feat(dsp): add core synthesizer oscillators, wavetable and voice engine
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#include "Oscillator.h"
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namespace serum
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{
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void Oscillator::reset()
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{
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for (auto& v : voices)
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{
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v.phase = 0.0;
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v.detuneRatio = 1.0;
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v.pan = 0.0f;
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v.level = 1.0f;
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}
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activeUnison = 1;
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}
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void Oscillator::noteOn (double freqHz, const OscParams& p, juce::uint32 seed)
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{
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jassert (freqHz > 0.0);
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rng.setSeed (seed);
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const int uni = juce::jlimit (1, kMaxUnison, p.unison);
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activeUnison = uni;
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const double basePhase = (double) p.phase * kTwoPi;
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for (int v = 0; v < uni; ++v)
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{
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// Even phase spacing prevents cancellation across unison voices.
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double offset = (uni > 1) ? ((double) v / (double) uni) * kTwoPi : 0.0;
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double random = rng.nextFloat() * (double) p.randPhase * kTwoPi;
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voices[(size_t) v].phase = basePhase + offset + random;
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// Detune: linear spread in cents, 0..50 cents at full depth.
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double detuneCents = 0.0;
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if (uni > 1)
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detuneCents = (double) p.detune * 50.0 * ((double) (v - (uni - 1) / 2.0) / (double) ((uni - 1) / 2.0));
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voices[(size_t) v].detuneRatio = std::pow (2.0, detuneCents / 1200.0);
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// Stereo spread.
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float panPos = (uni > 1) ? ((float) v / (float) (uni - 1) - 0.5f) * 2.0f * p.spread : 0.0f;
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voices[(size_t) v].pan = panPos;
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// Gain scaling with a centre emphasis for odd unison counts.
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float lvl = 1.0f / std::sqrt ((float) uni);
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if ((uni & 1) && v == uni / 2)
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lvl *= 1.3f;
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voices[(size_t) v].level = lvl;
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}
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}
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float Oscillator::warpPhase (float phase, const OscParams& p) const noexcept
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{
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const float amt = p.warpAmt;
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switch ((WarpMode) p.warp)
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{
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case WarpMode::None: return phase;
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case WarpMode::BendPlus: return phase + amt * 0.5f * std::sin (phase * (float) kTwoPi);
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case WarpMode::BendMinus: return phase - amt * 0.5f * std::sin (phase * (float) kTwoPi);
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case WarpMode::Sync: return std::fmod (phase * (1.0f + amt * 7.0f), 1.0f);
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case WarpMode::Asym:
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if (amt < 0.001f) return phase;
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return std::pow (phase, 1.0f + amt * 3.0f);
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case WarpMode::Mirror:
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{
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const float mirror = 2.0f * std::abs (phase - 0.5f);
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return phase + (mirror - phase) * amt;
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}
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case WarpMode::PWM: return phase;
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case WarpMode::Fold: return phase;
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default: return phase;
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}
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}
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float Oscillator::warpSample (float sample, const OscParams& p) const noexcept
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{
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const float amt = p.warpAmt;
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switch ((WarpMode) p.warp)
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{
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case WarpMode::PWM:
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{
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const float threshold = (2.0f * amt - 1.0f) * 0.9f;
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return std::tanh ((sample - threshold) * 4.0f);
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}
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case WarpMode::Fold:
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return std::sin (sample * (1.0f + amt * 5.0f) * 1.5707963267948966f);
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default:
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return sample;
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}
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}
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void Oscillator::processAdd (const Wavetable& wt, const OscParams& p, double freqHz,
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float& outL, float& outR) noexcept
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{
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if (! p.enabled || p.level <= 0.0f || freqHz <= 0.0)
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return;
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const int uni = juce::jlimit (1, kMaxUnison, p.unison);
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const float framePos = p.wtPos * 255.0f;
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const double phaseInc = kTwoPi * freqHz / sr;
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float accL = 0.0f;
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float accR = 0.0f;
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for (int v = 0; v < uni; ++v)
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{
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auto& sv = voices[(size_t) v];
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sv.phase += phaseInc * sv.detuneRatio;
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sv.phase -= std::floor (sv.phase * (1.0 / kTwoPi)) * kTwoPi;
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if (sv.phase >= kTwoPi) sv.phase -= kTwoPi;
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if (sv.phase < 0.0) sv.phase += kTwoPi;
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float phase01 = (float) (sv.phase * (1.0 / kTwoPi));
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float sample = wt.readSafe (framePos, warpPhase (phase01, p));
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sample = warpSample (sample, p);
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// Constant-power pan.
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const float panAngle = (sv.pan + 1.0f) * 0.5f * 1.5707963267948966f;
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const float panL = std::cos (panAngle);
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const float panR = std::sin (panAngle);
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const float gain = sv.level * p.level;
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accL += sample * gain * panL;
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accR += sample * gain * panR;
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}
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outL += accL;
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outR += accR;
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}
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} // namespace serum
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