library/repos/ArableInstruments/parasites/tides/generator.cc

// Copyright 2013 Olivier Gillet.
//
// Author: Olivier Gillet (ol.gillet@gmail.com)
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// 
// The above copyright notice and this permission notice shall be included in
// all copies or substantial portions of the Software.
// 
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
// THE SOFTWARE.
// 
// See http://creativecommons.org/licenses/MIT/ for more information.
//
// -----------------------------------------------------------------------------
//
// Tidal generator.

#include "tides/generator.h"

#include <algorithm>

#include "stmlib/utils/dsp.h"
#include "stmlib/utils/random.h"

#include "tides/resources.h"

// #define CORE_ONLY

namespace tides {

using namespace stmlib;

const int16_t kOctave = 12 * 128;
const uint16_t kSlopeBits = 12;
const uint32_t kSyncCounterMaxTime = 8 * 48000;

const int32_t kDownsampleCoefficient[4] = { 17162, 19069, 17162, 12140 };


/* static */
const FrequencyRatio Generator::frequency_ratios_[] = {
  { 1, 1 },
  { 5, 4 },
  { 4, 3 },
  { 3, 2 },
  { 5, 3 },
  { 2, 1 },
  { 3, 1 },
  { 4, 1 },
  { 6, 1 },
  { 8, 1 },
  { 12, 1 },
  { 16, 1 },
};

/* static */
const int16_t Generator::num_frequency_ratios_ = \
    sizeof(Generator::frequency_ratios_) / sizeof(FrequencyRatio);

void Generator::Init() {
  mode_ = GENERATOR_MODE_LOOPING;
  range_ = GENERATOR_RANGE_HIGH;
  clock_divider_ = 1;
  phase_ = 0;
  final_gain_ = 0;
  set_pitch(60 << 7, 0);
  output_buffer_.Init();
  input_buffer_.Init();
  pattern_predictor_.Init();
  for (uint16_t i = 0; i < kBlockSize; ++i) {
    GeneratorSample s;
    s.flags = 0;
    s.unipolar = 0;
    s.bipolar = 0;
    output_buffer_.Overwrite(s);
    input_buffer_.Overwrite(0);
  }
  
  antialiasing_ = true;
  shape_ = 0;
  slope_ = 0;
  smoothed_slope_ = 0;
  smoothness_ = 0;
  
  previous_sample_.unipolar = previous_sample_.bipolar = 0;
  running_ = wrap_ = false;
  previous_freeze_ = false;

  pulse_width_ = UINT16_MAX / 2;
  divided_phase_ = 0;
  divider_ = 1;
  divider_counter_ = 0;
  delayed_phase_ = 0;
  delayed_threshold_ = 0;
  delay_ = 0;

  ClearFilterState();
  
  sync_counter_ = kSyncCounterMaxTime;
  frequency_ratio_.p = 1;
  frequency_ratio_.q = 1;
  sync_ = false;
  phase_increment_ = 9448928;
  delayed_phase_increment_ = phase_increment_;
  local_osc_phase_increment_ = phase_increment_;
  target_phase_increment_ = phase_increment_;

  RandomizeHarmonicDistribution();
}

void Generator::ComputeFrequencyRatio(int16_t pitch) {
  int16_t delta = previous_pitch_ - pitch;
  // Hysteresis for preventing glitchy transitions.
  if (delta < 96 && delta > -96) {
    return;
  }
  previous_pitch_ = pitch;
  // Corresponds to a 0V CV after calibration
  pitch -= (36 << 7);
  // The range of the control panel knob is 4 octaves.
  pitch = pitch * 12 / (48 << 7);
  bool swap = false;
  if (pitch < 0) {
    pitch = -pitch;
    swap = true;
  }
  if (pitch >= num_frequency_ratios_) {
    pitch = num_frequency_ratios_ - 1;
  }
  frequency_ratio_ = frequency_ratios_[pitch];
  if (swap) {
    frequency_ratio_.q = frequency_ratio_.p;
    frequency_ratio_.p = frequency_ratios_[pitch].q;
  }
}

int32_t Generator::ComputePhaseIncrement(int16_t pitch) {
  int16_t num_shifts = 0;
  while (pitch < 0) {
    pitch += kOctave;
    --num_shifts;
  }
  while (pitch >= kOctave) {
    pitch -= kOctave;
    ++num_shifts;
  }
  // Lookup phase increment
  int32_t a = lut_increments[pitch >> 4];
  int32_t b = lut_increments[(pitch >> 4) + 1];
  int32_t phase_increment = a + ((b - a) * (pitch & 0xf) >> 4);
  // Compensate for downsampling
  phase_increment *= clock_divider_;
  phase_increment = num_shifts >= 0
      ? phase_increment << num_shifts
      : phase_increment >> -num_shifts;
  return phase_increment;
}

int16_t Generator::ComputePitch(int32_t phase_increment) {
  int32_t first = lut_increments[0];
  int32_t last = lut_increments[LUT_INCREMENTS_SIZE - 2];
  int16_t pitch = 0;
  
  if (phase_increment == 0) {
    phase_increment = 1;
  }
  
  phase_increment /= clock_divider_;
  while (phase_increment > last) {
    phase_increment >>= 1;
    pitch += kOctave;
  }
  while (phase_increment < first) {
    phase_increment <<= 1;
    pitch -= kOctave;
  }
  pitch += (std::lower_bound(
      lut_increments,
      lut_increments + LUT_INCREMENTS_SIZE,
      phase_increment) - lut_increments) << 4;
  return pitch;
}

int32_t Generator::ComputeCutoffFrequency(int16_t pitch, int16_t smoothness) {
  uint8_t shifts = clock_divider_;
  while (shifts > 1) {
    shifts >>= 1;
    pitch += kOctave;
  }
  int32_t frequency;
  if (smoothness > 0) {
    frequency = 256 << 7;
  } else if (smoothness > -16384) {
    int32_t start = pitch + (36 << 7);
    int32_t end = 256 << 7;
    frequency = start + ((end - start) * (smoothness + 16384) >> 14);
  } else {
    int32_t start = pitch - (36 << 7);
    int32_t end = pitch + (36 << 7);
    frequency = start + ((end - start) * (smoothness + 32768) >> 14);
  }
  frequency += 32768;
  if (frequency < 0) {
    frequency = 0;
  }
  return frequency;
}

int32_t Generator::ComputeAntialiasAttenuation(
    int16_t pitch,
    int16_t slope,
    int16_t shape,
    int16_t smoothness) {
  pitch += 128;
  if (pitch < 0) pitch = 0;
  if (slope < 0) slope = -slope;
  if (shape < 0) shape = -shape;
  if (smoothness < 0) smoothness = 0;

  int32_t p = 252059;
  p += -76 * smoothness >> 5;
  p += -30 * shape >> 5;
  p += -102 * slope >> 5;
  p += -664 * pitch >> 5;
  p += 31 * (smoothness * shape >> 16) >> 5;
  p += 12 * (smoothness * slope >> 16) >> 5;
  p += 14 * (shape * slope >> 16) >> 5;
  p += 219 * (pitch * smoothness >> 16) >> 5;
  p += 50 * (pitch * shape >> 16) >> 5;
  p += 425 * (pitch * slope >> 16) >> 5;
  p += 13 * (smoothness * smoothness >> 16) >> 5;
  p += 1 * (shape * shape >> 16) >> 5;
  p += -11 * (slope * slope >> 16) >> 5;
  p += 776 * (pitch * pitch >> 16) >> 5;
  if (p < 0) p = 0;
  if (p > 32767) p = 32767;
  return p;
}

void Generator::FillBuffer() {
    if (feature_mode_ == FEAT_MODE_FUNCTION) {
#ifndef WAVETABLE_HACK
      if (range_ == GENERATOR_RANGE_HIGH) {
        FillBufferAudioRate();
      } else {
        FillBufferControlRate();
      }
#else
      FillBufferWavetable();
#endif
    } else if (feature_mode_ == FEAT_MODE_HARMONIC) {
    if (mode_ == GENERATOR_MODE_LOOPING)
      FillBufferHarmonic<GENERATOR_MODE_LOOPING>();
    else if (mode_ == GENERATOR_MODE_AR)
      FillBufferHarmonic<GENERATOR_MODE_AR>();
    else if (mode_ == GENERATOR_MODE_AD)
      FillBufferHarmonic<GENERATOR_MODE_AD>();
    } else if (feature_mode_ == FEAT_MODE_RANDOM) {
      FillBufferRandom();
    }
  }

// There are to our knowledge three ways of generating an "asymmetric" ramp:
//
// 1. Use the difference between two parabolic waves.
//
// + Anti-aliasing is easy with wavetables of band-limited parabolic waves.
// + Slope modulation does not cause discontinuities.
// - Does not allow a different waveshape to be used for the A and D segments.
// - Needs gain compensation at the extreme settings of the slope parameter.
// - Does not traverse the full 0 .. 65535 range due to inaccuracies in gain
//   factor.
//
// 2. Use different phase increments for the A and D segments.
//
// + Slope modulation does not cause discontinuities.
// + Traverses the full 0 .. 65535 range.
// - Due to rounding errors, the duration of the A+D segment is not preserved
//   exactly when the slope is modulated.
// - No anti-aliasing.
// 
// 3. Generate a ramp and waveshape it (phase distortion).
//
// + Duration of A+D segment is preserved.
// + Traverses the full 0 .. 65535 range.
// - No anti-aliasing.
// - Slope modulations causes waveform discontinuities.
//
// 
// We use 1. for the highest range (audio rates); and 3 for the two other ranges
// (control rates extending into audio territory). To compensate for the slope
// modulation discontinuities, we low-pass filter digitally the slope value.
// 2. has a terrible behaviour in the audio range, because it causes audible FM
// when the slope parameter is modulated by a LFO.

void Generator::FillBufferAudioRate() {
  uint8_t size = kBlockSize;
  
  GeneratorSample sample = previous_sample_;
  int32_t phase_increment_end;

  if (sync_) {
    pitch_ = ComputePitch(phase_increment_);
    phase_increment_end = phase_increment_;
  } else {
    phase_increment_end = ComputePhaseIncrement(pitch_);
    local_osc_phase_increment_ = phase_increment_end;
    target_phase_increment_ = phase_increment_end;
  }
  if (pitch_ < 0) {
    pitch_ = 0;
  }

#ifndef CORE_ONLY
  // Load wavetable pointers for bandlimiting - they depend on pitch value.
  uint16_t xfade = pitch_ << 6;
  uint16_t index = pitch_ >> 10;
  if (pitch_ < 0) {
    index = 0;
    xfade = 0;
  }
  
  const int16_t* wave_1 = waveform_table[WAV_BANDLIMITED_PARABOLA_0 + index];
  const int16_t* wave_2 = waveform_table[WAV_BANDLIMITED_PARABOLA_0 + index + 1];

  // we split the slope button into two: original slope on the first
  // half, compression on the second
  int16_t compress = -slope_;
  int16_t slope = slope_;
  CONSTRAIN(slope, 0, 32767);
  CONSTRAIN(compress, 0, 32767);

  // adjust knob response for Slope
  int32_t s = 32768 - slope;
  slope = 32768 - ((s * s) >> 15);
  CONSTRAIN(slope, 0, 32600); 	// that is a bit weird

  int32_t gain = slope;
  gain = (32768 - (gain * gain >> 15)) * 3 >> 1;
  gain = 32768 * 1024 / gain;
  
  uint32_t phase_offset_a_bi = (slope - (slope >> 1)) << 16;
  uint32_t phase_offset_b_bi = (32768 - (slope >> 1)) << 16;
  uint32_t phase_offset_a_uni = 49152 << 16;
  uint32_t phase_offset_b_uni = (32768 + 49152 - slope) << 16;
  
  int32_t attenuation = 32767;
  if (antialiasing_) {
    attenuation = ComputeAntialiasAttenuation(
          pitch_,
	  slope,
          shape_,
          smoothness_);
  }

  uint16_t shape = static_cast<uint16_t>((shape_ * attenuation >> 15) + 32768);
  uint16_t wave_index = WAV_INVERSE_TAN_AUDIO + (shape >> 14);
  const int16_t* shape_1 = waveform_table[wave_index];
  const int16_t* shape_2 = waveform_table[wave_index + 1];
  uint16_t shape_xfade = shape << 2;

  int32_t frequency = ComputeCutoffFrequency(pitch_, smoothness_);
  int32_t f_a = lut_cutoff[frequency >> 7] >> 16;
  int32_t f_b = lut_cutoff[(frequency >> 7) + 1] >> 16;
  int32_t f = f_a + ((f_b - f_a) * (frequency & 0x7f) >> 7);
  int32_t wf_gain = 2048;
  int32_t wf_balance = 0;
  if (smoothness_ > 0) {
    int16_t attenuated_smoothness = smoothness_ * attenuation >> 15;
    wf_gain += attenuated_smoothness * (32767 - 1024) >> 14;
    wf_balance = attenuated_smoothness;
  }
#endif  // CORE_ONLY  
  
  uint32_t end_of_attack = (static_cast<uint32_t>(slope + 32768) << 16);
  
  // Load state into registers - saves some memory load/store inside the
  // rendering loop.
  uint32_t phase = phase_;
  int32_t phase_increment = phase_increment_;
  int32_t phase_increment_increment = (phase_increment_end - phase_increment_) / size;
  bool wrap = wrap_;
  int32_t uni_lp_state_0 = uni_lp_state_[0];
  int32_t uni_lp_state_1 = uni_lp_state_[1];
  int32_t bi_lp_state_0 = bi_lp_state_[0];
  int32_t bi_lp_state_1 = bi_lp_state_[1];
  
  // Enforce that the EOA pulse is at least 1 sample wide.
  if (end_of_attack >= abs(phase_increment)) {
    end_of_attack -= phase_increment;
  }
  if (end_of_attack < abs(phase_increment)) {
    end_of_attack = phase_increment;
  }

  // cut out the output completely when smoothness is fully off.
  uint16_t final_gain_end = smoothness_ + 32768;
  CONSTRAIN(final_gain_end, 200, (UINT16_MAX >> 3) + 200);
  final_gain_end -= 200;
  final_gain_end <<= 3;

  uint16_t final_gain_increment = (final_gain_end - final_gain_) / size;

  while (size--) {
    ++sync_counter_;
    uint8_t control = input_buffer_.ImmediateRead();

    // When freeze is high, discard any start/reset command.
    if (!(control & CONTROL_FREEZE)) {
      if (control & CONTROL_GATE_RISING) {
        phase = 0;
        running_ = true;
      } else if (mode_ != GENERATOR_MODE_LOOPING && wrap) {
        phase = 0;
        running_ = false;
      }

      // on clock falling edge
      if (!(control & CONTROL_CLOCK) &&
	  previous_clock_) {
        sub_phase_ = 0;
      }
      previous_clock_ = control & CONTROL_CLOCK;
    }
    
    if (sync_) {
      if (control & CONTROL_CLOCK_RISING) {
        ++sync_edges_counter_;
        if (sync_edges_counter_ >= frequency_ratio_.q) {
          sync_edges_counter_ = 0;
          if (sync_counter_ < kSyncCounterMaxTime && sync_counter_) {
            uint64_t increment = frequency_ratio_.p * static_cast<uint64_t>(
                0xffffffff / sync_counter_);
            if (increment > 0x80000000) {
              increment = 0x80000000;
            }
            target_phase_increment_ = static_cast<uint32_t>(increment);
            local_osc_phase_ = 0;
          }
          sync_counter_ = 0;
        }
      }
      // Fast tracking of the local oscillator to the external oscillator.
      local_osc_phase_increment_ += static_cast<int32_t>(
          target_phase_increment_ - local_osc_phase_increment_) >> 8;
      local_osc_phase_ += local_osc_phase_increment_;
      
      // Slow phase realignment between the master oscillator and the local
      // oscillator.
      int32_t phase_error = local_osc_phase_ - phase;
      phase_increment = local_osc_phase_increment_ + (phase_error >> 13);
    }
    
    if (control & CONTROL_FREEZE) {
      output_buffer_.Overwrite(sample);
      continue;
    }
    
    bool sustained = mode_ == GENERATOR_MODE_AR
        && phase >= (1UL << 31)
        && control & CONTROL_GATE;

    if (sustained) {
      phase = 1L << 31;
    }

#ifndef CORE_ONLY

    // Clip the phase for compression
    uint32_t compress_index = compress << 1;
    compress_index = 65535 - compress_index;
    compress_index = (compress_index * compress_index) >> 16;
    compress_index = 65535 - compress_index;
    compress_index = compress_index * 29 / 30; // knob range
    compress_index = 65535 - compress_index;
    uint32_t compressed_phase =
      (phase >> 16) > compress_index ? 0 :
      phase / compress_index * UINT16_MAX;

    // Bipolar version ---------------------------------------------------------
    int32_t ramp_a, ramp_b, saw;
    int32_t original, folded;
    ramp_a = Crossfade1022(wave_1, wave_2, compressed_phase + phase_offset_a_bi, xfade);
    ramp_b = Crossfade1022(wave_1, wave_2, compressed_phase + phase_offset_b_bi, xfade);
    saw = (ramp_b - ramp_a) * gain >> 10;
    CLIP(saw);
    
    // Appy shape waveshaper.
    saw = Crossfade115(shape_1, shape_2, saw + 32768, shape_xfade);
    if (!running_ && !sustained) {
      saw = 0;
    }

    // Run through LPF.
    bi_lp_state_0 += f * (saw - bi_lp_state_0) >> 15;
    bi_lp_state_1 += f * (bi_lp_state_0 - bi_lp_state_1) >> 15;
    
    // Fold.
    original = bi_lp_state_1;
    folded = Interpolate1022(wav_bipolar_fold, original * wf_gain + (1UL << 31));
    sample.bipolar = original + ((folded - original) * wf_balance >> 15);
    sample.bipolar = (sample.bipolar * final_gain_) >> 16;

    // Unipolar version --------------------------------------------------------
    ramp_a = Crossfade1022(wave_1, wave_2, compressed_phase + phase_offset_a_uni, xfade);
    ramp_b = Crossfade1022(wave_1, wave_2, compressed_phase + phase_offset_b_uni, xfade);
    saw = (ramp_b - ramp_a) * gain >> 10;
    CLIP(saw)
    
    // Appy shape waveshaper.
    saw = Crossfade115(shape_1, shape_2, (saw >> 1) + 32768 + 16384,
                       shape_xfade);
    if (!running_ && !sustained) {
      saw = 0;
    }

    // Run through LPF.
    uni_lp_state_0 += f * (saw - uni_lp_state_0) >> 15;
    uni_lp_state_1 += f * (uni_lp_state_0 - uni_lp_state_1) >> 15;
    
    // Fold.
    original = uni_lp_state_1 << 1;
    folded = Interpolate1022(wav_unipolar_fold, original * wf_gain) << 1;
    sample.unipolar = original + ((folded - original) * wf_balance >> 15);
    sample.unipolar = (sample.unipolar * final_gain_) >> 16;
#else
    sample.bipolar = (phase >> 16) - 32768;
    sample.unipolar = phase >> 16;
#endif  // CORE_ONLY
    
    sample.flags = 0;

    if (compressed_phase >= end_of_attack || !running_) {
      sample.flags |= FLAG_END_OF_ATTACK;
    }

    if (!(control & CONTROL_CLOCK) &&
	sub_phase_ & 0x80000000) {
      sample.flags |= FLAG_END_OF_RELEASE;
    }
    output_buffer_.Overwrite(sample);
    
    if (running_ && !sustained) {
      phase += phase_increment;
      sub_phase_ += phase_increment >> 1;
      wrap = phase < abs(phase_increment);
    }

    final_gain_ += final_gain_increment;
    phase_increment += phase_increment_increment;
  }

  uni_lp_state_[0] = uni_lp_state_0;
  uni_lp_state_[1] = uni_lp_state_1;
  bi_lp_state_[0] = bi_lp_state_0;
  bi_lp_state_[1] = bi_lp_state_1;
  
  previous_sample_ = sample;
  phase_ = phase;
  phase_increment_ = phase_increment;
  wrap_ = wrap;
}

void Generator::FillBufferControlRate() {
  uint8_t size = kBlockSize;
  
  if (sync_) {
    pitch_ = ComputePitch(phase_increment_);
  } else {
    phase_increment_ = ComputePhaseIncrement(pitch_);
    local_osc_phase_increment_ = phase_increment_;
    target_phase_increment_ = phase_increment_;
  }
  
  GeneratorSample sample = previous_sample_;

#ifndef CORE_ONLY  
  uint16_t shape = static_cast<uint16_t>(shape_ + 32768);
  shape = (shape >> 2) * 3;
  uint16_t wave_index = WAV_REVERSED_CONTROL + (shape >> 13);
  const int16_t* shape_1 = waveform_table[wave_index];
  const int16_t* shape_2 = waveform_table[wave_index + 1];
  uint16_t shape_xfade = shape << 3;
  
  int64_t frequency = ComputeCutoffFrequency(pitch_, smoothness_);
  int64_t f_a = lut_cutoff[frequency >> 7];
  int64_t f_b = lut_cutoff[(frequency >> 7) + 1];
  int64_t f = f_a + ((f_b - f_a) * (frequency & 0x7f) >> 7);
  int32_t wf_gain = 2048;
  int32_t wf_balance = 0;
  if (smoothness_ > 0) {
    wf_gain += smoothness_ * (32767 - 1024) >> 14;
    wf_balance = smoothness_;
  }
#endif  // CORE_ONLY  

  // Load state into registers - saves some memory load/store inside the
  // rendering loop.
  uint32_t phase = phase_;
  uint32_t phase_increment = phase_increment_;
  bool wrap = wrap_;
  int32_t smoothed_slope = smoothed_slope_;
  int64_t uni_lp_state_0 = uni_lp_state_[0];
  int64_t uni_lp_state_1 = uni_lp_state_[1];
  int64_t bi_lp_state_0 = bi_lp_state_[0];
  int64_t bi_lp_state_1 = bi_lp_state_[1];
  int32_t previous_smoothed_slope = 0x7fffffff;
  uint32_t end_of_attack = 1UL << 31;
  uint32_t attack_factor = 1 << kSlopeBits;
  uint32_t decay_factor = 1 << kSlopeBits;
  
  while (size--) {
    sync_counter_++;
    // Low-pass filter the slope parameter.
    smoothed_slope += (slope_ - smoothed_slope) >> 4;
    
    uint8_t control = input_buffer_.ImmediateRead();

    // When freeze is high, discard any start/reset command.
    if (!(control & CONTROL_FREEZE)) {
      if (control & CONTROL_GATE_RISING) {
        phase = 0;
        running_ = true;
      } else if (mode_ != GENERATOR_MODE_LOOPING && wrap) {
        running_ = false;
        phase = 0;
      }
    }
    
    if ((control & CONTROL_CLOCK_RISING) && sync_ && sync_counter_) {
      if (sync_counter_ >= kSyncCounterMaxTime) {
        phase = 0;
      } else {
        uint32_t predicted_period = pattern_predictor_.Predict(sync_counter_);
        uint64_t increment = frequency_ratio_.p * static_cast<uint64_t>(
            0xffffffff / (predicted_period * frequency_ratio_.q));
        if (increment > 0x80000000) {
          increment = 0x80000000;
        }
        phase_increment = static_cast<uint32_t>(increment);
      }
      sync_counter_ = 0;
    }

    if (control & CONTROL_FREEZE) {
      output_buffer_.Overwrite(sample);
      continue;
    }
    
    // Recompute the waveshaping parameters only when the slope has changed.
    if (smoothed_slope != previous_smoothed_slope) {
       uint32_t slope_offset = Interpolate88(
            lut_slope_compression, smoothed_slope + 32768);
      if (slope_offset <= 1) {
        decay_factor = 32768 << kSlopeBits;
        attack_factor = 1 << (kSlopeBits - 1);
      } else {
        decay_factor = (32768 << kSlopeBits) / slope_offset;
        attack_factor = (32768 << kSlopeBits) / (65536 - slope_offset);
      }
      previous_smoothed_slope = smoothed_slope;
      end_of_attack = slope_offset << 16;
    }
    
    uint32_t skewed_phase = phase;
    if (phase <= end_of_attack) {
      skewed_phase = (phase >> kSlopeBits) * decay_factor;
    } else {
      skewed_phase = ((phase - end_of_attack) >> kSlopeBits) * attack_factor;
      skewed_phase += 1L << 31;
    }

    bool sustained = mode_ == GENERATOR_MODE_AR
        && phase >= end_of_attack
        && control & CONTROL_GATE;

    if (sustained) {
      skewed_phase = 1L << 31;
      phase = end_of_attack + 1;
    }

#ifndef CORE_ONLY  
    int32_t original, folded;
    int32_t unipolar = Crossfade106(
        shape_1,
        shape_2,
        skewed_phase >> 16, shape_xfade);
    uni_lp_state_0 += f * ((unipolar << 16) - uni_lp_state_0) >> 31;
    uni_lp_state_1 += f * (uni_lp_state_0 - uni_lp_state_1) >> 31;
    
    original = uni_lp_state_1 >> 15;
    folded = Interpolate1022(wav_unipolar_fold, original * wf_gain) << 1;
    sample.unipolar = original + ((folded - original) * wf_balance >> 15);
    
    int32_t bipolar = Crossfade106(
        shape_1,
        shape_2,
        skewed_phase >> 15, shape_xfade);
    if (skewed_phase >= (1UL << 31)) {
      bipolar = -bipolar;
    }
    
    bi_lp_state_0 += f * ((bipolar << 16) - bi_lp_state_0) >> 31;
    bi_lp_state_1 += f * (bi_lp_state_0 - bi_lp_state_1) >> 31;
    
    original = bi_lp_state_1 >> 16;
    folded = Interpolate1022(wav_bipolar_fold, original * wf_gain + (1UL << 31));
    sample.bipolar = original + ((folded - original) * wf_balance >> 15);

#else    
    sample.bipolar = (skewed_phase >> 16) - 32768;
    sample.unipolar = skewed_phase >> 16;
#endif  // CORE_ONLY

    uint32_t adjusted_end_of_attack = end_of_attack;
    if (adjusted_end_of_attack >= phase_increment) {
      adjusted_end_of_attack -= phase_increment;
    }
    if (adjusted_end_of_attack < phase_increment) {
      adjusted_end_of_attack = phase_increment;
    }

    sample.flags = 0;
    bool looped = mode_ == GENERATOR_MODE_LOOPING && wrap;
    if (phase >= adjusted_end_of_attack || !running_ || sustained) {
      sample.flags |= FLAG_END_OF_ATTACK;
    }
    if (!running_ || looped) {
      eor_counter_ = phase_increment < 44739242 ? 48 : 1;
    }
    if (eor_counter_) {
      sample.flags |= FLAG_END_OF_RELEASE;
      --eor_counter_;
    }
    // Two special cases for the "pure decay" scenario:
    // END_OF_ATTACK is always true except at the initial trigger.
    if (end_of_attack == 0) {
      sample.flags |= FLAG_END_OF_ATTACK;
    }
    bool triggered = control & CONTROL_GATE_RISING;
    if ((sustained || end_of_attack == 0) && (triggered || looped)) {
      sample.flags &= ~FLAG_END_OF_ATTACK;
    }
    
    output_buffer_.Overwrite(sample);
    if (running_ && !sustained) {
      phase += phase_increment;
      wrap = phase < phase_increment;
    } else {
      wrap = false;
    }
  }

  uni_lp_state_[0] = uni_lp_state_0;
  uni_lp_state_[1] = uni_lp_state_1;
  bi_lp_state_[0] = bi_lp_state_0;
  bi_lp_state_[1] = bi_lp_state_1;
  
  previous_sample_ = sample;
  phase_ = phase;
  phase_increment_ = phase_increment;
  wrap_ = wrap;
  smoothed_slope_ = smoothed_slope;
}


void Generator::FillBufferWavetable() {
  uint8_t size = kBlockSize;
  
  GeneratorSample sample = previous_sample_;
  if (sync_) {
    pitch_ = ComputePitch(phase_increment_);
  } else {
    phase_increment_ = ComputePhaseIncrement(pitch_);
  }

  uint32_t phase = phase_;
  uint32_t sub_phase = sub_phase_;
  uint32_t phase_increment = phase_increment_;
  
  // The grid is only 8x8 rather than 9x9 so we need to scale by 7/8.0
  uint16_t target_x = static_cast<uint16_t>(slope_ + 32768);
  target_x = target_x * 57344 >> 16;
  uint16_t x = x_;
  uint16_t x_increment = (target_x - x) / size;

  uint16_t target_y = static_cast<uint16_t>(shape_ + 32768);
  target_y = target_y * 57344 >> 16;
  uint16_t y = y_;
  uint16_t y_increment = (target_y - y) / size;

  int32_t wf_gain = smoothness_ > 0 ? smoothness_ : 0;
  wf_gain = wf_gain * wf_gain >> 15;
  
  int32_t frequency = ComputeCutoffFrequency(pitch_, smoothness_);
  int32_t f_a = lut_cutoff[frequency >> 7] >> 16;
  int32_t f_b = lut_cutoff[(frequency >> 7) + 1] >> 16;
  int32_t f = f_a + ((f_b - f_a) * (frequency & 0x7f) >> 7);
  int32_t lp_state_0 = bi_lp_state_[0];
  int32_t lp_state_1 = bi_lp_state_[1];
  
  const int16_t* bank = wt_waves + mode_ * 64 * 257 - (mode_ & 2) * 4 * 257;
  while (size--) {
    ++sync_counter_;
    uint8_t control = input_buffer_.ImmediateRead();
    
    // When freeze is high, discard any start/reset command.
    if (!(control & CONTROL_FREEZE)) {
      if (control & CONTROL_GATE_RISING) {
        phase = 0;
        sub_phase = 0;
      }
    }
    
    if (control & CONTROL_CLOCK_RISING) {
      if (sync_) {
        if (range_ == GENERATOR_RANGE_HIGH) {
          ++sync_edges_counter_;
          if (sync_edges_counter_ >= frequency_ratio_.q) {
            sync_edges_counter_ = 0;
            if (sync_counter_ < kSyncCounterMaxTime && sync_counter_) {
              uint64_t increment = frequency_ratio_.p * static_cast<uint64_t>(
                  0xffffffff / sync_counter_);
              if (increment > 0x80000000) {
                increment = 0x80000000;
              }
              target_phase_increment_ = static_cast<uint32_t>(increment);
              local_osc_phase_ = 0;
            }
            sync_counter_ = 0;
          }
        } else {
          if (sync_counter_ >= kSyncCounterMaxTime) {
            phase = 0;
          } else if (sync_counter_) {
            uint32_t predicted_period = sync_counter_ < 480
                ? sync_counter_
                : pattern_predictor_.Predict(sync_counter_);
            uint64_t increment = frequency_ratio_.p * static_cast<uint64_t>(
                0xffffffff / (predicted_period * frequency_ratio_.q));
            if (increment > 0x80000000) {
              increment = 0x80000000;
            }
            phase_increment = static_cast<uint32_t>(increment);
          }
          sync_counter_ = 0;
        }
      } else {
        // Normal behaviour: switch banks.
        uint8_t bank_index = mode_ + 1;
        if (bank_index > 2) {
          bank_index = 0;
        }
        mode_ = static_cast<GeneratorMode>(bank_index);
        bank = wt_waves + mode_ * 64 * 257 - (mode_ & 2) * 4 * 257;
      }
    }
    
    // PLL stuff
    if (sync_ && range_ == GENERATOR_RANGE_HIGH) {
      // Fast tracking of the local oscillator to the external oscillator.
      local_osc_phase_increment_ += static_cast<int32_t>(
          target_phase_increment_ - local_osc_phase_increment_) >> 8;
      local_osc_phase_ += local_osc_phase_increment_;
    
      // Slow phase realignment between the master oscillator and the local
      // oscillator.
      int32_t phase_error = local_osc_phase_ - phase;
      phase_increment = local_osc_phase_increment_ + (phase_error >> 13);
    }
    
    x += x_increment;
    y += y_increment;
  
    if (control & CONTROL_FREEZE) {
      output_buffer_.Overwrite(sample);
      continue;
    }
    
    uint16_t x_integral = x >> 13;
    uint16_t y_integral = y >> 13;
    const int16_t* wave_1 = &bank[(x_integral + y_integral * 8) * 257];
    const int16_t* wave_2 = wave_1 + 257 * 8;
    uint16_t x_fractional = x << 3;
    int32_t y_fractional = (y << 2) & 0x7fff;

    int32_t s = 0;
    for (int32_t subsample = 0; subsample < 4; ++subsample) {
      int32_t y_1 = Crossfade(wave_1, wave_1 + 257, phase, x_fractional);
      int32_t y_2 = Crossfade(wave_2, wave_2 + 257, phase, x_fractional);
      int32_t y_mix = y_1 + ((y_2 - y_1) * y_fractional >> 15);
      int32_t folded = Interpolate1022(
          ws_smooth_bipolar_fold, (y_mix + 32768) << 16);
      y_mix = y_mix + ((folded - y_mix) * wf_gain >> 15);
      s += y_mix * kDownsampleCoefficient[subsample];
      phase += (phase_increment >> 2);
    }
    
    lp_state_0 += f * ((s >> 16) - lp_state_0) >> 15;
    lp_state_1 += f * (lp_state_0 - lp_state_1) >> 15;
    
    sample.bipolar = lp_state_1;
    sample.unipolar = sample.bipolar + 32768;
    sample.flags = 0;
    if (sample.unipolar & 0x8000) {
      sample.flags |= FLAG_END_OF_ATTACK;
    }
    if (sub_phase & 0x80000000) {
      sample.flags |= FLAG_END_OF_RELEASE;
    }
    output_buffer_.Overwrite(sample);
    sub_phase += phase_increment >> 1;
  }
  previous_sample_ = sample;
  phase_ = phase;
  sub_phase_ = sub_phase;
  phase_increment_ = phase_increment;
  x_ = x;
  y_ = y;
  bi_lp_state_[0] = lp_state_0;
  bi_lp_state_[1] = lp_state_1;
}

uint16_t ComputePeak(uint16_t center, uint16_t width, uint16_t x) {
  uint16_t peak;
  if (x < center - width)
    peak = 0;
  else if (x < center)
    peak = 32768 - ((center - x) << 15) / width;
  else if (x < center + width)
    peak = 32768 - ((x - center) << 15) / width;
  else
    peak = 0;
  return peak;
}

template<GeneratorMode mode>
void Generator::FillBufferHarmonic() {

  uint8_t size = kBlockSize;
  
  uint16_t width = static_cast<uint16_t>(smoothness_ << 1);
  width = (width * width) >> 16;

  int32_t reverse = (-smoothness_ << 3) + 32768;
  CONSTRAIN(reverse, 0, UINT16_MAX);

  int32_t phase_increment_end;

  if (sync_) {
    pitch_ = ComputePitch(phase_increment_);
    phase_increment_end = phase_increment_;
  } else {
    phase_increment_end = ComputePhaseIncrement(pitch_);
    local_osc_phase_increment_ = phase_increment_end;
    target_phase_increment_ = phase_increment_end;
  }

  uint16_t center1 = shape_ + 32768;
  uint16_t center2 = slope_ + 32768;

  uint16_t envelope[kNumHarmonics];
  uint16_t antialias[kNumHarmonics];

  // pre-compute spectral envelope
  for (uint8_t harm=0; harm<kNumHarmonics; harm++) {
    uint16_t x = mode == GENERATOR_MODE_AR ?
      (harm << 16) / kNumHarmonicsPowers :
      (harm << 16) / kNumHarmonics;

    // first peak has half the width
    uint16_t peak1 = ComputePeak(center1, width >> 1, x);
    // second peak has half the gain
    uint16_t peak2 = ComputePeak(center2, width, x) >> 1;

    uint16_t a = peak1 > peak2 ? peak1 : peak2;
    uint16_t b = 32768 - a;
    b = (b * b) >> 16;          // wider notches
    b = b * (kNumHarmonics - harm) / kNumHarmonics;
    envelope[harm] = b + (((a - b) * reverse) >> 16);

    // Take care of harmonics which phase increment will be > Nyquist
    const uint32_t kCutoffLow = UINT16_MAX / 2 - UINT16_MAX / 16;
    const uint32_t kCutoffHigh = UINT16_MAX / 2;

    uint32_t pi = abs(phase_increment_end) >> 16;
    pi =
      mode == GENERATOR_MODE_AR ? pi << harm :
      mode == GENERATOR_MODE_LOOPING ? pi * (harm + 1) :
      // mode == GENERATOR_MODE_AD ?
      pi * ((harm << 1) + 1);

    if (pi > kCutoffHigh)
      antialias[harm] = 0;
    else if (pi > kCutoffLow)
      antialias[harm] = UINT16_MAX * (kCutoffHigh - pi)
        / (kCutoffHigh - kCutoffLow);
    else
      antialias[harm] = UINT16_MAX;

    envelope_increment_[harm] = (envelope[harm] - envelope_[harm]) / size;
  }

  int32_t phase_increment_increment = (phase_increment_end - phase_increment_) / size;

  while (size--) {
    sync_counter_++;

    uint8_t control = input_buffer_.ImmediateRead();

    if (control & CONTROL_GATE_RISING) {
      phase_ = 0;
      sub_phase_ = 0;
    }

    if (control & CONTROL_FREEZE) {
      if (!previous_freeze_) {
        RandomizeHarmonicDistribution();
        previous_freeze_ = true;
      }
    } else {
      previous_freeze_ = false;
    }

    // clock input randomizes mode and range if not in PLL mode
    if (control & CONTROL_CLOCK_RISING && !sync_) {
      mode_ = static_cast<GeneratorMode>(Random::GetWord() % 3);
      range_ = static_cast<GeneratorRange>(Random::GetWord() % 3);
    }

    if (sync_) {
      if (control & CONTROL_CLOCK_RISING) {
        ++sync_edges_counter_;
        if (sync_edges_counter_ >= frequency_ratio_.q) {
          sync_edges_counter_ = 0;
          if (sync_counter_ < kSyncCounterMaxTime && sync_counter_) {
            uint64_t increment = frequency_ratio_.p * static_cast<uint64_t>(
                0xffffffff / sync_counter_);
            if (increment > 0x80000000) {
              increment = 0x80000000;
            }
            target_phase_increment_ = static_cast<uint32_t>(increment);
            local_osc_phase_ = 0;
          }
          sync_counter_ = 0;
        }
      }

      // Fast tracking of the local oscillator to the external oscillator.
      local_osc_phase_increment_ += static_cast<int32_t>(
        target_phase_increment_ - local_osc_phase_increment_) >> 5;
      local_osc_phase_ += local_osc_phase_increment_;
      
      // Slow phase realignment between the master oscillator and the local
      // oscillator.
      int32_t phase_error = local_osc_phase_ - phase_;
      phase_increment_ = local_osc_phase_increment_ + (phase_error >> 13);
    }

    int32_t bipolar = 0;
    int32_t unipolar = 0;
    int32_t gain = 0;

    int16_t sine = range_ == GENERATOR_RANGE_HIGH ?
      Interpolate1022(wav_sine1024, phase_) :
      range_ == GENERATOR_RANGE_MEDIUM ?
      Interpolate626(wav_sine64, phase_) :
      Interpolate428(wav_sine16, phase_);

    int32_t tn1 = 32768;
    int32_t tn = sine;

    for (uint8_t harm=0; harm<kNumHarmonics; harm++) {

      envelope_[harm] += envelope_increment_[harm];
      gain += envelope_[harm];

      bipolar += (((tn * envelope_[harm]) >> 16) * antialias[harm]) >> 16;
      unipolar += (((tn * envelope_[harm_permut_[harm]]) >> 16) * antialias[harm]) >> 16;

      int32_t t = tn;
      if (mode == GENERATOR_MODE_AR) { // power of two harmonics
        if (harm == kNumHarmonicsPowers) break;
        if ((harm & 3) == 0)
          tn = Interpolate1121(wav_sine1024, phase_ << harm);
        else
          tn = 2 * ((tn * tn) >> 15) - 32768;
      } else if (mode == GENERATOR_MODE_AD) { // odd harmonics
        tn = ((sine * tn) >> 14) - tn1;
        tn1 = t;
        t = tn;
        tn = ((sine * tn) >> 14) - tn1;
      } else { // GENERATOR_MODE_LOOPING // all harmonics
        tn = ((sine * tn) >> 14) - tn1;
      }

      tn1 = t;
    }

    GeneratorSample s;

    // normalization
    if (gain <= 65536)
      gain = 65536;		// avoids extreme amplifications
    gain += 256;

    s.bipolar = ((bipolar << 13) / gain) << 3;
    s.unipolar = (((unipolar << 13) / gain) << 3) + 32768;
    s.flags = 0;
    if (s.bipolar > 0) {
      s.flags |= FLAG_END_OF_ATTACK;
    }
    if (sub_phase_ & 0x80000000) {
      s.flags |= FLAG_END_OF_RELEASE;
    }
    output_buffer_.Overwrite(s);
    sub_phase_ += phase_increment_ >> 1;
    phase_ += phase_increment_;
    phase_increment_ += phase_increment_increment;
  }
}

void Generator::RandomizeHarmonicDistribution() {
  for(int i=0;i<kNumHarmonics;++i) {
    harm_permut_[i]=i;
  }
  for (int i = kNumHarmonics-1; i >= 0; --i) {
    //generate a random number [0, n-1]
    int j = rand() % (i+1);
    //swap the last element with element at random index
    int temp = harm_permut_[i];
    harm_permut_[i] = harm_permut_[j];
    harm_permut_[j] = temp;
  }
}

uint16_t fold_add(uint16_t a, int16_t b) {
  if (a > 0 && b > 65535 - a) {
    return 65535 - a - b - 1;
  } else if (b < 0 && a < - b) {
    return 65535 - a - b + 1;
  } else {
    return a + b;
  }
}

uint16_t walk_waveshaper(uint16_t shape, bool direction, uint32_t phase_) {
  shape = (shape >> 2) * 3;
  uint16_t idx = shape >> 13;
  uint16_t shape_xfade = shape << 3;

  if (idx == 0) {
    int32_t a = 32767;
    int32_t b = Interpolate115(direction ? wav_spiky_exp_control : wav_bump_exp_control,
                               phase_ >> 17);
    return a + ((b - a) * static_cast<int32_t>(shape_xfade) >> 16);
  } else if (idx == 1) {
    return Crossfade115(direction ? wav_spiky_exp_control : wav_bump_exp_control,
                        wav_spiky_control,
                        phase_ >> 17, shape_xfade);
  } else if (idx == 2) {
    return Crossfade115(wav_spiky_control,
                        wav_linear_control,
                        phase_ >> 17, shape_xfade);
  } else if (idx == 3) {
    return Crossfade115(wav_linear_control,
                        wav_bump_control,
                        phase_ >> 17, shape_xfade);
  } else if (idx == 4) {
    return Crossfade115(wav_bump_control,
                        direction ? wav_bump_exp_control : wav_spiky_exp_control,
                        phase_ >> 17, shape_xfade);
  } else /* if (idx == 5) */ {
    int32_t a = Interpolate115(direction ? wav_bump_exp_control : wav_spiky_exp_control,
                               phase_ >> 17);
    int32_t b = (Interpolate115(wav_bipolar_fold, phase_ >> 17) + 32768) >> 1;
    return a + ((b - a) * static_cast<int32_t>(shape_xfade) >> 16);
  }
}

inline void Generator::RandomizeDelay() {
  uint32_t period = UINT32_MAX / phase_increment_;
  uint32_t delay_ratio = slope_ + 32768;
  delay_ratio = (delay_ratio * delay_ratio) >> 16; // square knob response
  uint32_t max_delay = (period * delay_ratio) >> 16;
  delay_ = ((Random::GetWord() >> 16) * max_delay) >> 11;
  delayed_phase_increment_ = UINT32_MAX / (period + delay_);
}

void Generator::RandomizeDivider() {
  uint16_t skip_prob = slope_ + 32768;
  if (skip_prob > UINT16_MAX - 256)
    divider_ = 1;
  else
    divider_ = Random::GetGeometric(skip_prob) + 1;
}

void Generator::FillBufferRandom() {

  uint8_t size = kBlockSize;
  
  if (sync_) {
    pitch_ = ComputePitch(phase_increment_);
  } else {
    phase_increment_ = ComputePhaseIncrement(pitch_);
    local_osc_phase_increment_ = phase_increment_;
    target_phase_increment_ = phase_increment_;
  }

  while (size--) {
    sync_counter_++;

    uint8_t control = input_buffer_.ImmediateRead();

    // on trigger
    if (control & CONTROL_GATE_RISING) {
      uint16_t skip_prob = slope_ + 32768;
      // start divided osc. after coin toss
      if ((Random::GetWord() >> 16) < skip_prob) {
        running_ = true;
        phase_ = 0;
        divided_phase_ = 0;
      }

      // start delayed osc. after delay
      // or ignore if ongoing delay
      if (!delay_counter_)
        delay_counter_ = 1 + delay_;
    }

    if (delay_counter_) {
      if (delay_counter_ == 1) {
        delayed_phase_ = 0;
        wrap_ = true;
      }
      delay_counter_--;
    }

    if ((control & CONTROL_CLOCK_RISING) && !sync_) {
      range_ = static_cast<GeneratorRange>(Random::GetWord() % 3);
    }

    // on clock in sync mode
    if ((control & CONTROL_CLOCK_RISING) && sync_ && sync_counter_) {
      if (sync_counter_ >= kSyncCounterMaxTime) {
        phase_ = 0;
      } else {
        uint32_t predicted_period = pattern_predictor_.Predict(sync_counter_);
        uint64_t increment = frequency_ratio_.p * static_cast<uint64_t>(
          0xffffffff / (predicted_period * frequency_ratio_.q));
        if (increment > 0x80000000) {
          increment = 0x80000000;
        }
        phase_increment_ = static_cast<uint32_t>(increment);
      }
      sync_counter_ = 0;
    }
    
    // on significant slope or pitch variation
    if (phase_ < abs(phase_increment_) &&
	(abs(slope_ - old_slope_) > 4096 ||
	 abs(pitch_ - old_pitch_) > 512)) {
      old_slope_ = slope_;
      old_pitch_ = pitch_;

      // recompute delay and divider to avoid waiting for next phase
      // to hear the changes
      RandomizeDelay();
      RandomizeDivider();
    }

    // on delayed phase reset
    if (delayed_phase_ < abs(delayed_phase_increment_)) {
      RandomizeDelay();

      // compute next threshold
      int32_t a = pulse_width_ - (slope_ + 32768) / 2;
      CONSTRAIN(a, 0, UINT16_MAX);
      int32_t b = pulse_width_ + (slope_ + 32768) / 2;
      CONSTRAIN(b, 0, UINT16_MAX);
      uint32_t thresh = (Random::GetWord() >> 16) * (b-a) / INT16_MAX + a;
      uint32_t min_thresh = delayed_phase_increment_ / 3000;
      uint32_t max_thresh = UINT16_MAX - (delayed_phase_increment_ / 3000);
      CONSTRAIN(thresh, min_thresh, max_thresh);
      delayed_threshold_ = thresh;

      // compute next value for ch. 1
      uint32_t step_max = 65536 - (smoothness_ + 32768);
      current_value_[0] = value_[0];
      uint16_t rnd = ((Random::GetWord() >> 16) * step_max) >> 16;
      rnd *= walk_direction_[0] ? 1 : -1;
      next_value_[0] = fold_add(next_value_[0], rnd);
      walk_direction_[0] = !walk_direction_[0];
    }

    // on divided phase reset
    if (divided_phase_ < phase_increment_ / divider_) {
      RandomizeDivider();

      // compute next value for ch. 2
      uint32_t step_max = smoothness_ + 32768;
      current_value_[1] = value_[1];
      uint16_t rnd = ((Random::GetWord() >> 16) * step_max) >> 16;
      rnd *= walk_direction_[1] ? 1 : -1;
      next_value_[1] = fold_add(next_value_[1], rnd);
      walk_direction_[1] = !walk_direction_[1];
    }

    // waveshape phase
    uint16_t shape_1 = static_cast<uint16_t>(shape_ + 32768);
    bool direction_1 = next_value_[0] > current_value_[0];
    uint16_t shaped_phase_1 = walk_waveshaper(shape_1, direction_1, delayed_phase_);

    uint16_t shape_2 = static_cast<uint16_t>(65536 - (shape_ + 32768));
    bool direction_2 = next_value_[1] > current_value_[1];
    uint16_t shaped_phase_2 = walk_waveshaper(shape_2, direction_2, divided_phase_);

    // scale phase to random values
    value_[0] = (next_value_[0] - current_value_[0]) *
      shaped_phase_1 / 32768 + current_value_[0];
    value_[1] = (next_value_[1] - current_value_[1]) *
      shaped_phase_2 / 32768 + current_value_[1];

    // compute clocks
    bool clock_ch1 = (delayed_phase_ >> 16) < delayed_threshold_;

    uint32_t min_pw = phase_increment_ / divider_ / 3000;
    uint32_t max_pw = UINT16_MAX - (phase_increment_ / 3000);
    uint32_t pw = pulse_width_;
    CONSTRAIN(pw, min_pw, max_pw);
    bool clock = (phase_ >> 16) < pw;
    bool clock_ch2 = divider_counter_ == 0 && clock;

    // emit sample
    GeneratorSample s;
    s.unipolar = value_[0];
    s.bipolar = value_[1] - 32768;
    s.flags = 0
      | (clock_ch1 ? FLAG_END_OF_ATTACK : 0)
      | (clock_ch2 ? FLAG_END_OF_RELEASE : 0);

    output_buffer_.Overwrite(s);

    /* note: we use running_ and wrap_ to store the state
     * (running/stopped) of resp. the divided and the delayed
     * oscillator */

    // on main phase reset
    if (phase_ < abs(phase_increment_)) {
    }

    // just before main phase reset
    if (running_ && phase_ > UINT32_MAX - phase_increment_) {
      divider_counter_ = (divider_counter_ + 1) % divider_;
      // stop the divided oscillator on reset
      if (divider_counter_ == 0 &&
          ((mode_ == GENERATOR_MODE_AD) ||
           (control & CONTROL_FREEZE) ||
           (mode_ == GENERATOR_MODE_AR && !(control & CONTROL_GATE))))
        running_ = false;
    }

    // just before delayed phase reset
    if (wrap_ && delayed_phase_ > UINT32_MAX - delayed_phase_increment_) {
      // stop the delayed oscillator
      if (((mode_ == GENERATOR_MODE_AD) ||
           (control & CONTROL_FREEZE) ||
           (mode_ == GENERATOR_MODE_AR && !(control & CONTROL_GATE))))
      wrap_ = false;
    }

    // restart the oscillator if needed
    if (!(control & CONTROL_FREEZE) &&
        ((mode_ == GENERATOR_MODE_LOOPING) ||
         (mode_ ==  GENERATOR_MODE_AR && (control & CONTROL_GATE))))
      running_ = wrap_ = true;

    // increment phasors
    if (wrap_) {
      delayed_phase_ += delayed_phase_increment_;
    }

    if (running_) {
      phase_ += phase_increment_;
      divided_phase_ = phase_ / divider_ +
        UINT32_MAX / divider_ * divider_counter_;
    }
  }
}

}  // namespace tides