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 "../DSP/FFTwrapper.h"
#include "../Synth/Resonance.h"
#include "../Misc/WaveShapeSmps.h"

#include <cassert>
#include <cstdlib>
#include <cmath>
#include <cstdio>
#include <cstddef>

#include <unistd.h>

#include <rtosc/ports.h>
#include <rtosc/port-sugar.h>

pthread_t main_thread;

#define rObject OscilGen
const rtosc::Ports OscilGen::non_realtime_ports = {
    rSelf(OscilGen),
    rPaste,
    //TODO ensure min/max
    rOption(Phmagtype,
            rOptions(linear,dB scale (-40),
                     dB scale (-60), dB scale (-80),
                     dB scale (-100)),
            "Type of magnitude for harmonics"),
    rOption(Pcurrentbasefunc,
            rOptions(sine, triangle, pulse, saw, power, gauss,
                diode, abssine, pulsesine, stretchsine,
                chirp, absstretchsine, chebyshev, sqr,
                spike, circle), rOpt(127,use-as-base waveform),
            "Base Waveform for harmonics"),
    rParamZyn(Pbasefuncpar,
            "Morph between possible base function shapes "
            "(e.g. rising sawtooth vs a falling sawtooth)"),
    rOption(Pbasefuncmodulation,
            rOptions(None, Rev, Sine, Power, Chop),
            "Modulation applied to Base function spectra"),
    rParamZyn(Pbasefuncmodulationpar1,
            "Base function modulation parameter"),
    rParamZyn(Pbasefuncmodulationpar2,
            "Base function modulation parameter"),
    rParamZyn(Pbasefuncmodulationpar3,
            "Base function modulation parameter"),
    rParamZyn(Pwaveshaping, "Degree Of Waveshaping"),
    rOption(Pwaveshapingfunction,
            rOptions(Undistorted,
                Arctangent, Asymmetric, Pow, Sine, Quantisize,
                Zigzag, Limiter, Upper Limiter, Lower Limiter,
                Inverse Limiter, Clip, Asym2, Pow2, sigmoid),
            "Shape of distortion to be applied"),
    rOption(Pfiltertype, rOptions(No Filter,
            lp, hp1, hp1b, bp1, bs1, lp2, hp2, bp2, bs2,
            cos, sin, low_shelf, s), "Harmonic Filter"),
    rParamZyn(Pfilterpar1, "Filter parameter"),
    rParamZyn(Pfilterpar2, "Filter parameter"),
    rToggle(Pfilterbeforews, "Filter before waveshaping spectra;"
            "When enabled oscilfilter(freqs); then waveshape(freqs);, "
            "otherwise waveshape(freqs); then oscilfilter(freqs);"),
    rOption(Psatype, rOptions(None, Pow, ThrsD, ThrsU),
            "Spectral Adjustment Type"),
    rParamZyn(Psapar, "Spectral Adjustment Parameter"),
    rParamI(Pharmonicshift, "Amount of shift on harmonics"),
    rToggle(Pharmonicshiftfirst, "If harmonics are shifted before waveshaping/filtering"),
    rOption(Pmodulation, rOptions(None, Rev, Sine, Power),
            "Frequency Modulation To Combined Spectra"),
    rParamZyn(Pmodulationpar1, "modulation parameter"),
    rParamZyn(Pmodulationpar2, "modulation parameter"),
    rParamZyn(Pmodulationpar3, "modulation parameter"),


    //TODO update to rArray and test
    {"phase#128::c:i", rProp(parameter) rLinear(0,127) rDoc("Sets harmonic phase"),
        NULL, [](const char *m, rtosc::RtData &d) {
            const char *mm = m;
            while(*mm && !isdigit(*mm)) ++mm;
            unsigned char &phase = ((OscilGen*)d.obj)->Phphase[atoi(mm)];
            if(!rtosc_narguments(m))
                d.reply(d.loc, "c", phase);
            else
                phase = rtosc_argument(m,0).i;
        }},
    //TODO update to rArray and test
    {"magnitude#128::c:i", rProp(parameter) rLinear(0,127) rDoc("Sets harmonic magnitude"),
        NULL, [](const char *m, rtosc::RtData &d) {
            //printf("I'm at '%s'\n", d.loc);
            const char *mm = m;
            while(*mm && !isdigit(*mm)) ++mm;
            unsigned char &mag = ((OscilGen*)d.obj)->Phmag[atoi(mm)];
            if(!rtosc_narguments(m))
                d.reply(d.loc, "c", mag);
            else {
                mag = rtosc_argument(m,0).i;
                printf("setting magnitude\n\n");
                //XXX hack hack
                char *repath = strdup(d.loc);
                char *edit   = rindex(repath, '/')+1;
                strcpy(edit, "prepare");
                OscilGen &o = *((OscilGen*)d.obj);
                fft_t *data = new fft_t[o.synth.oscilsize / 2];
                o.prepare(data);
                // fprintf(stderr, "sending '%p' of fft data\n", data);
                d.chain(repath, "b", sizeof(fft_t*), &data);
                o.pendingfreqs = data;
            }
        }},
    {"base-spectrum:", rProp(non-realtime) rDoc("Returns spectrum of base waveshape"),
        NULL, [](const char *, rtosc::RtData &d) {
            OscilGen &o = *((OscilGen*)d.obj);
            const unsigned n = o.synth.oscilsize / 2;
            float *spc = new float[n];
            memset(spc, 0, 4*n);
            ((OscilGen*)d.obj)->getspectrum(n,spc,1);
            d.reply(d.loc, "b", n*sizeof(float), spc);
            delete[] spc;
        }},
    {"base-waveform:", rProp(non-realtime) rDoc("Returns base waveshape points"),
        NULL, [](const char *, rtosc::RtData &d) {
            OscilGen &o = *((OscilGen*)d.obj);
            const unsigned n = o.synth.oscilsize;
            float *smps = new float[n];
            memset(smps, 0, 4*n);
            ((OscilGen*)d.obj)->getcurrentbasefunction(smps);
            d.reply(d.loc, "b", n*sizeof(float), smps);
            delete[] smps;
        }},
    {"spectrum:", rProp(non-realtime) rDoc("Returns spectrum of waveform"),
        NULL, [](const char *, rtosc::RtData &d) {
            OscilGen &o = *((OscilGen*)d.obj);
            const unsigned n = o.synth.oscilsize / 2;
            float *spc = new float[n];
            memset(spc, 0, 4*n);
            ((OscilGen*)d.obj)->getspectrum(n,spc,0);
            d.reply(d.loc, "b", n*sizeof(float), spc);
            delete[] spc;
        }},
    {"waveform:", rProp(non-realtime) rDoc("Returns waveform points"),
        NULL, [](const char *, rtosc::RtData &d) {
            OscilGen &o = *((OscilGen*)d.obj);
            const unsigned n = o.synth.oscilsize;
            float *smps = new float[n];
            memset(smps, 0, 4*n);
            //printf("%d\n", o->needPrepare());
            o.get(smps,-1.0);
            //printf("wave: %f %f %f %f\n", smps[0], smps[1], smps[2], smps[3]);
            d.reply(d.loc, "b", n*sizeof(float), smps);
            delete[] smps;
        }},
    {"prepare:", rProp(non-realtime) rDoc("Performs setup operation to oscillator"),
        NULL, [](const char *, rtosc::RtData &d) {
            //fprintf(stderr, "prepare: got a message from '%s'\n", m);
            OscilGen &o = *(OscilGen*)d.obj;
            fft_t *data = new fft_t[o.synth.oscilsize / 2];
            o.prepare(data);
            // fprintf(stderr, "sending '%p' of fft data\n", data);
            d.chain(d.loc, "b", sizeof(fft_t*), &data);
            o.pendingfreqs = data;
        }},
    {"convert2sine:", rProp(non-realtime) rDoc("Translates waveform into FS"),
        NULL, [](const char *, rtosc::RtData &d) {
            ((OscilGen*)d.obj)->convert2sine();
        }},
    {"use-as-base:", rProp(non-realtime) rDoc("Translates current waveform into base"),
        NULL, [](const char *, rtosc::RtData &d) {
            ((OscilGen*)d.obj)->useasbase();
        }}};

#define rForwardCb [](const char *msg, rtosc::RtData &d) {\
    printf("fowarding...\n"); d.forward();}
const rtosc::Ports OscilGen::realtime_ports{
    rSelf(OscilGen),
    rParamZyn(Prand, "Oscilator Phase Randomness: smaller than 0 is \""
            "group\", larger than 0 is for each harmonic"),
    rParamZyn(Pamprandpower,
            "Variance of harmonic randomness"),
    rOption(Pamprandtype, rOptions(None, Pow, Sin),
            "Harmonic random distribution to select from"),
    rOption(Padaptiveharmonics,
            rOptions(OFF, ON, Square, 2xSub, 2xAdd, 3xSub, 3xAdd, 4xSub, 4xAdd),
            "Adaptive Harmonics Mode"),
    rParamI(Padaptiveharmonicsbasefreq, rLinear(0,255),
            "Base frequency of adaptive harmonic (30..3000Hz)"),
    rParamI(Padaptiveharmonicspower,rLinear(0,200),
            "Adaptive Harmonic Strength"),
    rParamZyn(Padaptiveharmonicspar,
            "Adaptive Harmonics Postprocessing Power"),
    {"prepare:b", rProp(internal) rProp(realtime) rProp(pointer) rDoc("Sets prepared fft data"),
        NULL, [](const char *m, rtosc::RtData &d) {
            // fprintf(stderr, "prepare:b got a message from '%s'\n", m);
            OscilGen &o = *(OscilGen*)d.obj;
            assert(rtosc_argument(m,0).b.len == sizeof(void*));
            d.reply("/free", "sb", "fft_t", sizeof(void*), &o.oscilFFTfreqs);
            assert(o.oscilFFTfreqs !=*(fft_t**)rtosc_argument(m,0).b.data);
            o.oscilFFTfreqs = *(fft_t**)rtosc_argument(m,0).b.data;
        }},

};

const rtosc::MergePorts OscilGen::ports{
    &OscilGen::realtime_ports,
    &OscilGen::non_realtime_ports
};


//operations on FFTfreqs
inline void clearAll(fft_t *freqs, int oscilsize)
{
    memset(freqs, 0, 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, int oscilsize)
{
    float normMax = 0.0f;
    for(int i = 0; i < 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 < oscilsize / 2; ++i)
        freqs[i] /= max;
}

//Full RMS normalize
void rmsNormalize(fft_t *freqs, int oscilsize)
{
    float sum = 0.0f;
    for(int i = 1; i < 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 < oscilsize / 2; ++i)
        freqs[i] *= gain;
}

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

OscilGen::OscilGen(const SYNTH_T &synth_, FFTwrapper *fft_, Resonance *res_)
    :Presets(), synth(synth_)
{
    //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];
    pendingfreqs     = oscilFFTfreqs;

    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, synth.oscilsize);
    clearAll(basefuncFFTfreqs, synth.oscilsize);
    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, synth.oscilsize);

    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) * 63.0f) + 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)
{
    float par = (Pbasefuncpar + 0.5f) / 128.0f;
    if(Pbasefuncpar == 64)
        par = 0.5f;

    float p1 = Pbasefuncmodulationpar1 / 127.0f,
          p2 = Pbasefuncmodulationpar2 / 127.0f,
          p3 = Pbasefuncmodulationpar3 / 127.0f;

    switch(Pbasefuncmodulation) {
        case 1:
            p1 = (powf(2, p1 * 5.0f) - 1.0f) / 10.0f;
            p3 = floor(powf(2, p3 * 5.0f) - 1.0f);
            if(p3 < 0.9999f)
                p3 = -1.0f;
            break;
        case 2:
            p1 = (powf(2, p1 * 5.0f) - 1.0f) / 10.0f;
            p3 = 1.0f + floor(powf(2, p3 * 5.0f) - 1.0f);
            break;
        case 3:
            p1 = (powf(2, p1 * 7.0f) - 1.0f) / 10.0f;
            p3 = 0.01f + (powf(2, p3 * 16.0f) - 1.0f) / 10.0f;
            break;
    }

    base_func func = getBaseFunction(Pcurrentbasefunc);

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

        switch(Pbasefuncmodulation) {
            case 1: //rev
                t = t * p3 + sinf((t + p2) * 2.0f * PI) * p1;
                break;
            case 2: //sine
                t += sinf( (t * p3 + p2) * 2.0f * PI) * p1;
                break;
            case 3: //power
                t += powf((1.0f - cosf((t + p2) * 2.0f * PI)) * 0.5f, p3) * p1;
                break;
            case 4: //chop
                t = t * (powf(2.0, Pbasefuncmodulationpar1/32.0 +
                              Pbasefuncmodulationpar2/2048.0)) + p3;
        }

        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(fft_t *freqs)
{
    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)
        freqs[i] *= filter(i, par, par2);

    normalize(freqs, synth.oscilsize);
}


/*
 * Change the base function
 */
void OscilGen::changebasefunction(void)
{
    if(Pcurrentbasefunc != 0) {
        getbasefunction(tmpsmps);
        if(fft)
            fft->smps2freqs(tmpsmps, basefuncFFTfreqs);
        clearDC(basefuncFFTfreqs);
    }
    else //in this case basefuncFFTfreqs are not used
        clearAll(basefuncFFTfreqs, synth.oscilsize);
    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(fft_t *freqs)
{
    oldwaveshapingfunction = Pwaveshapingfunction;
    oldwaveshaping = Pwaveshaping;
    if(Pwaveshapingfunction == 0)
        return;

    clearDC(freqs);
    //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);
        freqs[synth.oscilsize / 2 - i] *= gain;
    }
    fft->freqs2smps(freqs, tmpsmps);

    //Normalize
    normalize(tmpsmps, synth.oscilsize);

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

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


/*
 * Do the Frequency Modulation of the Oscil
 */
void OscilGen::modulation(fft_t *freqs)
{
    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(freqs); //remove the DC
    //reduce the amplitude of the freqs near the nyquist
    for(int i = 1; i < synth.oscilsize / 8; ++i) {
        const float tmp = i / (synth.oscilsize / 8.0f);
        freqs[synth.oscilsize / 2 - i] *= tmp;
    }
    fft->freqs2smps(freqs, tmpsmps);
    const int    extra_points = 2;
    float *in = new float[synth.oscilsize + extra_points];

    //Normalize
    normalize(tmpsmps, synth.oscilsize);

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

    //Do the modulation
    for(int 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;

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

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

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


/*
 * Adjust the spectrum
 */
void OscilGen::spectrumadjust(fft_t *freqs)
{
    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(freqs, synth.oscilsize);

    for(int i = 0; i < synth.oscilsize / 2; ++i) {
        float mag   = abs(freqs, i);
        float phase = M_PI_2 - arg(freqs, 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;
        }
        freqs[i] = FFTpolar<fftw_real>(mag, phase);
    }
}

void OscilGen::shiftharmonics(fft_t *freqs)
{
    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 = freqs[oldh + 1];
            freqs[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 = freqs[oldh + 1];
                if(abs(h) < 0.000001f)
                    h = 0.0f;
            }

            freqs[i + 1] = h;
        }

    clearDC(freqs);
}

/*
 * Prepare the Oscillator
 */
void OscilGen::prepare(void)
{
    prepare(oscilFFTfreqs);
}

void OscilGen::prepare(fft_t *freqs)
{
    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(freqs, synth.oscilsize);
    if(Pcurrentbasefunc == 0)   //the sine case
        for(int i = 0; i < MAX_AD_HARMONICS - 1; ++i) {
            freqs[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;
                freqs[k] += basefuncFFTfreqs[i] * FFTpolar<fftw_real>(
                    hmag[j],
                    hphase[j] * k);
            }
        }

    if(Pharmonicshiftfirst != 0)
        shiftharmonics(freqs);

    if(Pfilterbeforews) {
        oscilfilter(freqs);
        waveshape(freqs);
    } else {
        waveshape(freqs);
        oscilfilter(freqs);
    }

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

    clearDC(freqs);

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

    oscilprepared = 1;
}

fft_t operator*(float a, fft_t b)
{
    return std::complex<float>(a*b.real(), a*b.imag());
}

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, synth.oscilsize);
    clearDC(inf);

    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) {
        const int   high = (int)(i * rap);
        const float low  = fmod(i * rap, 1.0f);

        if(high >= (synth.oscilsize / 2 - 2))
            break;

        if(down) {
            f[high] += (1.0f - low) * inf[i];
            f[high + 1] += low * inf[i];
        }
        else {
            f[i] = (1.0f - low) * inf[high] + low * inf[high + 1];
        }
    }
    if(!down)//corect the aplitude of the first harmonic
        f[0] *= rap;

    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 first harmonic,etc.
    }
    else {  //other ways
        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();

    fft_t *input = freqHz > 0.0f ? oscilFFTfreqs : pendingfreqs;

    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, synth.oscilsize);

    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] = input[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] *=
                FFTpolar<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, synth.oscilsize);

    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 oscillator function's harmonics
// */
//void OscilGen::getPad(float *smps, float freqHz)
//{
//    if(needPrepare())
//        prepare();
//
//    clearAll(outoscilFFTfreqs);
//
//    const int nyquist = (synth.oscilsize / 2);
//
//    //Process harmonics
//    for(int i = 1; i < nyquist - 1; ++i)
//        outoscilFFTfreqs[i] = oscilFFTfreqs[i];
//
//    adaptiveharmonic(outoscilFFTfreqs, freqHz);
//    adaptiveharmonicpostprocess(&outoscilFFTfreqs[1], nyquist - 1);
//
//    rmsNormalize(outoscilFFTfreqs);
//
//    for(int i = 1; i < nyquist; ++i)
//        smps[i - 1] = abs(outoscilFFTfreqs, i);
//}
//

/*
 * 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(pendingfreqs, 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
}

#define PRESERVE(x) decltype(this->x) x = this->x
#define RESTORE(x)  this->x = x
void OscilGen::paste(OscilGen &o)
{
    //XXX Figure out a better implementation of this sensitive to RT issues...
    //Preserve Pointer Elements
    PRESERVE(oscilFFTfreqs);
    PRESERVE(pendingfreqs);
    PRESERVE(tmpsmps);
    PRESERVE(outoscilFFTfreqs);
    PRESERVE(fft);
    PRESERVE(basefuncFFTfreqs);
    PRESERVE(res);
    memcpy((char*)this, (char*)&o, sizeof(*this));
    RESTORE(oscilFFTfreqs);
    RESTORE(pendingfreqs);
    RESTORE(tmpsmps);
    RESTORE(outoscilFFTfreqs);
    RESTORE(fft);
    RESTORE(basefuncFFTfreqs);
    RESTORE(res);
    if(this->Pcurrentbasefunc)
        changebasefunction();
    this->prepare();
}

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, synth.oscilsize);

        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) > 1e-6f) && (fabs(xc) > 1e-6f)) {
                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, synth.oscilsize);
    }
}


//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];
}