shithub: leaf

Download patch

ref: dc28b7835f0d22d006ddd8c5ad918a344ba1da1d
parent: 4e40b211ed031504c54b7865975a264687cef32b
author: Matthew Wang <mjw7@princeton.edu>
date: Tue Jun 23 12:55:20 EDT 2020

replaced minblep implementation

--- a/TestPlugin/Source/MyTest.cpp
+++ b/TestPlugin/Source/MyTest.cpp
@@ -25,16 +25,13 @@
 
 tAutotune at;
 
-
-tMinBLEPTable minblep;
-
 tPhasor phasor;
 
 tHighpass hipass;
 
-tMBSaw saw;
-tMBPulse pulse;
-tMBTriangle tri;
+tMBSaw bsaw;
+tMBTriangle btri;
+tMBPulse bpulse;
 
 float gain;
 float freq;
@@ -45,7 +42,7 @@
 float y = 0.0f;
 float a, b, c, d;
 
-#define MSIZE 500000
+#define MSIZE 50000
 char memory[MSIZE];
 
 void    LEAFTest_init            (float sampleRate, int blockSize)
@@ -52,22 +49,9 @@
 {
     LEAF_init(sampleRate, blockSize, memory, MSIZE, &getRandomFloat);
     
-    int zeroCrossings = 16;
-    int overSamplingRatio = 32;
-    
-    tMinBLEPTable_init(&minblep, zeroCrossings, overSamplingRatio);
-    
-    tMBSaw_init(&saw, &minblep);
-    
-    tMBPulse_init(&pulse, &minblep);
-    
-    tMBTriangle_init(&tri, &minblep);
-    tMBTriangle_free(&tri);
-    tMBTriangle_init(&tri, &minblep);
-    
-    tPhasor_init(&phasor);
-    
-    tPhasor_setFreq(&phasor, 200);
+    tMBSaw_init(&bsaw);
+    tMBTriangle_init(&btri);
+    tMBPulse_init(&bpulse);
 }
 
 inline double getSawFall(double angle) {
@@ -81,22 +65,16 @@
 
 float   LEAFTest_tick            (float input)
 {
+    tMBSaw_setFreq(&bsaw, x);
+    tMBTriangle_setFreq(&btri, x);
+    tMBPulse_setFreq(&bpulse, x);
     
-    tMBSaw_setFreq(&saw, y);
-    tMBPulse_setWidth(&pulse, x);
-    tMBPulse_setFreq(&pulse, y);
-    tMBTriangle_setSkew(&tri, 0.0);//x*2.0f - 1.0f);
-    tMBTriangle_setFreq(&tri, y);
-    
-    tPhasor_tick(&phasor);
-    
-//    if (phasor->phaseDidReset) tMBSaw_sync(&saw, 0.0f);
-//    if (phasor->phaseDidReset) tMBPulse_sync(&pulse, 0.0f);
-//    if (phasor->phaseDidReset) tMBTriangle_sync(&tri, 0.0f);
-    
-    return tMBSaw_tick(&saw);
-//    return tMBPulse_tick(&pulse);
-//    return tMBTriangle_tick(&tri);
+    tMBTriangle_setWidth(&btri, y);
+    tMBPulse_setWidth(&bpulse, y);
+
+//    return tMBSaw_tick(&bsaw);
+//    return tMBTriangle_tick(&btri);
+    return tMBPulse_tick(&bpulse);
 }
 
 int firstFrame = 1;
@@ -112,7 +90,7 @@
     
     float val = getSliderValue("mod freq");
     
-    x = val ;
+    x = val * 20000.0f + 220.0f;
     
     //    a = val * tBuffer_getBufferLength(&buff);
     
@@ -120,8 +98,7 @@
     
     val = getSliderValue("mod depth");
     
-    y = val * 5000.0f + 20.0f;
-    
+    y = val * 2.0f - 1.0f;
     DBG(String(y));
     //    b = val * tBuffer_getBufferLength(&buff);
     
--- a/leaf/Inc/leaf-oscillators.h
+++ b/leaf/Inc/leaf-oscillators.h
@@ -790,261 +790,95 @@
     
     //==============================================================================
     
-    typedef struct _tMinBLEPTable
-    {
-        tMempool mempool;
-        float overSamplingRatio;
-        int zeroCrossings;
-        int size;
-        float* blepArray;
-        float* blepDerivArray;
-    } _tMinBLEPTable;
+#define FILLEN 256
     
-    typedef _tMinBLEPTable* tMinBLEPTable;
-    
-    void    tMinBLEPTable_init           (tMinBLEPTable* const minblep, int zeroCrossings, int oversamplerRatio);
-    void    tMinBLEPTable_initToPool     (tMinBLEPTable* const minblep, int zeroCrossings, int oversamplerRatio, tMempool* const pool);
-    void    tMinBLEPTable_free           (tMinBLEPTable* const minblep);
-    
-    typedef struct _tMinBLEPHandler
+    typedef struct _tMBPulse
     {
         tMempool mempool;
-        tMinBLEPTable table;
-        
-        float coeffs[6];
-        
-        // FilterState
-        float* x1, x2, y1, y2;
-        
-        float ratio, lastRatio;
-        
-        float lastValue;
-        float lastDelta; // previous derivative ...
-        
-        // Tweaking the Blep F
-        float proportionalBlepFreq;
-        uint8_t returnDerivative; // set this to return the FIRST DERIVATIVE of the blep (for first der. discontinuities)
-        
-        int blepIndex;
-        int numActiveBleps;
-        //currentActiveBlepOffsets;
-        float* offset;
-        float* freqMultiple;
-        float* pos_change_magnitude;
-        float* vel_change_magnitude;
-        
-        
-    } _tMinBLEPHandler;
+        float    out;
+        float    amp;
+        float    last_amp;
+        float    freq;
+        float    waveform;    // duty cycle, must be in [-1, 1]
+        float    syncin;
+        float    syncout;
+        float   _p, _w, _b, _x, _z;
+        float   _f [FILLEN + STEP_DD_PULSE_LENGTH];
+        int     _j, _k;
+        bool    _init;
+    } _tMBPulse;
     
-    typedef _tMinBLEPHandler* tMinBLEPHandler;
+    typedef _tMBPulse* tMBPulse;
     
-    void    tMinBLEPHandler_init           (tMinBLEPHandler* const minblep, tMinBLEPTable* const table);
-    void    tMinBLEPHandler_free           (tMinBLEPHandler* const minblep);
-    void    tMinBLEPHandler_initToPool     (tMinBLEPHandler* const minblep, tMinBLEPTable* const table, tMempool* const pool);
+    void tMBPulse_init(tMBPulse* const osc);
+    void tMBPulse_initToPool(tMBPulse* const osc, tMempool* const pool);
+    void tMBPulse_free(tMBPulse* const osc);
     
-    // pass in audio, identify discontinuities and return the audio with minbleps inserted
-    float   tMinBLEPHandler_tick           (tMinBLEPHandler* const minblep, float input);
-    void    tMinBLEPHandler_addBLEP        (tMinBLEPHandler* const minblep, float offset, float posChange, float velChange);
+    float tMBPulse_tick(tMBPulse* const osc);
+    void tMBPulse_setFreq(tMBPulse* const osc, float f);
+    void tMBPulse_setWidth(tMBPulse* const osc, float w);
+    void tMBPulse_syncIn(tMBPulse* const osc, float sync);
+    float tMBPulse_syncOut(tMBPulse* const osc);
     
-    //==============================================================================
     
-    /* tMBTriangle: Anti-aliased Triangle waveform using wavetable interpolation. */
     typedef struct _tMBTriangle
     {
         tMempool mempool;
-        
-        float phase;
-        float inc,freq;
-        float skew;
-        float lastOut;
-        
-        tMinBLEPHandler minBlep;
-        tHighpass dcBlock;
+        float    out;
+        float    amp;
+        float    last_amp;
+        float    freq;
+        float    waveform;    // duty cycle, must be in [-1, 1]
+        float    syncin;
+        float    syncout;
+        float   _p, _w, _b, _z;
+        float   _f [FILLEN + LONGEST_DD_PULSE_LENGTH];
+        int     _j, _k;
+        bool    _init;
     } _tMBTriangle;
     
     typedef _tMBTriangle* tMBTriangle;
     
-    /*!
-     * @defgroup tMBTriangle tMBTriangle
-     * @ingroup oscillators
-     * @brief An anti-aliased triangle waveform oscillator.
-     * @{
-     */
+    void tMBTriangle_init(tMBTriangle* const osc);
+    void tMBTriangle_initToPool(tMBTriangle* const osc, tMempool* const pool);
+    void tMBTriangle_free(tMBTriangle* const osc);
     
-    //! Initialize a tMBTriangle to the default LEAF mempool.
-    /*!
-     @param osc A pointer to the tMBTriangle to be initialized.
-     */
-    void    tMBTriangle_init          (tMBTriangle* const osc, tMinBLEPTable* const table);
+    float tMBTriangle_tick(tMBTriangle* const osc);
+    void tMBTriangle_setFreq(tMBTriangle* const osc, float f);
+    void tMBTriangle_setWidth(tMBTriangle* const osc, float w);
+    void tMBTriangle_syncIn(tMBTriangle* const osc, float sync);
+    float tMBTriangle_syncOut(tMBTriangle* const osc);
     
     
-    //! Initialize a tMBTriangle to a specified mempool.
-    /*!
-     @param osc A pointer to the tMBTriangle to be initialized.
-     @param pool A pointer to the tMempool to which the tMBTriangle should be initialized.
-     */
-    void    tMBTriangle_initToPool    (tMBTriangle* const osc, tMinBLEPTable* const table, tMempool* const pool);
-
     
-    //! Free a tMBTriangle from the default LEAF mempool.
-    /*!
-     @param osc A pointer to the tMBTriangle to be freed.
-     */
-    void    tMBTriangle_free          (tMBTriangle* const osc);
-    
-    
-    //! Tick a tMBTriangle oscillator.
-    /*!
-     @param osc A pointer to the relevant tMBTriangle.
-     @return The ticked sample as a float from -1 to 1.
-     */
-    float   tMBTriangle_tick          (tMBTriangle* const osc);
-    
-    
-    //! Set the frequency of a tMBTriangle oscillator.
-    /*!
-     @param osc A pointer to the relevant tMBTriangleangle.
-     @param freq The frequency to set the oscillator to.
-     */
-    void    tMBTriangle_setFreq       (tMBTriangle* const osc, float freq);
-    
-    void    tMBTriangle_setSkew       (tMBTriangle* const osc, float skew);
-    
-    void    tMBTriangle_sync          (tMBTriangle* const osc, float phase);
-    
-    /*! @} */
-    
-    //==============================================================================
-    
-    /* tMBPulse: Anti-aliased Square waveform. */
-    typedef struct _tMBPulse
-    {
-        tMempool mempool;
-        
-        float phase;
-        float inc,freq;
-        float width;
-        
-        tMinBLEPHandler minBlep;
-        tHighpass dcBlock;
-    } _tMBPulse;
-    
-    typedef _tMBPulse* tMBPulse;
-    
-    /*!
-     * @defgroup tMBPulse tMBPulse
-     * @ingroup oscillators
-     * @brief An anti-aliased pulse waveform oscillator with changeable pulse width.
-     * @{
-     */
-    
-    //! Initialize a tMBPulse to the default LEAF mempool.
-    /*!
-     @param osc A pointer to the tMBPulse to be initialized.
-     */
-    void    tMBPulse_init        (tMBPulse* const osc, tMinBLEPTable* const table);
-    
-    
-    //! Initialize a tMBPulse to a specified mempool.
-    /*!
-     @param osc A pointer to the tMBPulse to be initialized.
-     @param pool A pointer to the tMempool to which the tMBPulse should be initialized.
-     */
-    void    tMBPulse_initToPool  (tMBPulse* const osc, tMinBLEPTable* const table, tMempool* const);
-    
-    
-    //! Free a tMBPulse from the default LEAF mempool.
-    /*!
-     @param osc A pointer to the tMBPulse to be freed.
-     */
-    void    tMBPulse_free        (tMBPulse* const osc);
-    
-    
-    //! Tick a tMBPulse oscillator.
-    /*!
-     @param osc A pointer to the relevant tMBPulse.
-     @return The ticked sample as a float from -1 to 1.
-     */
-    float   tMBPulse_tick        (tMBPulse* const osc);
-    
-    
-    //! Set the frequency of a tMBPulse oscillator.
-    /*!
-     @param osc A pointer to the relevant tMBPulse.
-     @param freq The frequency to set the oscillator to.
-     */
-    void    tMBPulse_setFreq     (tMBPulse* const osc, float freq);
-    
-    void    tMBPulse_setWidth    (tMBPulse* const osc, float width);
-    
-    void    tMBPulse_sync          (tMBPulse* const osc, float phase);
-    
-    
-    /*! @} */
-    
-    //==============================================================================
-    
-    /* tMBSawtooth: Anti-aliased Sawtooth waveform. */
     typedef struct _tMBSaw
     {
         tMempool mempool;
-        
-        float phase;
-        float inc,freq;
-        
-        tMinBLEPHandler minBlep;
-        tHighpass dcBlock;
+        float    out;
+        float    amp;
+        float    last_amp;
+        float    freq;
+        float    syncin;
+        float    syncout;
+        float   _p, _w, _z;
+        float   _f [FILLEN + STEP_DD_PULSE_LENGTH];
+        int     _j;
+        bool    _init;
     } _tMBSaw;
     
     typedef _tMBSaw* tMBSaw;
     
-    /*!
-     * @defgroup tMBSaw tMBSaw
-     * @ingroup oscillators
-     * @brief An anti-aliased sawtooth waveform oscillator. Uses wavetable synthesis.
-     * @{
-     */
+    void tMBSaw_init(tMBSaw* const osc);
+    void tMBSaw_initToPool(tMBSaw* const osc, tMempool* const pool);
+    void tMBSaw_free(tMBSaw* const osc);
     
-    //! Initialize a tMBSaw to the default LEAF mempool.
-    /*!
-     @param osc A pointer to the tMBSaw to be initialized.
-     */
-    void    tMBSaw_init          (tMBSaw* const osc, tMinBLEPTable* const table);
+    float tMBSaw_tick(tMBSaw* const osc);
+    void tMBSaw_setFreq(tMBSaw* const osc, float f);
+    void tMBSaw_syncIn(tMBSaw* const osc, float sync);
+    float tMBSaw_syncOut(tMBSaw* const osc);
     
     
-    //! Initialize a tMBSaw to a specified mempool.
-    /*!
-     @param osc A pointer to the tMBSaw to be initialized.
-     @param pool A pointer to the tMempool to which the tMBSaw should be initialized.
-     */
-    void    tMBSaw_initToPool    (tMBSaw* const osc, tMinBLEPTable* const table, tMempool* const pool);
     
-    
-    //! Free a tMBSaw from the default LEAF mempool.
-    /*!
-     @param osc A pointer to the tMBSaw to be freed.
-     */
-    void    tMBSaw_free          (tMBSaw* const osc);
-    
-    
-    //! Tick a tMBSaw oscillator.
-    /*!
-     @param osc A pointer to the relevant tMBSaw.
-     @return The ticked sample as a float from -1 to 1.
-     */
-    float   tMBSaw_tick          (tMBSaw* const osc);
-    
-    
-    //! Set the frequency of a tMBSaw oscillator.
-    /*!
-     @param osc A pointer to the relevant tMBSaw.
-     @param freq The frequency to set the oscillator to.
-     */
-    void    tMBSaw_setFreq       (tMBSaw* const osc, float freq);
-    
-    void    tMBSaw_sync          (tMBSaw* const osc, float phase);
-    
-    /*! @} */
     
 #ifdef __cplusplus
 }
--- a/leaf/Inc/leaf-tables.h
+++ b/leaf/Inc/leaf-tables.h
@@ -1,11 +1,11 @@
 /*==============================================================================
+ 
+ leaf-tables.h
+ Created: 4 Dec 2016 9:42:41pm
+ Author:  Michael R Mulshine
+ 
+ ==============================================================================*/
 
-    leaf-tables.h
-    Created: 4 Dec 2016 9:42:41pm
-    Author:  Michael R Mulshine
-
-==============================================================================*/
-
 #ifndef LEAF_TABLES_H_INCLUDED
 #define LEAF_TABLES_H_INCLUDED
 
@@ -13,12 +13,12 @@
 extern "C" {
 #endif
     
-//==============================================================================
-
+    //==============================================================================
+    
 #include "leaf-math.h"
-
-//==============================================================================
-
+    
+    //==============================================================================
+    
 #define USE_SAWTOOTH_TABLE 1
 #define USE_SQUARE_TABLE 1
 #define USE_TRIANGLE_TABLE 1
@@ -37,65 +37,90 @@
 #define FILTERTAN_TABLE_SIZE 4096
     
 #define SHAPER1_TABLE_SIZE 65536
-extern const float __leaf_table_shaper1[SHAPER1_TABLE_SIZE];
+    extern const float __leaf_table_shaper1[SHAPER1_TABLE_SIZE];
     
 #define COEFFS_SIZE 32
-extern const float* __leaf_tableref_firCoeffs[COEFFS_SIZE];
-extern const float __leaf_tablesize_firNumTaps[COEFFS_SIZE];
-extern const float __leaf_table_fir2XLow[32];
-extern const float __leaf_table_fir4XLow[64];
-extern const float __leaf_table_fir8XLow[64];
-extern const float __leaf_table_fir16XLow[128];
-extern const float __leaf_table_fir32XLow[256];
-extern const float __leaf_table_fir64XLow[256];
-extern const float __leaf_table_fir2XHigh[128];
-extern const float __leaf_table_fir4XHigh[256];
-extern const float __leaf_table_fir8XHigh[256];
-extern const float __leaf_table_fir16XHigh[512];
-extern const float __leaf_table_fir32XHigh[512];
-extern const float __leaf_table_fir64XHigh[1024];
-
-typedef enum TableName
-{
-    T20 = 0,
-    T40,
-    T80,
-    T160,
-    T320,
-    T640,
-    T1280,
-    T2560,
-    T5120,
-    T10240,
-    T20480,
-    TableNameNil
-} TableName;
-
-// mtof lookup table based on input range [0.0,1.0) in 4096 increments - midi frequency values scaled between m25 and m134 (from the Snyderphonics DrumBox code)
-
-extern const float __leaf_table_exp_decay[EXP_DECAY_TABLE_SIZE];
-extern const float __leaf_table_attack_decay_inc[ATTACK_DECAY_INC_TABLE_SIZE];
-
-extern const float __leaf_table_filtertan[FILTERTAN_TABLE_SIZE];
-
-extern const float __leaf_table_mtof1[MTOF1_TABLE_SIZE];
-extern const float __leaf_table_decayCoeffTable[DECAY_COEFF_TABLE_SIZE];
-
-extern const float __leaf_table_tanh1[TANH1_TABLE_SIZE];
-
-//==============================================================================
-
-/* Sine wave table ripped from http://aquaticus.info/pwm-sine-wave. */
-extern const float __leaf_table_sinewave[SINE_TABLE_SIZE];
-
-extern const float __leaf_table_sawtooth[11][SAW_TABLE_SIZE];
-
-extern const float __leaf_table_triangle[11][TRI_TABLE_SIZE];
-
-extern const float __leaf_table_squarewave[11][SQR_TABLE_SIZE];
-
-//==============================================================================
+    extern const float* __leaf_tableref_firCoeffs[COEFFS_SIZE];
+    extern const float __leaf_tablesize_firNumTaps[COEFFS_SIZE];
+    extern const float __leaf_table_fir2XLow[32];
+    extern const float __leaf_table_fir4XLow[64];
+    extern const float __leaf_table_fir8XLow[64];
+    extern const float __leaf_table_fir16XLow[128];
+    extern const float __leaf_table_fir32XLow[256];
+    extern const float __leaf_table_fir64XLow[256];
+    extern const float __leaf_table_fir2XHigh[128];
+    extern const float __leaf_table_fir4XHigh[256];
+    extern const float __leaf_table_fir8XHigh[256];
+    extern const float __leaf_table_fir16XHigh[512];
+    extern const float __leaf_table_fir32XHigh[512];
+    extern const float __leaf_table_fir64XHigh[1024];
     
+    typedef enum TableName
+    {
+        T20 = 0,
+        T40,
+        T80,
+        T160,
+        T320,
+        T640,
+        T1280,
+        T2560,
+        T5120,
+        T10240,
+        T20480,
+        TableNameNil
+    } TableName;
+    
+    // mtof lookup table based on input range [0.0,1.0) in 4096 increments - midi frequency values scaled between m25 and m134 (from the Snyderphonics DrumBox code)
+    
+    extern const float __leaf_table_exp_decay[EXP_DECAY_TABLE_SIZE];
+    extern const float __leaf_table_attack_decay_inc[ATTACK_DECAY_INC_TABLE_SIZE];
+    
+    extern const float __leaf_table_filtertan[FILTERTAN_TABLE_SIZE];
+    
+    extern const float __leaf_table_mtof1[MTOF1_TABLE_SIZE];
+    extern const float __leaf_table_decayCoeffTable[DECAY_COEFF_TABLE_SIZE];
+    
+    extern const float __leaf_table_tanh1[TANH1_TABLE_SIZE];
+    
+    //==============================================================================
+    
+    /* Sine wave table ripped from http://aquaticus.info/pwm-sine-wave. */
+    extern const float __leaf_table_sinewave[SINE_TABLE_SIZE];
+    
+    extern const float __leaf_table_sawtooth[11][SAW_TABLE_SIZE];
+    
+    extern const float __leaf_table_triangle[11][TRI_TABLE_SIZE];
+    
+    extern const float __leaf_table_squarewave[11][SQR_TABLE_SIZE];
+    
+    //==============================================================================
+    
+    
+    // From https://github.com/MrBlueXav/Dekrispator_v2 minblep_tables.h
+    
+    /* minBLEP constants */
+    /* minBLEP table oversampling factor (must be a power of two): */
+#define MINBLEP_PHASES          64
+    /* MINBLEP_PHASES minus one: */
+#define MINBLEP_PHASE_MASK      63
+    /* length in samples of (truncated) step discontinuity delta: */
+#define STEP_DD_PULSE_LENGTH    72
+    /* length in samples of (truncated) slope discontinuity delta: */
+#define SLOPE_DD_PULSE_LENGTH   71
+    /* the longer of the two above: */
+#define LONGEST_DD_PULSE_LENGTH STEP_DD_PULSE_LENGTH
+    /* delay between start of DD pulse and the discontinuity, in samples: */
+#define DD_SAMPLE_DELAY          4
+    
+    typedef struct { float value, delta; } float_value_delta;
+    
+    /* in minblep_tables.c: */
+    extern const float_value_delta step_dd_table[];
+    extern const float             slope_dd_table[];
+    
+    //==============================================================================
+    
 #ifdef __cplusplus
 }
 #endif
@@ -103,3 +128,4 @@
 #endif  // LEAF_TABLES_H_INCLUDED
 
 //==============================================================================
+
--- a/leaf/Src/leaf-oscillators.c
+++ b/leaf/Src/leaf-oscillators.c
@@ -869,735 +869,599 @@
 
 /// MINBLEPS
 
-// SINC Function
-static float SINC(float x)
+// https://github.com/MrBlueXav/Dekrispator_v2 blepvco.c
+
+
+static void place_step_dd(float *buffer, int index, float phase, float w, float scale)
 {
-    float pix;
+    float r;
+    int i;
     
-    if(x == 0.0f)
-        return 1.0f;
-    else
-    {
-        pix = PI * x;
-        return sinf(pix) / pix;
+    r = MINBLEP_PHASES * phase / w;
+    i = rintf(r - 0.5f);
+    r -= (float)i;
+    i &= MINBLEP_PHASE_MASK;  /* extreme modulation can cause i to be out-of-range */
+    /* this would be better than the above, but more expensive:
+     *  while (i < 0) {
+     *    i += MINBLEP_PHASES;
+     *    index++;
+     *  }
+     */
+    
+    while (i < MINBLEP_PHASES * STEP_DD_PULSE_LENGTH) {
+        buffer[index] += scale * (step_dd_table[i].value + r * step_dd_table[i].delta);
+        i += MINBLEP_PHASES;
+        index++;
     }
 }
+//----------------------------------------------------------------------------------------------------------
 
-// Generate Blackman Window
-static void BlackmanWindow(int n, float *w)
+static void place_slope_dd(float *buffer, int index, float phase, float w, float slope_delta)
 {
-    int m = n - 1;
+    float r;
     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));
+    r = MINBLEP_PHASES * phase / w;
+    i = rintf(r - 0.5f);
+    r -= (float)i;
+    i &= MINBLEP_PHASE_MASK;  /* extreme modulation can cause i to be out-of-range */
+    
+    slope_delta *= w;
+    
+    while (i < MINBLEP_PHASES * SLOPE_DD_PULSE_LENGTH) {
+        buffer[index] += slope_delta * (slope_dd_table[i] + r * (slope_dd_table[i + 1] - slope_dd_table[i]));
+        i += MINBLEP_PHASES;
+        index++;
     }
 }
+//----------------------------------------------------------------------------------------------------------
 
-// Discrete Fourier Transform
-static void DFT(int n, float *realTime, float *imagTime, float *realFreq, float *imagFreq)
+void tMBPulse_init(tMBPulse* const osc)
 {
-    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);
-        }
+    tMBPulse_initToPool(osc, &leaf.mempool);
 }
-
-// Inverse Discrete Fourier Transform
-static void InverseDFT(int n, float *realTime, float *imagTime, float *realFreq, float *imagFreq)
+                          
+void tMBPulse_initToPool(tMBPulse* const osc, tMempool* const pool)
 {
-    int k, i;
-    float sr, si, p;
+    _tMempool* m = *pool;
+    _tMBPulse* c = *osc = (_tMBPulse*) mpool_alloc(sizeof(_tMBPulse), m);
+    c->mempool = m;
     
-    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;
-    }
+    c->_init = true;
+    c->amp = 1.0f;
+    c->freq = 440.f;
+    c->syncin = 0.0f;
+    c->waveform = 0.0f;
+    c->_z = 0.0f;
+    c->_j = 0;
+    memset (c->_f, 0, (FILLEN + STEP_DD_PULSE_LENGTH) * sizeof (float));
 }
 
-// Complex Absolute Value
-static float complexabs(float x, float y)
+void tMBPulse_free(tMBPulse* const osc)
 {
-    return sqrtf((x * x) + (y * y));
+    _tMBPulse* c = *osc;
+    mpool_free((char*)c, c->mempool);
 }
 
-// Complex Exponential
-static void complexexp(float x, float y, float *zx, float *zy)
+float tMBPulse_tick(tMBPulse* const osc)
 {
-    float expx;
+    _tMBPulse* c = *osc;
     
-    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, float* realTime, float* imagTime, float* realFreq, float* imagFreq)
-{
-    int i;
+    int    j, k;
+    float  freq, syncin;
+    float  a, b, db, p, t, w, dw, x, z;
     
-    // Compose Complex FFT Input
-    
-    for(i = 0; i < n; i++)
-    {
-        realTime[i] = signal[i];
-        imagTime[i] = 0.0f;
+    syncin  = c->syncin;
+    freq = c->freq;
+    p = c->_p;  /* phase [0, 1) */
+    w = c->_w;  /* phase increment */
+    b = c->_b;  /* duty cycle (0, 1) */
+    x = c->_x;  /* temporary output variable */
+    z = c->_z;  /* low pass filter state */
+    j = c->_j;  /* index into buffer _f */
+    k = c->_k;  /* output state, 0 = high (0.5f), 1 = low (-0.5f) */
+    //
+    if (c->_init) {
+        p = 0.0f;
+        
+        w = freq / leaf.sampleRate;
+        if (w < 1e-5) w = 1e-5;
+        if (w > 0.5) w = 0.5;
+        b = 0.5 * (1.0 + c->waveform );
+        if (b < w) b = w;
+        if (b > 1.0f - w) b = 1.0f - w;
+        /* for variable-width rectangular wave, we could do DC compensation with:
+         *     x = 1.0f - b;
+         * but that doesn't work well with highly modulated hard sync.  Instead,
+         * we keep things in the range [-0.5f, 0.5f]. */
+        x = 0.5f;
+        /* if we valued alias-free startup over low startup time, we could do:
+         *   p -= w;
+         *   place_step_dd(_f, j, 0.0f, w, 0.5f); */
+        k = 0;
+        c->_init = false;
     }
+    //
+    //    a = 0.2 + 0.8 * vco->_port [FILT];
+    a = 0.5f; // when a = 1, LPfilter is disabled
     
-    // Perform DFT
+    t = freq / leaf.sampleRate;
+    if (t < 1e-5) t = 1e-5;
+    if (t > 0.5) t = 0.5;
+    dw = (t - w) ;
+    t = 0.5 * (1.0 + c->waveform );
+    if (t < w) t = w;
+    if (t > 1.0f - w) t = 1.0f - w;
+    db = (t - b) ;
     
-    DFT(n, realTime, imagTime, realFreq, imagFreq);
+    w += dw;
+    b += db;
+    p += w;
     
-    // Calculate Log Of Absolute Value
+    if (syncin >= 1e-20f) {  /* sync to master */
+        //
+        float eof_offset = (syncin - 1e-20f) * w;
+        float p_at_reset = p - eof_offset;
+        p = eof_offset;
+        
+        /* place any DDs that may have occurred in subsample before reset */
+        if (!k) {
+            if (p_at_reset >= b) {
+                place_step_dd(c->_f, j, p_at_reset - b + eof_offset, w, -1.0f);
+                k = 1;
+                x = -0.5f;
+            }
+            if (p_at_reset >= 1.0f) {
+                p_at_reset -= 1.0f;
+                place_step_dd(c->_f, j, p_at_reset + eof_offset, w, 1.0f);
+                k = 0;
+                x = 0.5f;
+            }
+        } else {
+            if (p_at_reset >= 1.0f) {
+                p_at_reset -= 1.0f;
+                place_step_dd(c->_f, j, p_at_reset + eof_offset, w, 1.0f);
+                k = 0;
+                x = 0.5f;
+            }
+            if (!k && p_at_reset >= b) {
+                place_step_dd(c->_f, j, p_at_reset - b + eof_offset, w, -1.0f);
+                k = 1;
+                x = -0.5f;
+            }
+        }
+        
+        /* now place reset DD */
+        if (k) {
+            place_step_dd(c->_f, j, p, w, 1.0f);
+            k = 0;
+            x = 0.5f;
+        }
+        if (p >= b) {
+            place_step_dd(c->_f, j, p - b, w, -1.0f);
+            k = 1;
+            x = -0.5f;
+        }
+        
+        c->syncout = syncin;  /* best we can do is pass on upstream sync */
+        
+    } else if (!k) {  /* normal operation, signal currently high */
+        
+        if (p >= b) {
+            place_step_dd(c->_f, j, p - b, w, -1.0f);
+            k = 1;
+            x = -0.5f;
+        }
+        if (p >= 1.0f) {
+            p -= 1.0f;
+            c->syncout = p / w + 1e-20f;
+            place_step_dd(c->_f, j, p, w, 1.0f);
+            k = 0;
+            x = 0.5f;
+        } else {
+            c->syncout = 0.0f;
+        }
+        
+    } else {  /* normal operation, signal currently low */
+        
+        if (p >= 1.0f) {
+            p -= 1.0f;
+            c->syncout = p / w + 1e-20f;
+            place_step_dd(c->_f, j, p, w, 1.0f);
+            k = 0;
+            x = 0.5f;
+        } else {
+            c->syncout = 0.0f;
+        }
+        if (!k && p >= b) {
+            place_step_dd(c->_f, j, p - b, w, -1.0f);
+            k = 1;
+            x = -0.5f;
+        }
+    }
+    c->_f[j + DD_SAMPLE_DELAY] += x;
     
-    for(i = 0; i < n; i++)
+    z += a * (c->_f[j] - z);
+    c->out = c->amp * z;
+    
+    if (++j == FILLEN)
     {
-        realFreq[i] = logf(complexabs(realFreq[i], imagFreq[i]));
-        imagFreq[i] = 0.0f;
+        j = 0;
+        memcpy (c->_f, c->_f + FILLEN, STEP_DD_PULSE_LENGTH * sizeof (float));
+        memset (c->_f + STEP_DD_PULSE_LENGTH, 0,  FILLEN * sizeof (float));
     }
     
-    // Perform Inverse FFT
+    c->_p = p;
+    c->_w = w;
+    c->_b = b;
+    c->_x = x;
+    c->_z = z;
+    c->_j = j;
+    c->_k = k;
     
-    InverseDFT(n, realTime, imagTime, realFreq, imagFreq);
-    
-    // Output Real Part Of FFT
-    for(i = 0; i < n; i++)
-        realCepstrum[i] = realTime[i];
+    return c->out;
 }
 
-// Compute Minimum Phase Reconstruction Of Signal
-static void MinimumPhase(int n, float *realCepstrum, float *minimumPhase, float* realTime, float* imagTime, float* realFreq, float* imagFreq)
+void tMBPulse_setFreq(tMBPulse* const osc, float f)
 {
-    int i, nd2;
-    
-    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];
+    _tMBPulse* c = *osc;
+    c->freq = f;
 }
 
-
-// good values for this are:
-// zeroCrossings = 16
-// oversamplerRatio = 32 (or 64 for slightly better antialiasing, but higher memory usage)
-void tMinBLEPTable_init (tMinBLEPTable* const minblep, int zeroCrossings, int oversamplerRatio)
+void tMBPulse_setWidth(tMBPulse* const osc, float w)
 {
-    tMinBLEPTable_initToPool(minblep, zeroCrossings, oversamplerRatio, &leaf.mempool);
+    _tMBPulse* c = *osc;
+    c->waveform = w;
 }
 
-void tMinBLEPTable_initToPool (tMinBLEPTable* const minblep, int zeroCrossings, int overSamplingRatio, tMempool* const pool)
+void tMBPulse_syncIn(tMBPulse* const osc, float sync)
 {
-    _tMempool* mp = *pool;
-    _tMinBLEPTable* m = *minblep = (_tMinBLEPTable*) mpool_alloc(sizeof(_tMinBLEPTable), mp);
-    m->mempool = mp;
-    m->zeroCrossings = zeroCrossings;
-    m->overSamplingRatio = overSamplingRatio;
-    m->size = (zeroCrossings * 2 * overSamplingRatio) + 1;
-    
-    m->blepArray = (float*) mpool_alloc(sizeof(float) * m->size, mp);
-    m->blepDerivArray = (float*) mpool_alloc(sizeof(float) * m->size, mp);
-    
-    float* processBuf[4];
-    
-    processBuf[0] = (float*) mpool_alloc(sizeof(float) * m->size, mp);
-    processBuf[1] = (float*) mpool_alloc(sizeof(float) * m->size, mp);
-    processBuf[2] = (float*) mpool_alloc(sizeof(float) * m->size, mp);
-    processBuf[3] = (float*) mpool_alloc(sizeof(float) * m->size, mp);
-    
-    int i, n;
-    float r, a, b;
-    
-    n = (m->zeroCrossings * 2 * m->overSamplingRatio) + 1;
-    
-    // Generate Sinc
-    
-    a = -m->overSamplingRatio;
-    b = m->overSamplingRatio;
-    for(i = 0; i < n; i++)
-    {
-        r = ((float)i) / ((float)(n - 1));
-        m->blepArray[i] = SINC(a + (r * (b - a)));
-        m->blepDerivArray[i] = 0;
-    }
-    
-    // Window Sinc
-    
-    BlackmanWindow(n, m->blepDerivArray);
-    for(i = 0; i < n; i++)
-        m->blepArray[i] *= m->blepDerivArray[i];
-    
-    // Minimum Phase Reconstruction
-    
-    RealCepstrum(n, m->blepArray, m->blepDerivArray, processBuf[0], processBuf[1], processBuf[2], processBuf[3]);
-    MinimumPhase(n, m->blepDerivArray, m->blepArray, processBuf[0], processBuf[1], processBuf[2], processBuf[3]);
-    
-    mpool_free((char*)processBuf[0], mp);
-    mpool_free((char*)processBuf[1], mp);
-    mpool_free((char*)processBuf[2], mp);
-    mpool_free((char*)processBuf[3], mp);
-    
-    // Integrate Into MinBLEP
-    a = 0.0f;
-    float secondInt = 0.0f;
-    for(i = 0; i < n; i++)
-    {
-        a += m->blepArray[i];
-        m->blepArray[i] = a;
-        
-        secondInt += a;
-        m->blepDerivArray[i] = secondInt;
-    }
-    
-    // Normalize
-    a = m->blepArray[n - 1];
-    a = 1.0f / a;
-    b = 0.0f;
-    for(i = 0; i < n; i++)
-    {
-        m->blepArray[i] *= a;
-        b = fmaxf(b, m->blepDerivArray[i]);
-    }
-    
-    // Normalize ...
-    b = 1.0f/b;
-    for (i = 0; i < n; i++)
-    {
-        m->blepDerivArray[i] *= b;
-        m->blepDerivArray[i] -= ((float)i) / ((float) n-1);
-        
-        // SUBTRACT 1 and invert so the signal (so it goes 1->0)
-        m->blepArray[i] -= 1.0f;
-        m->blepArray[i] = -m->blepArray[i];
-    }
-    
+    _tMBPulse* c = *osc;
+    c->syncin = sync;
 }
 
-void tMinBLEPTable_free (tMinBLEPTable* const minblep)
+float tMBPulse_syncOut(tMBPulse* const osc)
 {
-    _tMinBLEPTable* m = *minblep;
-    
-    mpool_free((char*)m->blepArray, m->mempool);
-    mpool_free((char*)m->blepDerivArray, m->mempool);
-    mpool_free((char*)m, m->mempool);
+    _tMBPulse* c = *osc;
+    return c->syncout;
 }
 
+//----------------------------------------------------------------------------------------------------------
 
-void    tMinBLEPHandler_init           (tMinBLEPHandler* const minblep, tMinBLEPTable* const table)
+void tMBTriangle_init(tMBTriangle* const osc)
 {
-    tMinBLEPHandler_initToPool(minblep, table, &leaf.mempool);
+    tMBTriangle_initToPool(osc, &leaf.mempool);
 }
 
-void    tMinBLEPHandler_initToPool     (tMinBLEPHandler* const minblep, tMinBLEPTable* const table, tMempool* const mp)
+void tMBTriangle_initToPool(tMBTriangle* const osc, tMempool* const pool)
 {
-    _tMempool* m = *mp;
-    _tMinBLEPHandler* mb = *minblep = (_tMinBLEPHandler*) mpool_alloc(sizeof(_tMinBLEPHandler), m);
-    _tMinBLEPTable* t = *table;
+    _tMempool* m = *pool;
+    _tMBTriangle* c = *osc = (_tMBTriangle*) mpool_alloc(sizeof(_tMBTriangle), m);
+    c->mempool = m;
     
-    mb->mempool = m;
-    mb->table = t;
-    mb->returnDerivative = 0;
-    mb->proportionalBlepFreq = (float) t->zeroCrossings / (float) t->overSamplingRatio; // defaults to NyQuist ....
-    
-    mb->lastValue = 0;
-    mb->lastDelta = 0;
-    
-//     float* x1, x2, y1, y2;
-    // AA FILTER
-//    zeromem (coefficients, sizeof (coefficients));
-    
-    mb->ratio = 1;
-    mb->lastRatio = 1;
-    
-//    createLowPass (ratio);
-//    resetFilters();
-    
-    mb->blepIndex = 0;
-    mb->numActiveBleps = 0;
-    //currentActiveBlepOffsets;
-    
-    // These probably don't need to be this large
-    mb->offset = (float*) mpool_alloc(sizeof(float) * t->size, m);
-//    mb->freqMultiple = (float*) mpool_alloc(sizeof(float) * mb->minBlepSize, m);
-    mb->pos_change_magnitude = (float*) mpool_alloc(sizeof(float) * t->size, m);
-    mb->vel_change_magnitude = (float*) mpool_alloc(sizeof(float) * t->size, m);
+    c->amp = 1.0f;
+    c->freq = 440.f;
+    c->syncin = 0.0f;
+    c->waveform = 0.0f;
+    c->_init = true;
+    c->_z = 0.0f;
+    c->_j = 0;
+    memset (c->_f, 0, (FILLEN + STEP_DD_PULSE_LENGTH) * sizeof (float));
 }
 
-void    tMinBLEPHandler_free           (tMinBLEPHandler* const minblep)
+void tMBTriangle_free(tMBTriangle* const osc)
 {
-    _tMinBLEPHandler* mb = *minblep;
-    
-    mpool_free((char*)mb->offset, mb->mempool);
-    //    mpool_free(mb->freqMultiple, m);
-    mpool_free((char*)mb->pos_change_magnitude, mb->mempool);
-    mpool_free((char*)mb->vel_change_magnitude, mb->mempool);
-    
-    mpool_free((char*)mb, mb->mempool);
+    _tMBTriangle* c = *osc;
+    mpool_free((char*)c, c->mempool);
 }
 
-void    tMinBLEPHandler_addBLEP        (tMinBLEPHandler* const minblep, float offset, float posChange, float velChange)
+float tMBTriangle_tick(tMBTriangle* const osc)
 {
-    _tMinBLEPHandler* m = *minblep;
+    _tMBTriangle* c = *osc;
     
-    int n = m->table->size;
+    int    j, k;
+    float  freq, syncin;
+    float  a, b, b1, db, p, t, w, dw, x, z;
     
-    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;
+    syncin  = c->syncin;
+    freq = c->freq;
+    p = c->_p;  /* phase [0, 1) */
+    w = c->_w;  /* phase increment */
+    b = c->_b;  /* duty cycle (0, 1) */
+    z = c->_z;  /* low pass filter state */
+    j = c->_j;  /* index into buffer _f */
+    k = c->_k;  /* output state, 0 = positive slope, 1 = negative slope */
+    
+    if (c->_init) {
+        //        w = (exp2ap (freq[1] + vco->_port[OCTN] + vco->_port[TUNE] + expm[1] * vco->_port[EXPG] + 8.03136)
+        //                + 1e3 * linm[1] * vco->_port[LING]) / SAMPLERATE;
+        w = freq / leaf.sampleRate;
+        if (w < 1e-5) w = 1e-5;
+        if (w > 0.5) w = 0.5;
+        b = 0.5 * (1.0 + c->waveform);
+        if (b < w) b = w;
+        if (b > 1.0f - w) b = 1.0f - w;
+        p = 0.5f * b;
+        /* if we valued alias-free startup over low startup time, we could do:
+         *   p -= w;
+         *   place_slope_dd(_f, j, 0.0f, w, 1.0f / b); */
+        k = 0;
+        c->_init = false;
+    }
     
-    m->blepIndex++;
-    if (m->blepIndex >= n) m->blepIndex = 0;
+    //    a = 0.2 + 0.8 * vco->_port [FILT];
+    a = 0.5f; // when a = 1, LPfilter is disabled
     
-    m->numActiveBleps++;
-}
-
-float tMinBLEPHandler_tick (tMinBLEPHandler* const minblep, float input)
-{
-    _tMinBLEPHandler* m = *minblep;
-    // PROCESS ALL BLEPS -
-    /// for each offset, copy a portion of the blep array to the output ....
+    t = freq / leaf.sampleRate;
+    if (t < 1e-5) t = 1e-5;
+    if (t > 0.5) t = 0.5;
+    dw = (t - w) ;
+    t = 0.5 * (1.0 + c->waveform );
+    if (t < w) t = w;
+    if (t > 1.0f - w) t = 1.0f - w;
+    db = (t - b) ;
     
-    float sample = input;
+    w += dw;
+    b += db;
+    b1 = 1.0f - b;
+    p += w;
     
-    int n = m->table->size;
-
-    for (int blep = 1; blep <= m->numActiveBleps; blep++)
-    {
-        int i = (m->blepIndex - blep + n) % n;
-        float adjusted_Freq = m->table->overSamplingRatio*m->proportionalBlepFreq;//m->freqMultiple[i];
-        float exactPosition = m->offset[i];
+    if (syncin >= 1e-20f) {  /* sync to master */
         
-        float blepPosExact = adjusted_Freq*(exactPosition + 1); // +1 because this needs to trigger on the LOW SAMPLE
-        float blepPosSample = 0;
-        float fraction = modff(blepPosExact, &blepPosSample);
+        float eof_offset = (syncin - 1e-20f) * w;
+        float p_at_reset = p - eof_offset;
+        p = eof_offset;
+        //
+        /* place any DDs that may have occurred in subsample before reset */
+        if (!k) {
+            x = -0.5f + p_at_reset / b;
+            if (p_at_reset >= b) {
+                x = 0.5f - (p_at_reset - b) / b1;
+                place_slope_dd(c->_f, j, p_at_reset - b + eof_offset, w, -1.0f / b1 - 1.0f / b);
+                k = 1;
+            }
+            if (p_at_reset >= 1.0f) {
+                p_at_reset -= 1.0f;
+                x = -0.5f + p_at_reset / b;
+                place_slope_dd(c->_f, j, p_at_reset + eof_offset, w, 1.0f / b + 1.0f / b1);
+                k = 0;
+            }
+        } else {
+            x = 0.5f - (p_at_reset - b) / b1;
+            if (p_at_reset >= 1.0f) {
+                p_at_reset -= 1.0f;
+                x = -0.5f + p_at_reset / b;
+                place_slope_dd(c->_f, j, p_at_reset + eof_offset, w, 1.0f / b + 1.0f / b1);
+                k = 0;
+            }
+            if (!k && p_at_reset >= b) {
+                x = 0.5f - (p_at_reset - b) / b1;
+                place_slope_dd(c->_f, j, p_at_reset - b + eof_offset, w, -1.0f / b1 - 1.0f / b);
+                k = 1;
+            }
+        }
         
-        // LIMIT the scaling on the derivative array
-        // otherwise, it can get TOO large
-        float depthLimited = m->proportionalBlepFreq; //jlimit<double>(.1, 1, proportionalBlepFreq);
-        float blepDeriv_PosExact = depthLimited*m->table->overSamplingRatio*(exactPosition + 1);
-        float blepDeriv_Sample = 0;
-        float fraction_Deriv = modff(blepDeriv_PosExact, &blepDeriv_Sample);
+        /* now place reset DDs */
+        if (k)
+            place_slope_dd(c->_f, j, p, w, 1.0f / b + 1.0f / b1);
+        place_step_dd(c->_f, j, p, w, -0.5f - x);
+        x = -0.5f + p / b;
+        k = 0;
+        if (p >= b) {
+            x = 0.5f - (p - b) / b1;
+            place_slope_dd(c->_f, j, p - b, w, -1.0f / b1 - 1.0f / b);
+            k = 1;
+        }
+        c->syncout = syncin;  /* best we can do is pass on upstream sync */
         
+    } else if (!k) {  /* normal operation, slope currently up */
         
-        // 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->table->blepArray[(int) blepPosSample];
-            float hiValue = lowValue;
-            
-            if ((int) blepPosSample + 1 < n)
-                hiValue = m->table->blepArray[(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;
+        x = -0.5f + p / b;
+        if (p >= b) {
+            x = 0.5f - (p - b) / b1;
+            place_slope_dd(c->_f, j, p - b, w, -1.0f / b1 - 1.0f / b);
+            k = 1;
         }
+        if (p >= 1.0f) {
+            p -= 1.0f;
+            c->syncout = p / w + 1e-20f;
+            x = -0.5f + p / b;
+            place_slope_dd(c->_f, j, p, w, 1.0f / b + 1.0f / b1);
+            k = 0;
+        } else {
+            c->syncout = 0.0f;
+        }
         
+    } else {  /* normal operation, slope currently down */
         
-        // 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->table->blepDerivArray[(int) blepDeriv_PosExact];
-            double hiValue = lowValue;
-            
-            if ((int) blepDeriv_PosExact + 1 < n)
-                hiValue = m->table->blepDerivArray[(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;
-            
+        x = 0.5f - (p - b) / b1;
+        if (p >= 1.0f) {
+            p -= 1.0f;
+            c->syncout = p / w + 1e-20f;
+            x = -0.5f + p / b;
+            place_slope_dd(c->_f, j, p, w, 1.0f / b + 1.0f / b1);
+            k = 0;
+        } else {
+            c->syncout = 0.0f;
         }
-    
-        // UPDATE ::::
-        m->offset[i] += 1.0f;
-        if (m->offset[i] * adjusted_Freq > n)
-        {
-            m->numActiveBleps--;
+        if (!k && p >= b) {
+            x = 0.5f - (p - b) / b1;
+            place_slope_dd(c->_f, j, p - b, w, -1.0f / b1 - 1.0f / b);
+            k = 1;
         }
     }
-    return sample;
-}
-
-//==============================================================================
-
-/* tMBTriangle: Anti-aliased Triangle waveform. */
-void    tMBTriangle_init          (tMBTriangle* const osc, tMinBLEPTable* const table)
-{
-    tMBTriangle_initToPool(osc, table, &leaf.mempool);
-}
-
-void    tMBTriangle_initToPool    (tMBTriangle* const osc, tMinBLEPTable* const table, tMempool* const mp)
-{
-    _tMempool* m = *mp;
-    _tMBTriangle* c = *osc = (_tMBTriangle*) mpool_alloc(sizeof(_tMBTriangle), m);
-    c->mempool = m;
+    c->_f[j + DD_SAMPLE_DELAY] += x;
     
-    c->inc      =  0.0f;
-    c->phase    =  0.0f;
-    c->skew     =  0.5f;
-    c->lastOut  =  0.0f;
+    z += a * (c->_f[j] - z);
+    c->out = c->amp * z;
     
-    tMinBLEPHandler_initToPool(&c->minBlep, table, mp);
-    tHighpass_initToPool(&c->dcBlock, 5.0f, mp);
-}
-
-void    tMBTriangle_free (tMBTriangle* const cy)
-{
-    _tMBTriangle* c = *cy;
+    if (++j == FILLEN)
+    {
+        j = 0;
+        memcpy (c->_f, c->_f + FILLEN, STEP_DD_PULSE_LENGTH * sizeof (float));
+        memset (c->_f + STEP_DD_PULSE_LENGTH, 0,  FILLEN * sizeof (float));
+    }
     
-    tMinBLEPHandler_free(&c->minBlep);
-    tHighpass_free(&c->dcBlock);
+    c->_p = p;
+    c->_w = w;
+    c->_b = b;
+    c->_z = z;
+    c->_j = j;
+    c->_k = k;
     
-    mpool_free((char*)c, c->mempool);
+    return c->out;
 }
 
-float   tMBTriangle_tick          (tMBTriangle* const osc)
+void tMBTriangle_setFreq(tMBTriangle* const osc, float f)
 {
     _tMBTriangle* c = *osc;
-    
-    float out;
-
-    c->phase += c->inc;
-    if (c->phase >= 1.0f)
-    {
-        c->phase -= 1.0f;
-        float offset = 1.0f - ((c->inc - c->phase) / c->inc);
-        tMinBLEPHandler_addBLEP(&c->minBlep, offset, -2, 0.0f);
-    }
-    if (c->skew <= c->phase && c->phase < c->skew + c->inc)
-    {
-        float offset = 1.0f - ((c->inc - c->phase + c->skew) / c->inc);
-        tMinBLEPHandler_addBLEP(&c->minBlep, offset, 2, 0.0f);
-    }
-
-    if (c->phase < c->skew)
-    {
-        out = (1.0f - c->skew) * 2.0f;
-    }
-    else
-    {
-        out = -c->skew * 2.0f;
-    }
-
-    out = tMinBLEPHandler_tick(&c->minBlep, out);// - phasor->inc * 2.0f;
-    
-    out = (c->inc * out) + ((1 - c->inc) * c->lastOut);
-    c->lastOut = out;
-    
-    return tHighpass_tick(&c->dcBlock, out * 4.0f);
-    
-//    float offset;
-//    float vel = 2;
-//    c->phase += c->inc;
-//    if (c->phase >= 1.0f)
-//    {
-//        c->phase -= 1.0f;
-//        offset = 1.0f - ((c->inc - c->phase) / c->inc);
-//        tMinBLEP_addBLEP(&c->minBlep, offset, 0.0f, -vel);
-//    }
-//    if (c->skew <= c->phase && c->phase < c->skew + c->inc)
-//    {
-//        offset = 1.0f - ((c->inc - c->phase + c->skew) / c->inc);
-//        tMinBLEP_addBLEP(&c->minBlep, offset, 0.0f, vel);
-//    }
-//
-//    float out;
-//    if (c->phase < c->skew) out = 1.0f - (c->phase / c->skew);
-//    else out = (c->phase - c->skew) / (1 - c->skew);
-//
-//    out = (out - 0.5f) * 2.0f;
-//
-////    return tHighpass_tick(&c->dcBlock, tMinBLEP_tick(&c->minBlep, out));
-//    return tMinBLEP_tick(&c->minBlep, out);
+    c->freq = f;
 }
 
-void    tMBTriangle_setFreq       (tMBTriangle* const osc, float freq)
+void tMBTriangle_setWidth(tMBTriangle* const osc, float w)
 {
     _tMBTriangle* c = *osc;
-    
-    c->freq  = freq;
-    c->inc = freq * leaf.invSampleRate;
-    
-//    tHighpass_setFreq(&c->dcBlock, freq*0.5);
+    c->waveform = w;
 }
 
-void    tMBTriangle_setSkew       (tMBTriangle* const osc, float skew)
+void tMBTriangle_syncIn(tMBTriangle* const osc, float sync)
 {
     _tMBTriangle* c = *osc;
-    c->skew = (skew + 1.0f) * 0.5f;
+    c->syncin = sync;
 }
 
-void    tMBTriangle_sync          (tMBTriangle* const osc, float phase)
+float tMBTriangle_syncOut(tMBTriangle* const osc)
 {
     _tMBTriangle* c = *osc;
-    
-    phase += 0.5f;
-    
-    int intPart = (int) phase;
-    phase = phase - (float) intPart;
-    
-    float before, after;
-    
-    if (c->phase < c->skew) before = (1.0f - c->skew - c->phase) * 2.0f;
-    else before = -(c->skew - c->phase) * 2.0f;
-
-    if (phase < c->skew) after = (1.0f - c->skew - c->phase) * 2.0f;
-    else after = -(c->skew - c->phase) * 2.0f;
-
-    c->phase = phase;
-
-    float offset = 0.0f;//1.0f - ((c->inc - c->phase) / c->inc);
-    tMinBLEPHandler_addBLEP(&c->minBlep, offset, before - after, 0.0f);
-    
-    if (c->phase < c->skew) c->lastOut = 1.0f - (c->phase / c->skew);
-    else c->lastOut = (c->phase - c->skew) / (1.0f - c->skew);
+    return c->syncout;
 }
 
-//==============================================================================
 
-/* tMBPulse: Anti-aliased pulse waveform. */
-void    tMBPulse_init        (tMBPulse* const osc, tMinBLEPTable* const table)
+//----------------------------------------------------------------------------------------------------------
+
+void tMBSaw_init(tMBSaw* const osc)
 {
-    tMBPulse_initToPool(osc, table, &leaf.mempool);
+    tMBSaw_initToPool(osc, &leaf.mempool);
 }
 
-void    tMBPulse_initToPool  (tMBPulse* const osc, tMinBLEPTable* const table, tMempool* const mp)
+void tMBSaw_initToPool(tMBSaw* const osc, tMempool* const pool)
 {
-    _tMempool* m = *mp;
-    _tMBPulse* c = *osc = (_tMBPulse*) mpool_alloc(sizeof(_tMBPulse), m);
+    _tMempool* m = *pool;
+    _tMBSaw* c = *osc = (_tMBSaw*) mpool_alloc(sizeof(_tMBSaw), m);
     c->mempool = m;
     
-    c->inc      =  0.0f;
-    c->phase    =  0.0f;
-    c->width     =  0.5f;
-    
-    tMinBLEPHandler_initToPool(&c->minBlep, table, mp);
-    tHighpass_initToPool(&c->dcBlock, 10.0f, mp);
+    c->_init = true;
+    c->amp = 1.0f;
+    c->freq = 440.f;
+    c->syncin = 0.0f;
+    c->_z = 0.0f;
+    c->_j = 0;
+    memset (c->_f, 0, (FILLEN + STEP_DD_PULSE_LENGTH) * sizeof (float));
 }
 
-void    tMBPulse_free (tMBPulse* const osc)
+void tMBSaw_free(tMBSaw* const osc)
 {
-    _tMBPulse* c = *osc;
-    
-    tMinBLEPHandler_free(&c->minBlep);
-    tHighpass_free(&c->dcBlock);
-    
+    _tMBSaw* c = *osc;
     mpool_free((char*)c, c->mempool);
 }
 
-float   tMBPulse_tick        (tMBPulse* const osc)
+float tMBSaw_tick(tMBSaw* const osc)
 {
-    _tMBPulse* c = *osc;
+    _tMBSaw* c = *osc;
     
-
+    int    j;
+    float  freq, syncin;
+    float  a, p, t, w, dw, z;
+    syncin  = c->syncin;
+    freq = c->freq;
     
-    c->phase += c->inc;
-    if (c->phase >= 1.0f)
-    {
-        c->phase -= 1.0f;
-        float offset = 1.0f - ((c->inc - c->phase) / c->inc);
-        tMinBLEPHandler_addBLEP(&c->minBlep, offset, -2.0f, 0.0f);
+    p = c->_p;  /* phase [0, 1) */
+    w = c->_w;  /* phase increment */
+    z = c->_z;  /* low pass filter state */
+    j = c->_j;  /* index into buffer _f */
+    
+    if (c->_init) {
+        p = 0.5f;
+        w = freq / leaf.sampleRate;
+        if (w < 1e-5) w = 1e-5;
+        if (w > 0.5) w = 0.5;
+        /* if we valued alias-free startup over low startup time, we could do:
+         *   p -= w;
+         *   place_slope_dd(_f, j, 0.0f, w, -1.0f); */
+        c->_init = false;
     }
-    if (c->width <= c->phase && c->phase < c->width + c->inc)
-    {
-        float offset = 1.0f - ((c->inc - c->phase + c->width) / c->inc);
-        tMinBLEPHandler_addBLEP(&c->minBlep, offset, 2.0f, 0.0f);
-    }
     
-    float out;
-    if (c->phase < c->width) out = 1.0f;
-    else out = -1.0f;
+    //a = 0.2 + 0.8 * vco->_port [FILT];
+    a = 0.5f; // when a = 1, LPfilter is disabled
     
-    return tHighpass_tick(&c->dcBlock, tMinBLEPHandler_tick(&c->minBlep, out));
-}
-
-void    tMBPulse_setFreq     (tMBPulse* const osc, float freq)
-{
-    _tMBPulse* c = *osc;
+    t = freq / leaf.sampleRate;
+    if (t < 1e-5) t = 1e-5;
+    if (t > 0.5) t = 0.5;
+    dw = (t - w); // n= 1
+    w += dw;
+    p += w;
     
-    c->freq  = freq;
-    c->inc = freq * leaf.invSampleRate;
-}
-
-void    tMBPulse_setWidth    (tMBPulse* const osc, float width)
-{
-    _tMBPulse* c = *osc;
-    c->width = width;
-}
-
-void    tMBPulse_sync          (tMBPulse* const osc, float phase)
-{
-    _tMBPulse* c = *osc;
-    int intPart = (int) phase;
-    phase = phase - (float) intPart;
+    if (syncin >= 1e-20f) {  /* sync to master */
+        
+        float eof_offset = (syncin - 1e-20f) * w;
+        float p_at_reset = p - eof_offset;
+        p = eof_offset;
+        
+        /* place any DD that may have occurred in subsample before reset */
+        if (p_at_reset >= 1.0f) {
+            p_at_reset -= 1.0f;
+            place_step_dd(c->_f, j, p_at_reset + eof_offset, w, 1.0f);
+        }
+        
+        /* now place reset DD */
+        place_step_dd(c->_f, j, p, w, p_at_reset);
+        
+        c->syncout = syncin;  /* best we can do is pass on upstream sync */
+        
+    } else if (p >= 1.0f) {  /* normal phase reset */
+        
+        p -= 1.0f;
+        c->syncout = p / w + 1e-20f;
+        place_step_dd(c->_f, j, p, w, 1.0f);
+        
+    } else {
+        
+        c->syncout = 0.0f;
+    }
+    c->_f[j + DD_SAMPLE_DELAY] += 0.5f - p;
     
-    float before, after;
+    z += a * (c->_f[j] - z); // LP filtering
+    c->out = c->amp * z;
     
-    if (c->phase < c->width) before = 1.0f;
-    else before = -1.0f;
+    if (++j == FILLEN)
+    {
+        j = 0;
+        memcpy (c->_f, c->_f + FILLEN, STEP_DD_PULSE_LENGTH * sizeof (float));
+        memset (c->_f + STEP_DD_PULSE_LENGTH, 0,  FILLEN * sizeof (float));
+    }
     
-    if (phase < c->width) after = 1.0;
-    else after = -1.0f;
+    c->_p = p;
+    c->_w = w;
+    c->_z = z;
+    c->_j = j;
     
-    float offset = 0.0f;//1.0f - ((c->inc - c->phase) / c->inc);
-    tMinBLEPHandler_addBLEP(&c->minBlep, offset, before - after, 0.0f);
-    
-    c->phase = phase;
+    return c->out;
 }
 
-
-//==============================================================================
-
-/* tMBSawtooth: Anti-aliased Sawtooth waveform. */
-void    tMBSaw_init          (tMBSaw* const osc, tMinBLEPTable* const table)
+void tMBSaw_setFreq(tMBSaw* const osc, float f)
 {
-    tMBSaw_initToPool(osc, table, &leaf.mempool);
-}
-
-void    tMBSaw_initToPool    (tMBSaw* const osc, tMinBLEPTable* const table, tMempool* const mp)
-{
-    _tMempool* m = *mp;
-    _tMBSaw* c = *osc = (_tMBSaw*) mpool_alloc(sizeof(_tMBSaw), m);
-    c->mempool = m;
-    
-    c->inc      =  0.0f;
-    c->phase    =  0.0f;
-    
-    tMinBLEPHandler_initToPool(&c->minBlep, table, mp);
-    tHighpass_initToPool(&c->dcBlock, 10.0f, mp);
-}
-
-void    tMBSaw_free (tMBSaw* const osc)
-{
     _tMBSaw* c = *osc;
-    
-    tMinBLEPHandler_free(&c->minBlep);
-    tHighpass_free(&c->dcBlock);
-    
-    mpool_free((char*)c, c->mempool);
+    c->freq = f;
 }
 
-float   tMBSaw_tick          (tMBSaw* const osc)
+void tMBSaw_syncIn(tMBSaw* const osc, float sync)
 {
     _tMBSaw* c = *osc;
-    
-    c->phase += c->inc;
-    if (c->phase >= 1.0f)
-    {
-        c->phase -= 1.0f;
-        float offset = 1.0f - ((c->inc - c->phase) / c->inc);
-        tMinBLEPHandler_addBLEP(&c->minBlep, offset, 2.0f, 0.0f);
-    }
-    
-    float out = (c->phase * 2.0f) - 1.0f;
-    
-    return tHighpass_tick(&c->dcBlock, tMinBLEPHandler_tick(&c->minBlep, out));
+    c->syncin = sync;
 }
 
-void    tMBSaw_setFreq       (tMBSaw* const osc, float freq)
+float tMBSaw_syncOut(tMBSaw* const osc)
 {
     _tMBSaw* c = *osc;
-    
-    c->freq  = freq;
-    
-    c->inc = freq * leaf.invSampleRate;
-}
-
-void    tMBSaw_sync          (tMBSaw* const osc, float phase)
-{
-    _tMBSaw* c = *osc;
-    int intPart = (int) phase;
-    phase = phase - (float) intPart;
-    
-    float offset = 0.0f;//1.0f - ((c->inc - phase +) / c->inc);
-    tMinBLEPHandler_addBLEP(&c->minBlep, offset, (c->phase - phase) * 2.0f, 0.0f);
-    
-    c->phase = phase;
+    return c->syncout;
 }
--- a/leaf/Src/leaf-tables.c
+++ b/leaf/Src/leaf-tables.c
@@ -14059,3 +14059,1764 @@
 .916724f, -0.916715f, -0.916705f, -0.916695f,
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