) * 2.0f - 1.0f;
    if(a < 0.00001f)
        a = 0.00001f;
    return expf(-x * x * (expf(a * 8) + 5.0f)) * 2.0f - 1.0f;
}

FUNC(diode)
{
    if(a < 0.00001f)
        a = 0.00001f;
    else
    if(a > 0.99999f)
        a = 0.99999f;
    a = a * 2.0f - 1.0f;
    x = cosf((x + 0.5f) * 2.0f * PI) - a;
    if(x < 0.0f)
        x = 0.0f;
    return x / (1.0f - a) * 2 - 1.0f;
}

FUNC(abssine)
{
    x = fmod(x, 1);
    if(a < 0.00001f)
        a = 0.00001f;
    else
    if(a > 0.99999f)
        a = 0.99999f;
    return sinf(powf(x, expf((a - 0.5f) * 5.0f)) * PI) * 2.0f - 1.0f;
}

FUNC(pulsesine)
{
    if(a < 0.00001f)
        a = 0.00001f;
    x = (fmod(x, 1) - 0.5f) * expf((a - 0.5f) * logf(128));
    if(x < -0.5f)
        x = -0.5f;
    else
    if(x > 0.5f)
        x = 0.5f;
    x = sinf(x * PI * 2.0f);
    return x;
}

FUNC(stretchsine)
{
    x = fmod(x + 0.5f, 1) * 2.0f - 1.0f;
    a = (a - 0.5f) * 4;
    if(a > 0.0f)
        a *= 2;
    a = powf(3.0f, a);
    float b = powf(fabs(x), a);
    if(x < 0)
        b = -b;
    return -sinf(b * PI);
}

FUNC(chirp)
{
    x = fmod(x, 1.0f) * 2.0f * PI;
    a = (a - 0.5f) * 4;
    if(a < 0.0f)
        a *= 2.0f;
    a = powf(3.0f, a);
    return sinf(x / 2.0f) * sinf(a * x * x);
}

FUNC(absstretchsine)
{
    x = fmod(x + 0.5f, 1) * 2.0f - 1.0f;
    a = (a - 0.5f) * 9;
    a = powf(3.0f, a);
    float b = powf(fabs(x), a);
    if(x < 0)
        b = -b;
    return -powf(sinf(b * PI), 2);
}

FUNC(chebyshev)
{
    a = a * a * a * 30.0f + 1.0f;
    return cosf(acosf(x * 2.0f - 1.0f) * a);
}

FUNC(sqr)
{
    a = a * a * a * a * 160.0f + 0.001f;
    return -atanf(sinf(x * 2.0f * PI) * a);
}

FUNC(spike)
{
    float b = a * 0.66666; // the width of the range: if a == 0.5, b == 0.33333

    if(x < 0.5) {
        if(x < (0.5 - (b / 2.0)))
            return 0.0;
        else {
            x = (x + (b / 2) - 0.5) * (2.0 / b); // shift to zero, and expand to range from 0 to 1
            return x * (2.0 / b); // this is the slope: 1 / (b / 2)
        }
    }
    else {
        if(x > (0.5 + (b / 2.0)))
            return 0.0;
        else {
            x = (x - 0.5) * (2.0 / b);
            return (1 - x) * (2.0 / b);
        }
    }
}

FUNC(circle)
{
    // a is parameter: 0 -> 0.5 -> 1 // O.5 = circle
    float b, y;

    b = 2 - (a * 2); // b goes from 2 to 0
    x = x * 4;

    if(x < 2) {
        x = x - 1; // x goes from -1 to 1
        if((x < -b) || (x > b))
            y = 0;
        else
            y = sqrt(1 - (pow(x, 2) / pow(b, 2)));  // normally * a^2, but a stays 1
    }
    else {
        x = x - 3; // x goes from -1 to 1 as well
        if((x < -b) || (x > b))
            y = 0;
        else
            y = -sqrt(1 - (pow(x, 2) / pow(b, 2)));
    }
    return y;
}

typedef float (*base_func)(float, float);

base_func getBaseFunction(unsigned char func)
{
    if(!func)
        return NULL;

    if(func == 127) //should be the custom wave
        return NULL;

    func--;
    assert(func < 15);
    base_func functions[] = {
        basefunc_triangle,
        basefunc_pulse,
        basefunc_saw,
        basefunc_power,
        basefunc_gauss,
        basefunc_diode,
        basefunc_abssine,
        basefunc_pulsesine,
        basefunc_stretchsine,
        basefunc_chirp,
        basefunc_absstretchsine,
        basefunc_chebyshev,
        basefunc_sqr,
        basefunc_spike,
        basefunc_circle,
    };
    return functions[func];
}

//And filters

#define FILTER(x) float osc_ ## x(unsigned int i, float par, float par2)
FILTER(lp)
{
    float gain = powf(1.0f - par * par * par * 0.99f, i);
    float tmp  = par2 * par2 * par2 * par2 * 0.5f + 0.0001f;
    if(gain < tmp)
        gain = powf(gain, 10.0f) / powf(tmp, 9.0f);
    return gain;
}

FILTER(hp1)
{
    float gain = 1.0f - powf(1.0f - par * par, i + 1);
    return powf(gain, par2 * 2.0f + 0.1f);
}

FILTER(hp1b)
{
    if(par < 0.2f)
        par = par * 0.25f + 0.15f;
    float gain = 1.0f - powf(1.0f - par * par * 0.999f + 0.001f,
                             i * 0.05f * i + 1.0f);
    float tmp = powf(5.0f, par2 * 2.0f);
    return powf(gain, tmp);
}

FILTER(bp1)
{
    float gain = i + 1 - powf(2, (1.0f - par) * 7.5f);
    gain = 1.0f / (1.0f + gain * gain / (i + 1.0f));
    float tmp = powf(5.0f, par2 * 2.0f);
    gain = powf(gain, tmp);
    if(gain < 1e-5)
        gain = 1e-5;
    return gain;
}

FILTER(bs1)
{
    float gain = i + 1 - powf(2, (1.0f - par) * 7.5f);
    gain = powf(atanf(gain / (i / 10.0f + 1)) / 1.57f, 6);
    return powf(gain, par2 * par2 * 3.9f + 0.1f);
}

FILTER(lp2)
{
    return (i + 1 >
            powf(2, (1.0f - par) * 10) ? 0.0f : 1.0f) * par2 + (1.0f - par2);
}

FILTER(hp2)
{
    if(par == 1)
        return 1.0f;
    return (i + 1 >
            powf(2, (1.0f - par) * 7) ? 1.0f : 0.0f) * par2 + (1.0f - par2);
}

FILTER(bp2)
{
    return (fabs(powf(2,
                      (1.0f
                       - par)
                      * 7)
                 - i) > i / 2 + 1 ? 0.0f : 1.0f) * par2 + (1.0f - par2);
}

FILTER(bs2)
{
    return (fabs(powf(2,
                      (1.0f
                       - par)
                      * 7)
                 - i) < i / 2 + 1 ? 0.0f : 1.0f) * par2 + (1.0f - par2);
}

bool floatEq(float a, float b)
{
    const float fudge = .01;
    return a + fudge > b && a - fudge < b;
}

FILTER(cos)
{
    float tmp = powf(5.0f, par2 * 2.0f - 1.0f);
    tmp = powf(i / 32.0f, tmp) * 32.0f;
    if(floatEq(par2 * 127.0f, 64.0f))
        tmp = i;
    float gain = cosf(par * par * PI / 2.0f * tmp);
    gain *= gain;
    return gain;
}

FILTER(sin)
{
    float tmp = powf(5.0f, par2 * 2.0f - 1.0f);
    tmp = powf(i / 32.0f, tmp) * 32.0f;
    if(floatEq(par2 * 127.0f, 64.0f))
        tmp = i;
    float gain = sinf(par * par * PI / 2.0f * tmp);
    gain *= gain;
    return gain;
}

FILTER(low_shelf)
{
    float p2 = 1.0f - par + 0.2f;
    float x  = i / (64.0f * p2 * p2);
    if(x < 0.0f)
        x = 0.0f;
    else
    if(x > 1.0f)
        x = 1.0f;
    float tmp = powf(1.0f - par2, 2.0f);
    return cosf(x * PI) * (1.0f - tmp) + 1.01f + tmp;
}

FILTER(s)
{
    unsigned int tmp = (int) (powf(2.0f, (1.0f - par) * 7.2f));
    float gain = 1.0f;
    if(i == tmp)
        gain = powf(2.0f, par2 * par2 * 8.0f);
    return gain;
}
#undef FILTER

typedef float (*filter_func)(unsigned int, float, float);
filter_func getFilter(unsigned char func)
{
    if(!func)
        return NULL;

    func--;
    assert(func < 13);
    filter_func functions[] = {
        osc_lp,
        osc_hp1,
        osc_hp1b,
        osc_bp1,
        osc_bs1,
        osc_lp2,
        osc_hp2,
        osc_bp2,
        osc_bs2,
        osc_cos,
        osc_sin,
        osc_low_shelf,
        osc_s
    };
    return functions[func];
}