ref: f257cc4a97aa54f74305cc2ff3115134a0294318
dir: /LEAF/Src/leaf-oscillators.c/
/*==============================================================================
leaf-oscillators.c
Created: 20 Jan 2017 12:00:58pm
Author: Michael R Mulshine
==============================================================================*/
#if _WIN32 || _WIN64
#include "..\Inc\leaf-oscillators.h"
#include "..\leaf.h"
#else
#include "../Inc/leaf-oscillators.h"
#include "../leaf.h"
#endif
// Cycle
void tCycle_init(tCycle* const cy)
{
tCycle_initToPool(cy, &leaf.mempool);
}
void tCycle_free(tCycle* const cy)
{
tCycle_freeFromPool(cy, &leaf.mempool);
}
void tCycle_initToPool (tCycle* const cy, tMempool* const mp)
{
_tMempool* m = *mp;
_tCycle* c = *cy = (_tCycle*) mpool_alloc(sizeof(_tCycle), m);
c->inc = 0.0f;
c->phase = 0.0f;
}
void tCycle_freeFromPool (tCycle* const cy, tMempool* const mp)
{
_tMempool* m = *mp;
_tCycle* c = *cy;
mpool_free(c, m);
}
void tCycle_setFreq(tCycle* const cy, float freq)
{
_tCycle* c = *cy;
c->freq = freq;
c->inc = freq * leaf.invSampleRate;
}
//need to check bounds and wrap table properly to allow through-zero FM
float tCycle_tick(tCycle* const cy)
{
_tCycle* c = *cy;
float temp;;
int intPart;;
float fracPart;
float samp0;
float samp1;
// Phasor increment
c->phase += c->inc;
while (c->phase >= 1.0f) c->phase -= 1.0f;
while (c->phase < 0.0f) c->phase += 1.0f;
// Wavetable synthesis
temp = SINE_TABLE_SIZE * c->phase;
intPart = (int)temp;
fracPart = temp - (float)intPart;
samp0 = __leaf_table_sinewave[intPart];
if (++intPart >= SINE_TABLE_SIZE) intPart = 0;
samp1 = __leaf_table_sinewave[intPart];
return (samp0 + (samp1 - samp0) * fracPart);
}
void tCycleSampleRateChanged (tCycle* const cy)
{
_tCycle* c = *cy;
c->inc = c->freq * leaf.invSampleRate;
}
//========================================================================
/* Triangle */
void tTriangle_init(tTriangle* const cy)
{
tTriangle_initToPool(cy, &leaf.mempool);
}
void tTriangle_free(tTriangle* const cy)
{
tTriangle_freeFromPool(cy, &leaf.mempool);
}
void tTriangle_initToPool (tTriangle* const cy, tMempool* const mp)
{
_tMempool* m = *mp;
_tTriangle* c = *cy = (_tTriangle*) mpool_alloc(sizeof(_tTriangle), m);
c->inc = 0.0f;
c->phase = 0.0f;
tTriangle_setFreq(cy, 220);
}
void tTriangle_freeFromPool (tTriangle* const cy, tMempool* const mp)
{
_tMempool* m = *mp;
_tTriangle* c = *cy;
mpool_free(c, m);
}
void tTriangle_setFreq(tTriangle* const cy, float freq)
{
_tTriangle* c = *cy;
c->freq = freq;
c->inc = c->freq * leaf.invSampleRate;
c->w = c->freq * INV_20;
for (c->oct = 0; c->w > 2.0f; c->oct++)
{
c->w = 0.5f * c->w;
}
c->w = 2.0f - c->w;
}
float tTriangle_tick(tTriangle* const cy)
{
_tTriangle* c = *cy;
// Phasor increment
c->phase += c->inc;
while (c->phase >= 1.0f) c->phase -= 1.0f;
while (c->phase < 0.0f) c->phase += 1.0f;
float out = 0.0f;
int idx = (int)(c->phase * TRI_TABLE_SIZE);
// Wavetable synthesis
out = __leaf_table_triangle[c->oct+1][idx] +
(__leaf_table_triangle[c->oct][idx] - __leaf_table_triangle[c->oct+1][idx]) * c->w;
return out;
}
void tTriangleSampleRateChanged (tTriangle* const cy)
{
_tTriangle* c = *cy;
c->inc = c->freq * leaf.invSampleRate;
}
//========================================================================
/* Square */
void tSquare_init(tSquare* const cy)
{
tSquare_initToPool(cy, &leaf.mempool);
}
void tSquare_free(tSquare* const cy)
{
tSquare_freeFromPool(cy, &leaf.mempool);
}
void tSquare_initToPool (tSquare* const cy, tMempool* const mp)
{
_tMempool* m = *mp;
_tSquare* c = *cy = (_tSquare*) mpool_alloc(sizeof(_tSquare), m);
c->inc = 0.0f;
c->phase = 0.0f;
tSquare_setFreq(cy, 220);
}
void tSquare_freeFromPool(tSquare* const cy, tMempool* const mp)
{
_tMempool* m = *mp;
_tSquare* c = *cy;
mpool_free(c, m);
}
void tSquare_setFreq(tSquare* const cy, float freq)
{
_tSquare* c = *cy;
c->freq = freq;
c->inc = c->freq * leaf.invSampleRate;
c->w = c->freq * INV_20;
for (c->oct = 0; c->w > 2.0f; c->oct++)
{
c->w = 0.5f * c->w;
}
c->w = 2.0f - c->w;
}
float tSquare_tick(tSquare* const cy)
{
_tSquare* c = *cy;
// Phasor increment
c->phase += c->inc;
while (c->phase >= 1.0f) c->phase -= 1.0f;
while (c->phase < 0.0f) c->phase += 1.0f;
float out = 0.0f;
int idx = (int)(c->phase * SQR_TABLE_SIZE);
// Wavetable synthesis
out = __leaf_table_squarewave[c->oct+1][idx] +
(__leaf_table_squarewave[c->oct][idx] - __leaf_table_squarewave[c->oct+1][idx]) * c->w;
return out;
}
void tSquareSampleRateChanged (tSquare* const cy)
{
_tSquare* c = *cy;
c->inc = c->freq * leaf.invSampleRate;
}
//=====================================================================
// Sawtooth
void tSawtooth_init(tSawtooth* const cy)
{
tSawtooth_initToPool(cy, &leaf.mempool);
}
void tSawtooth_free(tSawtooth* const cy)
{
tSawtooth_freeFromPool(cy, &leaf.mempool);
}
void tSawtooth_initToPool (tSawtooth* const cy, tMempool* const mp)
{
_tMempool* m = *mp;
_tSawtooth* c = *cy = (_tSawtooth*) mpool_alloc(sizeof(_tSawtooth), m);
c->inc = 0.0f;
c->phase = 0.0f;
tSawtooth_setFreq(cy, 220);
}
void tSawtooth_freeFromPool (tSawtooth* const cy, tMempool* const mp)
{
_tMempool* m = *mp;
_tSawtooth* c = *cy;
mpool_free(c, m);
}
void tSawtooth_setFreq(tSawtooth* const cy, float freq)
{
_tSawtooth* c = *cy;
c->freq = freq;
c->inc = c->freq * leaf.invSampleRate;
c->w = c->freq * INV_20;
for (c->oct = 0; c->w > 2.0f; c->oct++)
{
c->w = 0.5f * c->w;
}
c->w = 2.0f - c->w;
}
float tSawtooth_tick(tSawtooth* const cy)
{
_tSawtooth* c = *cy;
// Phasor increment
c->phase += c->inc;
while (c->phase >= 1.0f) c->phase -= 1.0f;
while (c->phase < 0.0f) c->phase += 1.0f;
float out = 0.0f;
int idx = (int)(c->phase * SAW_TABLE_SIZE);
// Wavetable synthesis
out = __leaf_table_sawtooth[c->oct+1][idx] +
(__leaf_table_sawtooth[c->oct][idx] - __leaf_table_sawtooth[c->oct+1][idx]) * c->w;
return out;
}
void tSawtoothSampleRateChanged (tSawtooth* const cy)
{
_tSawtooth* c = *cy;
c->inc = c->freq * leaf.invSampleRate;
}
//========================================================================
// Sine
void tSine_init(tSine* const cy, int size)
{
tSine_initToPool(cy, size, &leaf.mempool);
}
void tSine_free(tSine* const cy)
{
tSine_freeFromPool(cy, &leaf.mempool);
}
void tSine_initToPool (tSine* const cy, int size, tMempool* const mp)
{
_tMempool* m = *mp;
_tSine* c = *cy = (_tSine*) mpool_alloc(sizeof(_tSine), m);
c->size = size;
c->sine = (float*) mpool_alloc(sizeof(float) * c->size, m);
LEAF_generate_sine(c->sine, size);
c->inc = 0.0f;
c->phase = 0.0f;
}
void tSine_freeFromPool (tSine* const cy, tMempool* const mp)
{
_tMempool* m = *mp;
_tSine* c = *cy;
mpool_free(c->sine, m);
mpool_free(c, m);
}
void tSine_setFreq(tSine* const cy, float freq)
{
_tSine* c = *cy;
c->freq = freq;
c->inc = freq * leaf.invSampleRate;
}
float tSine_tick(tSine* const cy)
{
_tSine* c = *cy;
float temp;
int intPart;
float fracPart;
float samp0;
float samp1;
// Phasor increment
c->phase += c->inc;
while (c->phase >= 1.0f) c->phase -= 1.0f;
while (c->phase < 0.0f) c->phase += 1.0f;
// Wavetable synthesis
temp = c->size * c->phase;
intPart = (int)temp;
fracPart = temp - (float)intPart;
samp0 = c->sine[intPart];
if (++intPart >= c->size) intPart = 0;
samp1 = c->sine[intPart];
return (samp0 + (samp1 - samp0) * fracPart);
}
void tSineSampleRateChanged (tSine* const cy)
{
_tSine* c = *cy;
c->inc = c->freq * leaf.invSampleRate;
}
//==============================================================================
/* tTri: Anti-aliased Triangle waveform. */
void tTri_init (tTri* const osc)
{
tTri_initToPool(osc, &leaf.mempool);
}
void tTri_free (tTri* const osc)
{
tTri_freeFromPool(osc, &leaf.mempool);
}
void tTri_initToPool (tTri* const osc, tMempool* const mp)
{
_tMempool* m = *mp;
_tTri* c = *osc = (_tTri*) mpool_alloc(sizeof(_tTri), m);
c->inc = 0.0f;
c->phase = 0.0f;
c->skew = 0.5f;
c->lastOut = 0.0f;
}
void tTri_freeFromPool (tTri* const cy, tMempool* const mp)
{
_tMempool* m = *mp;
_tTri* c = *cy;
mpool_free(c, m);
}
float tTri_tick (tTri* const osc)
{
_tTri* c = *osc;
float out;
float skew;
if (c->phase < c->skew)
{
out = 1.0f;
skew = (1.0f - c->skew) * 2.0f;
}
else
{
out = -1.0f;
skew = c->skew * 2.0f;
}
out += LEAF_poly_blep(c->phase, c->inc);
out -= LEAF_poly_blep(fmod(c->phase + (1.0f - c->skew), 1.0f), c->inc);
out = (skew * c->inc * out) + ((1 - c->inc) * c->lastOut);
c->lastOut = out;
c->phase += c->inc;
if (c->phase >= 1.0f)
{
c->phase -= 1.0f;
}
return out;
}
void tTri_setFreq (tTri* const osc, float freq)
{
_tTri* c = *osc;
c->freq = freq;
c->inc = freq * leaf.invSampleRate;
}
void tTri_setSkew (tTri* const osc, float skew)
{
_tTri* c = *osc;
c->skew = (skew + 1.0f) * 0.5f;
}
//==============================================================================
/* tPulse: Anti-aliased pulse waveform. */
void tPulse_init (tPulse* const osc)
{
tPulse_initToPool(osc, &leaf.mempool);
}
void tPulse_free (tPulse* const osc)
{
tPulse_freeFromPool(osc, &leaf.mempool);
}
void tPulse_initToPool (tPulse* const osc, tMempool* const mp)
{
_tMempool* m = *mp;
_tPulse* c = *osc = (_tPulse*) mpool_alloc(sizeof(_tPulse), m);
c->inc = 0.0f;
c->phase = 0.0f;
c->width = 0.5f;
}
void tPulse_freeFromPool(tPulse* const osc, tMempool* const mp)
{
_tMempool* m = *mp;
_tPulse* c = *osc;
mpool_free(c, m);
}
float tPulse_tick (tPulse* const osc)
{
_tPulse* c = *osc;
float out;
if (c->phase < c->width) out = 1.0f;
else out = -1.0f;
out += LEAF_poly_blep(c->phase, c->inc);
out -= LEAF_poly_blep(fmod(c->phase + (1.0f - c->width), 1.0f), c->inc);
c->phase += c->inc;
if (c->phase >= 1.0f)
{
c->phase -= 1.0f;
}
return out;
}
void tPulse_setFreq (tPulse* const osc, float freq)
{
_tPulse* c = *osc;
c->freq = freq;
c->inc = freq * leaf.invSampleRate;
}
void tPulse_setWidth (tPulse* const osc, float width)
{
_tPulse* c = *osc;
c->width = width;
}
//==============================================================================
/* tSawtooth: Anti-aliased Sawtooth waveform. */
void tSaw_init (tSaw* const osc)
{
tSaw_initToPool(osc, &leaf.mempool);
}
void tSaw_free (tSaw* const osc)
{
tSaw_freeFromPool(osc, &leaf.mempool);
}
void tSaw_initToPool (tSaw* const osc, tMempool* const mp)
{
_tMempool* m = *mp;
_tSaw* c = *osc = (_tSaw*) mpool_alloc(sizeof(_tSaw), m);
c->inc = 0.0f;
c->phase = 0.0f;
}
void tSaw_freeFromPool (tSaw* const osc, tMempool* const mp)
{
_tMempool* m = *mp;
_tSaw* c = *osc;
mpool_free(c, m);
}
float tSaw_tick (tSaw* const osc)
{
_tSaw* c = *osc;
float out = (c->phase * 2.0f) - 1.0f;
out -= LEAF_poly_blep(c->phase, c->inc);
c->phase += c->inc;
if (c->phase >= 1.0f)
{
c->phase -= 1.0f;
}
return out;
}
void tSaw_setFreq (tSaw* const osc, float freq)
{
_tSaw* c = *osc;
c->freq = freq;
c->inc = freq * leaf.invSampleRate;
}
//========================================================================
/* Phasor */
void tPhasorSampleRateChanged (tPhasor* const ph)
{
_tPhasor* p = *ph;
p->inc = p->freq * leaf.invSampleRate;
};
void tPhasor_init(tPhasor* const ph)
{
tPhasor_initToPool(ph, &leaf.mempool);
}
void tPhasor_free(tPhasor* const ph)
{
tPhasor_freeFromPool(ph, &leaf.mempool);
}
void tPhasor_initToPool (tPhasor* const ph, tMempool* const mp)
{
_tMempool* m = *mp;
_tPhasor* p = *ph = (_tPhasor*) mpool_alloc(sizeof(_tPhasor), m);
p->phase = 0.0f;
p->inc = 0.0f;
p->phaseDidReset = 0;
}
void tPhasor_freeFromPool(tPhasor* const ph, tMempool* const mp)
{
_tMempool* m = *mp;
_tPhasor* p = *ph;
mpool_free(p, m);
}
void tPhasor_setFreq(tPhasor* const ph, float freq)
{
_tPhasor* p = *ph;
p->freq = freq;
p->inc = freq * leaf.invSampleRate;
}
float tPhasor_tick(tPhasor* const ph)
{
_tPhasor* p = *ph;
p->phase += p->inc;
p->phaseDidReset = 0;
if (p->phase >= 1.0f)
{
p->phaseDidReset = 1;
p->phase -= 1.0f;
}
return p->phase;
}
/* Noise */
void tNoise_init(tNoise* const ns, NoiseType type)
{
tNoise_initToPool(ns, type, &leaf.mempool);
}
void tNoise_free(tNoise* const ns)
{
tNoise_freeFromPool(ns, &leaf.mempool);
}
void tNoise_initToPool (tNoise* const ns, NoiseType type, tMempool* const mp)
{
_tMempool* m = *mp;
_tNoise* n = *ns = (_tNoise*) mpool_alloc(sizeof(_tNoise), m);
n->type = type;
n->rand = leaf.random;
}
void tNoise_freeFromPool (tNoise* const ns, tMempool* const mp)
{
_tMempool* m = *mp;
_tNoise* n = *ns;
mpool_free(n, m);
}
float tNoise_tick(tNoise* const ns)
{
_tNoise* n = *ns;
float rand = (n->rand() * 2.0f) - 1.0f;
if (n->type == PinkNoise)
{
float tmp;
n->pinkb0 = 0.99765f * n->pinkb0 + rand * 0.0990460f;
n->pinkb1 = 0.96300f * n->pinkb1 + rand * 0.2965164f;
n->pinkb2 = 0.57000f * n->pinkb2 + rand * 1.0526913f;
tmp = n->pinkb0 + n->pinkb1 + n->pinkb2 + rand * 0.1848f;
return (tmp * 0.05f);
}
else // WhiteNoise
{
return rand;
}
}
//=================================================================================
/* Neuron */
void tNeuronSampleRateChanged(tNeuron* nr)
{
}
void tNeuron_init(tNeuron* const nr)
{
tNeuron_initToPool(nr, &leaf.mempool);
}
void tNeuron_free(tNeuron* const nr)
{
tNeuron_freeFromPool(nr, &leaf.mempool);
}
void tNeuron_initToPool (tNeuron* const nr, tMempool* const mp)
{
_tMempool* m = *mp;
_tNeuron* n = *nr = (_tNeuron*) mpool_alloc(sizeof(_tNeuron), m);
tPoleZero_initToPool(&n->f, mp);
tPoleZero_setBlockZero(&n->f, 0.99f);
n->timeStep = 1.0f / 50.0f;
n->current = 0.0f; // 100.0f for sound
n->voltage = 0.0f;
n->mode = NeuronNormal;
n->P[0] = 0.0f;
n->P[1] = 0.0f;
n->P[2] = 1.0f;
n->V[0] = -12.0f;
n->V[1] = 115.0f;
n->V[2] = 10.613f;
n->gK = 36.0f;
n->gN = 120.0f;
n->gL = 0.3f;
n->C = 1.0f;
n->rate[2] = n->gL/n->C;
}
void tNeuron_freeFromPool(tNeuron* const nr, tMempool* const mp)
{
_tMempool* m = *mp;
_tNeuron* n = *nr;
tPoleZero_free(&n->f);
mpool_free(n, m);
}
void tNeuron_reset(tNeuron* const nr)
{
_tNeuron* n = *nr;
tPoleZero_setBlockZero(&n->f, 0.99f);
n->timeStep = 1.0f / 50.0f;
n->current = 0.0f; // 100.0f for sound
n->voltage = 0.0f;
n->mode = NeuronNormal;
n->P[0] = 0.0f;
n->P[1] = 0.0f;
n->P[2] = 1.0f;
n->V[0] = -12.0f;
n->V[1] = 115.0f;
n->V[2] = 10.613f;
n->gK = 36.0f;
n->gN = 120.0f;
n->gL = 0.3f;
n->C = 1.0f;
n->rate[2] = n->gL/n->C;
}
void tNeuron_setV1(tNeuron* const nr, float V1)
{
_tNeuron* n = *nr;
n->V[0] = V1;
}
void tNeuron_setV2(tNeuron* const nr, float V2)
{
_tNeuron* n = *nr;
n->V[1] = V2;
}
void tNeuron_setV3(tNeuron* const nr, float V3)
{
_tNeuron* n = *nr;
n->V[2] = V3;
}
void tNeuron_setTimeStep(tNeuron* const nr, float timeStep)
{
_tNeuron* n = *nr;
n->timeStep = timeStep;
}
void tNeuron_setK(tNeuron* const nr, float K)
{
_tNeuron* n = *nr;
n->gK = K;
}
void tNeuron_setL(tNeuron* const nr, float L)
{
_tNeuron* n = *nr;
n->gL = L;
n->rate[2] = n->gL/n->C;
}
void tNeuron_setN(tNeuron* const nr, float N)
{
_tNeuron* n = *nr;
n->gN = N;
}
void tNeuron_setC(tNeuron* const nr, float C)
{
_tNeuron* n = *nr;
n->C = C;
n->rate[2] = n->gL/n->C;
}
float tNeuron_tick(tNeuron* const nr)
{
_tNeuron* n = *nr;
float output = 0.0f;
float voltage = n->voltage;
n->alpha[0] = (0.01f * (10.0f - voltage)) / (expf((10.0f - voltage)/10.0f) - 1.0f);
n->alpha[1] = (0.1f * (25.0f-voltage)) / (expf((25.0f-voltage)/10.0f) - 1.0f);
n->alpha[2] = (0.07f * expf((-1.0f * voltage)/20.0f));
n->beta[0] = (0.125f * expf((-1.0f* voltage)/80.0f));
n->beta[1] = (4.0f * expf((-1.0f * voltage)/18.0f));
n->beta[2] = (1.0f / (expf((30.0f-voltage)/10.0f) + 1.0f));
for (int i = 0; i < 3; i++)
{
n->P[i] = (n->alpha[i] * n->timeStep) + ((1.0f - ((n->alpha[i] + n->beta[i]) * n->timeStep)) * n->P[i]);
if (n->P[i] > 1.0f) n->P[i] = 0.0f;
else if (n->P[i] < -1.0f) n->P[i] = 0.0f;
}
// rate[0]= k ; rate[1] = Na ; rate[2] = l
n->rate[0] = ((n->gK * powf(n->P[0], 4.0f)) / n->C);
n->rate[1] = ((n->gN * powf(n->P[1], 3.0f) * n->P[2]) / n->C);
//calculate the final membrane voltage based on the computed variables
n->voltage = voltage +
(n->timeStep * n->current / n->C) -
(n->timeStep * ( n->rate[0] * (voltage - n->V[0]) + n->rate[1] * (voltage - n->V[1]) + n->rate[2] * (voltage - n->V[2])));
if (n->mode == NeuronTanh)
{
n->voltage = 100.0f * tanhf(0.01f * n->voltage);
}
else if (n->mode == NeuronAaltoShaper)
{
float shapeVoltage = 0.01f * n->voltage;
float w, c, xc, xc2, xc4;
float sqrt8 = 2.82842712475f;
float wscale = 1.30612244898f;
float m_drive = 1.0f;
xc = LEAF_clip(-sqrt8, shapeVoltage, sqrt8);
xc2 = xc*xc;
c = 0.5f * shapeVoltage * (3.0f - (xc2));
xc4 = xc2 * xc2;
w = (1.0f - xc2 * 0.25f + xc4 * 0.015625f) * wscale;
shapeVoltage = w * (c + 0.05f * xc2) * (m_drive + 0.75f);
n->voltage = 100.0f * shapeVoltage;
}
if (n->voltage > 100.0f) n->voltage = 100.0f;
else if (n->voltage < -100.) n->voltage = -100.0f;
//(inputCurrent + (voltage - ((voltage * timeStep) / timeConstant)) + P[0] + P[1] + P[2]) => voltage;
// now we should have a result
//set the output voltage to the "step" ugen, which controls the DAC.
output = n->voltage * 0.01f; // volts
output = tPoleZero_tick(&n->f, output);
return output;
}
void tNeuron_setMode (tNeuron* const nr, NeuronMode mode)
{
_tNeuron* n = *nr;
n->mode = mode;
}
void tNeuron_setCurrent (tNeuron* const nr, float current)
{
_tNeuron* n = *nr;
n->current = current;
}
void tMinBLEP_init (tMinBLEP* const minblep)
{
tMinBLEP_initToPool(minblep, &leaf.mempool);
}
void tMinBLEP_free (tMinBLEP* const minblep)
{
tMinBLEP_freeFromPool(minblep, &leaf.mempool);
}
void tMinBLEP_initToPool (tMinBLEP* const minblep, tMempool* const mp)
{
_tMempool* m = *mp;
_tMinBLEP* mb = *minblep = (_tMinBLEP*) mpool_alloc(sizeof(_tMinBLEP), m);
mb->overSamplingRatio = 16;
mb->zeroCrossings = 16;
mb->returnDerivative = 0;
mb->proportionalBlepFreq = 0.5; // defaults to NyQuist ....
mb->lastValue = 0;
mb->lastDelta = 0;
// float* x1, x2, y1, y2;
// AA FILTER
// zeromem (coefficients, sizeof (coefficients));
mb->minBlepSize = (mb->zeroCrossings * 2 * mb->overSamplingRatio) + 1;
mb->ratio = 1;
mb->lastRatio = 1;
// createLowPass (ratio);
// resetFilters();
mb->blepIndex = 0;
mb->numActiveBleps = 0;
//currentActiveBlepOffsets;
mb->offset = (float*) mpool_alloc(sizeof(float) * mb->minBlepSize, m);
mb->freqMultiple = (float*) mpool_alloc(sizeof(float) * mb->minBlepSize, m);
mb->pos_change_magnitude = (float*) mpool_alloc(sizeof(float) * mb->minBlepSize, m);
mb->vel_change_magnitude = (float*) mpool_alloc(sizeof(float) * mb->minBlepSize, m);
mb->minBlepArray = (float*) mpool_alloc(sizeof(float) * mb->minBlepSize, m);
mb->minBlepDerivArray = (float*) mpool_alloc(sizeof(float) * mb->minBlepSize, m);
tMinBLEP_buildBLEP(minblep);
}
void tMinBLEP_freeFromPool (tMinBLEP* const minblep, tMempool* const mp)
{
_tMempool* m = *mp;
_tMinBLEP* mb = *minblep;
mpool_free(mb, m);
}
// SINC Function
static float SINC(float x)
{
float pix;
if(x == 0.0f)
return 1.0f;
else
{
pix = PI * x;
return sinf(pix) / pix;
}
}
// Generate Blackman Window
static void BlackmanWindow(int n, float *w)
{
int m = n - 1;
int i;
float f1, f2, fm;
fm = (float)m;
for(i = 0; i <= m; i++)
{
f1 = (2.0f * PI * (float)i) / fm;
f2 = 2.0f * f1;
w[i] = 0.42f - (0.5f * cosf(f1)) + (0.08f * cosf(f2));
}
}
// Discrete Fourier Transform
static void DFT(int n, float *realTime, float *imagTime, float *realFreq, float *imagFreq)
{
int k, i;
float sr, si, p;
for(k = 0; k < n; k++)
{
realFreq[k] = 0.0f;
imagFreq[k] = 0.0f;
}
for(k = 0; k < n; k++)
for(i = 0; i < n; i++)
{
p = (2.0f * PI * (float)(k * i)) / n;
sr = cosf(p);
si = -sinf(p);
realFreq[k] += (realTime[i] * sr) - (imagTime[i] * si);
imagFreq[k] += (realTime[i] * si) + (imagTime[i] * sr);
}
}
// Inverse Discrete Fourier Transform
static void InverseDFT(int n, float *realTime, float *imagTime, float *realFreq, float *imagFreq)
{
int k, i;
float sr, si, p;
for(k = 0; k < n; k++)
{
realTime[k] = 0.0f;
imagTime[k] = 0.0f;
}
for(k = 0; k < n; k++)
{
for(i = 0; i < n; i++)
{
p = (2.0f * PI * (float)(k * i)) / n;
sr = cosf(p);
si = -sinf(p);
realTime[k] += (realFreq[i] * sr) + (imagFreq[i] * si);
imagTime[k] += (realFreq[i] * si) - (imagFreq[i] * sr);
}
realTime[k] /= n;
imagTime[k] /= n;
}
}
// Complex Absolute Value
static float complexabs(float x, float y)
{
return sqrtf((x * x) + (y * y));
}
// Complex Exponential
static void complexexp(float x, float y, float *zx, float *zy)
{
float expx;
expx = expf(x);
*zx = expx * cosf(y);
*zy = expx * sinf(y);
}
// Compute Real Cepstrum Of Signal
static void RealCepstrum(int n, float *signal, float *realCepstrum)
{
int i;
float realTime[n];
float imagTime[n];
float realFreq[n];
float imagFreq[n];
// Compose Complex FFT Input
for(i = 0; i < n; i++)
{
realTime[i] = signal[i];
imagTime[i] = 0.0f;
}
// Perform DFT
DFT(n, realTime, imagTime, realFreq, imagFreq);
// Calculate Log Of Absolute Value
for(i = 0; i < n; i++)
{
realFreq[i] = logf(complexabs(realFreq[i], imagFreq[i]));
imagFreq[i] = 0.0f;
}
// Perform Inverse FFT
InverseDFT(n, realTime, imagTime, realFreq, imagFreq);
// Output Real Part Of FFT
for(i = 0; i < n; i++)
realCepstrum[i] = realTime[i];
}
// Compute Minimum Phase Reconstruction Of Signal
static void MinimumPhase(int n, float *realCepstrum, float *minimumPhase)
{
int i, nd2;
float realTime[n];
float imagTime[n];
float realFreq[n];
float imagFreq[n];
nd2 = n / 2;
if((n % 2) == 1)
{
realTime[0] = realCepstrum[0];
for(i = 1; i < nd2; i++)
realTime[i] = 2.0f * realCepstrum[i];
for(i = nd2; i < n; i++)
realTime[i] = 0.0f;
}
else
{
realTime[0] = realCepstrum[0];
for(i = 1; i < nd2; i++)
realTime[i] = 2.0f * realCepstrum[i];
realTime[nd2] = realCepstrum[nd2];
for(i = nd2 + 1; i < n; i++)
realTime[i] = 0.0f;
}
for(i = 0; i < n; i++)
imagTime[i] = 0.0f;
DFT(n, realTime, imagTime, realFreq, imagFreq);
for(i = 0; i < n; i++)
complexexp(realFreq[i], imagFreq[i], &realFreq[i], &imagFreq[i]);
InverseDFT(n, realTime, imagTime, realFreq, imagFreq);
for(i = 0; i < n; i++)
minimumPhase[i] = realTime[i];
}
// Generate the MinBLEP
void tMinBLEP_buildBLEP(tMinBLEP* const minblep)
{
_tMinBLEP* m = *minblep;
int i, n;
float r, a, b;
n = m->minBlepSize;
// Generate Sinc
a = -m->overSamplingRatio;
b = m->overSamplingRatio;
for(i = 0; i < n; i++)
{
r = ((float)i) / ((float)(n - 1));
m->minBlepArray[i] = SINC(a + (r * (b - a)));
m->minBlepDerivArray[i] = 0;
}
// Window Sinc
BlackmanWindow(n, m->minBlepDerivArray);
for(i = 0; i < n; i++)
m->minBlepArray[i] *= m->minBlepDerivArray[i];
// Minimum Phase Reconstruction
RealCepstrum(n, m->minBlepArray, m->minBlepDerivArray);
MinimumPhase(n, m->minBlepDerivArray, m->minBlepArray);
// Integrate Into MinBLEP
a = 0.0f;
float secondInt = 0.0f;
for(i = 0; i < n; i++)
{
a += m->minBlepArray[i];
m->minBlepArray[i] = a;
secondInt += a;
m->minBlepDerivArray[i] = secondInt;
}
// Normalize
a = m->minBlepArray[n - 1];
a = 1.0f / a;
b = 0.0f;
for(i = 0; i < n; i++)
{
m->minBlepArray[i] *= a;
b = fmaxf(b, m->minBlepDerivArray[i]);
}
// Normalize ...
b = 1.0f/b;
for (i = 0; i < n; i++)
{
m->minBlepDerivArray[i] *= b;
m->minBlepDerivArray[i] -= ((float)i) / ((float) n-1);
// SUBTRACT 1 and invert so the signal (so it goes 1->0)
m->minBlepArray[i] -= 1.0f;
m->minBlepArray[i] = -m->minBlepArray[i];
}
}
void tMinBLEP_addBLEP (tMinBLEP* const minblep, float offset, float posChange, float velChange)
{
_tMinBLEP* m = *minblep;
int n = m->minBlepSize;
m->offset[m->blepIndex] = offset;
m->freqMultiple[m->blepIndex] = m->overSamplingRatio*m->proportionalBlepFreq;
m->pos_change_magnitude[m->blepIndex] = posChange;
m->vel_change_magnitude[m->blepIndex] = velChange;
m->blepIndex++;
if (m->blepIndex >= n) m->blepIndex = 0;
m->numActiveBleps++;
}
float tMinBLEP_tick (tMinBLEP* const minblep, float input)
{
_tMinBLEP* m = *minblep;
// PROCESS ALL BLEPS -
/// for each offset, copy a portion of the blep array to the output ....
float sample = input;
int n = m->minBlepSize;
for (int blep = 1; blep <= m->numActiveBleps; blep++)
{
int i = (m->blepIndex - blep + n) % n;
float adjusted_Freq = m->freqMultiple[i];
float exactPosition = m->offset[i];
double blepPosExact = adjusted_Freq*(exactPosition + 1); // +1 because this needs to trigger on the LOW SAMPLE
double blepPosSample = 0;
double fraction = modf(blepPosExact, &blepPosSample);
// LIMIT the scaling on the derivative array
// otherwise, it can get TOO large
double depthLimited = m->proportionalBlepFreq; //jlimit<double>(.1, 1, proportionalBlepFreq);
double blepDeriv_PosExact = depthLimited*m->overSamplingRatio*(exactPosition + 1);
double blepDeriv_Sample = 0;
double fraction_Deriv = modf(blepDeriv_PosExact, &blepDeriv_Sample);
// DONE ... we reached the end ...
if (((int) blepPosExact > n) && ((int) blepDeriv_PosExact > n))
break;
// BLEP has not yet occurred ...
if (blepPosExact < 0)
continue;
// 0TH ORDER COMPENSATION ::::
/// add the BLEP to compensate for discontinuties in the POSITION
if ( fabs(m->pos_change_magnitude[i]) > 0 && blepPosSample < n)
{
// LINEAR INTERPOLATION ::::
float lowValue = m->minBlepArray[(int) blepPosSample];
float hiValue = lowValue;
if ((int) blepPosSample + 1 < n)
hiValue = m->minBlepArray[(int) blepPosSample + 1];
float delta = hiValue - lowValue;
float exactValue = lowValue + fraction*delta;
// SCALE by the discontinuity magnitude
exactValue *= m->pos_change_magnitude[i];
// ADD to the thruput
sample += exactValue;
}
// 1ST ORDER COMPENSATION ::::
/// add the BLEP DERIVATIVE to compensate for discontinuties in the VELOCITY
if ( fabs(m->vel_change_magnitude[i]) > 0 && blepDeriv_PosExact < n)
{
// LINEAR INTERPOLATION ::::
double lowValue = m->minBlepDerivArray[(int) blepDeriv_PosExact];
double hiValue = lowValue;
if ((int) blepDeriv_PosExact + 1 < n)
hiValue = m->minBlepDerivArray[(int) blepDeriv_PosExact + 1];
double delta = hiValue - lowValue;
double exactValue = lowValue + fraction_Deriv*delta;
// SCALE by the discontinuity magnitude`
exactValue *= m->vel_change_magnitude[i];
// ADD to the thruput
sample += exactValue;
}
// UPDATE ::::
m->offset[i] += 1.0f;
if (m->offset[i] * adjusted_Freq > n)
{
m->numActiveBleps--;
}
}
return sample;
}