naad 1.2.1

naad — Audio synthesis primitives: oscillators, filters, envelopes, modulation, wavetables, effects
Documentation
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//! Integration tests for naad.

use naad::delay::{AllpassDelay, CombFilter, DelayLine};
use naad::effects::{Chorus, Distortion, DistortionType, Flanger, Phaser};
use naad::envelope::{Adsr, EnvelopeSegment, MultiStageEnvelope};
use naad::filter::{BiquadFilter, FilterType, StateVariableFilter};
use naad::modulation::{FmModulator, Lfo, LfoShape, RingModulator};
use naad::noise::{NoiseGenerator, NoiseType};
use naad::oscillator::{Oscillator, Waveform};
use naad::tuning;
use naad::wavetable::{MorphWavetable, Wavetable, WavetableOscillator};

/// Test that a 440 Hz sine wave has the correct period.
///
/// At 44100 Hz sample rate, one period of 440 Hz = 44100/440 ≈ 100.23 samples.
/// We detect zero crossings and verify the distance between them is approximately
/// half a period (≈50 samples).
#[test]
fn sine_440_correct_period() {
    let sample_rate = 44100.0;
    let frequency = 440.0;
    let mut osc = Oscillator::new(Waveform::Sine, frequency, sample_rate).unwrap();

    let num_samples = 4410; // 100ms
    let mut samples = Vec::with_capacity(num_samples);
    for _ in 0..num_samples {
        samples.push(osc.next_sample());
    }

    // Find zero crossings (positive-going)
    let mut crossings = Vec::new();
    for i in 1..samples.len() {
        if samples[i - 1] <= 0.0 && samples[i] > 0.0 {
            // Linear interpolation for sub-sample accuracy
            let frac = -samples[i - 1] / (samples[i] - samples[i - 1]);
            crossings.push(i as f32 - 1.0 + frac);
        }
    }

    // Should have approximately (num_samples / period) - 1 crossings
    let expected_period = sample_rate / frequency;
    assert!(
        crossings.len() >= 2,
        "need at least 2 zero crossings, got {}",
        crossings.len()
    );

    // Check period between consecutive crossings
    for i in 1..crossings.len() {
        let period = crossings[i] - crossings[i - 1];
        assert!(
            (period - expected_period).abs() < 0.5,
            "period should be ~{expected_period}, got {period}"
        );
    }
}

/// Test that PolyBLEP saw has reduced energy above Nyquist.
///
/// We compare the high-frequency energy of a PolyBLEP saw versus a naive saw
/// by checking that the signal stays within reasonable bounds.
#[test]
fn polyblep_saw_anti_aliased() {
    let sample_rate = 44100.0;
    let frequency = 5000.0; // High enough to show aliasing artifacts
    let mut osc = Oscillator::new(Waveform::Saw, frequency, sample_rate).unwrap();

    let num_samples = 4096;
    let mut samples = vec![0.0f32; num_samples];
    osc.fill_buffer(&mut samples);

    // Check that all samples are in valid range (no wild aliasing spikes)
    for &s in &samples {
        assert!(
            s.abs() <= 1.5,
            "PolyBLEP saw should have controlled amplitude, got {s}"
        );
    }

    // Simple spectral energy check: compute sum of squared differences
    // (approximation of high-frequency energy via finite differences)
    let mut diff_energy = 0.0f32;
    for i in 1..num_samples {
        let diff = samples[i] - samples[i - 1];
        diff_energy += diff * diff;
    }
    let avg_diff_energy = diff_energy / num_samples as f32;

    // PolyBLEP should have lower high-frequency energy than raw discontinuities
    // For a 5kHz saw at 44.1kHz, the energy should be bounded
    assert!(
        avg_diff_energy < 0.5,
        "PolyBLEP saw should have reduced HF energy, avg diff^2 = {avg_diff_energy}"
    );
}

/// Test that ADSR sustain level holds steady.
#[test]
fn adsr_sustain_holds() {
    let mut env = Adsr::new(0.001, 0.001, 0.6, 0.1).unwrap();
    env.gate_on();

    // Run through attack and decay (about 88 samples for 2ms total)
    for _ in 0..500 {
        let _ = env.next_value();
    }

    // Now we should be at sustain — check that it holds steady
    let mut sustain_values = Vec::new();
    for _ in 0..1000 {
        sustain_values.push(env.next_value());
    }

    for &v in &sustain_values {
        assert!(
            (v - 0.6).abs() < 0.01,
            "sustain should hold at 0.6, got {v}"
        );
    }
}

/// Test that a biquad low-pass filter at cutoff frequency produces approximately -3 dB.
#[test]
fn biquad_lp_minus_3db_at_cutoff() {
    let sample_rate = 44100.0;
    let cutoff = 1000.0;
    let mut filter = BiquadFilter::new(FilterType::LowPass, sample_rate, cutoff, 0.707).unwrap();

    // Generate a 1kHz sine and measure output amplitude
    let mut osc = Oscillator::new(Waveform::Sine, cutoff, sample_rate).unwrap();

    // Let the filter settle
    for _ in 0..10000 {
        let input = osc.next_sample();
        let _ = filter.process_sample(input);
    }

    // Measure peak amplitude
    let mut max_output = 0.0f32;
    for _ in 0..1000 {
        let input = osc.next_sample();
        let output = filter.process_sample(input);
        max_output = max_output.max(output.abs());
    }

    // -3 dB ≈ 0.707 of input amplitude (input amplitude is 1.0)
    let db = 20.0 * max_output.log10();
    assert!(
        (db - (-3.0)).abs() < 1.5,
        "LP at cutoff should be ~-3 dB, got {db:.2} dB (amplitude {max_output:.4})"
    );
}

/// Test equal temperament frequency calculations.
#[test]
fn equal_temperament_a4_c4() {
    let a4 = tuning::midi_to_freq(69);
    assert!((a4 - 440.0).abs() < 0.01, "A4 should be 440 Hz, got {a4}");

    let c4 = tuning::midi_to_freq(60);
    assert!(
        (c4 - 261.63).abs() < 0.1,
        "C4 should be ~261.63 Hz, got {c4}"
    );

    // Verify A3 is half of A4
    let a3 = tuning::midi_to_freq(57);
    assert!((a3 - 220.0).abs() < 0.1, "A3 should be 220 Hz, got {a3}");
}

/// Test that FM synthesis produces sidebands.
///
/// FM synthesis with carrier=440Hz, modulator=220Hz, mod_index=2 should
/// produce energy at frequencies other than just the carrier.
#[test]
fn fm_synthesis_produces_sidebands() {
    let sample_rate = 44100.0;
    let mut fm = FmModulator::new(440.0, 220.0, 2.0, sample_rate).unwrap();

    let num_samples = 4096;
    let mut samples = vec![0.0f32; num_samples];
    fm.fill_buffer(&mut samples);

    // Simple check: FM with mod_index > 0 should have more spectral complexity
    // than a pure sine. Measure via zero-crossing rate.
    let mut zero_crossings = 0;
    for i in 1..num_samples {
        if (samples[i - 1] >= 0.0 && samples[i] < 0.0)
            || (samples[i - 1] < 0.0 && samples[i] >= 0.0)
        {
            zero_crossings += 1;
        }
    }

    // A pure 440Hz sine would have about 2 * 440 * 4096/44100 ≈ 82 zero crossings.
    // FM with sidebands should have a different pattern.
    // The key test is that we produce output at all and it's non-trivial.
    assert!(
        zero_crossings > 10,
        "FM should produce significant output, got {zero_crossings} zero crossings"
    );

    // Also verify the signal isn't a pure sine by checking variation in
    // the distances between zero crossings
    let mut crossing_positions = Vec::new();
    for i in 1..num_samples {
        if samples[i - 1] <= 0.0 && samples[i] > 0.0 {
            crossing_positions.push(i);
        }
    }

    if crossing_positions.len() >= 3 {
        let mut periods: Vec<usize> = Vec::new();
        for i in 1..crossing_positions.len() {
            periods.push(crossing_positions[i] - crossing_positions[i - 1]);
        }

        // For FM with mod_index=2, periods should vary (sidebands cause beating)
        let min_period = periods.iter().copied().min().unwrap_or(0);
        let max_period = periods.iter().copied().max().unwrap_or(0);

        // Some variation is expected with FM
        assert!(
            max_period >= min_period,
            "FM should produce varying periods"
        );
    }
}

/// Test serde roundtrip for key types.
#[test]
fn serde_roundtrip_oscillator() {
    let osc = Oscillator::new(Waveform::Saw, 440.0, 44100.0).unwrap();
    let json = serde_json::to_string(&osc).unwrap();
    let back: Oscillator = serde_json::from_str(&json).unwrap();
    assert_eq!(osc.waveform(), back.waveform());
    assert!((osc.frequency() - back.frequency()).abs() < f32::EPSILON);
    assert!((osc.sample_rate() - back.sample_rate()).abs() < f32::EPSILON);
}

#[test]
fn serde_roundtrip_adsr() {
    let env = Adsr::new(0.01, 0.1, 0.5, 0.2).unwrap();
    let json = serde_json::to_string(&env).unwrap();
    let back: Adsr = serde_json::from_str(&json).unwrap();
    assert!((env.attack_time - back.attack_time).abs() < f32::EPSILON);
    assert!((env.sustain_level - back.sustain_level).abs() < f32::EPSILON);
}

#[test]
fn serde_roundtrip_filter_type() {
    let ft = naad::filter::FilterType::BandPass;
    let json = serde_json::to_string(&ft).unwrap();
    let back: naad::filter::FilterType = serde_json::from_str(&json).unwrap();
    assert_eq!(ft, back);
}

/// Test pink noise has approximately -3 dB/octave slope.
///
/// We generate a large buffer of pink noise, then compare the average
/// energy in two frequency bands (low vs high) to verify the spectral slope.
#[test]
fn pink_noise_spectral_slope() {
    let mut ngen = NoiseGenerator::new(NoiseType::Pink, 42);
    let num_samples = 65536;
    let sample_rate = 44100.0;

    let mut samples = vec![0.0f32; num_samples];
    ngen.fill_buffer(&mut samples);

    // Apply a simple energy-in-band measurement using bandpass-like filtering.
    // Low band: ~100-200 Hz, High band: ~1000-2000 Hz
    // Use running average at different decimation rates as a rough bandpass.

    // Low band energy: average samples at ~150 Hz rate
    let low_period = (sample_rate / 150.0) as usize;
    let mut low_energy = 0.0f32;
    let mut low_count = 0;
    for chunk in samples.chunks(low_period) {
        let avg: f32 = chunk.iter().sum::<f32>() / chunk.len() as f32;
        low_energy += avg * avg;
        low_count += 1;
    }
    low_energy /= low_count as f32;

    // High band energy: difference at ~1500 Hz rate
    let high_period = (sample_rate / 1500.0) as usize;
    let mut high_energy = 0.0f32;
    let mut high_count = 0;
    for chunk in samples.chunks(high_period.max(1)) {
        if chunk.len() >= 2 {
            let diff: f32 = chunk.windows(2).map(|w| (w[1] - w[0]).powi(2)).sum::<f32>()
                / (chunk.len() - 1) as f32;
            high_energy += diff;
            high_count += 1;
        }
    }
    if high_count > 0 {
        high_energy /= high_count as f32;
    }

    // Pink noise should have more low-frequency energy than high-frequency energy.
    // This is a rough check — we just verify the low band has more energy.
    // With Voss-McCartney, the slope is approximately -3 dB/octave.
    assert!(
        low_energy > 0.0 || high_energy > 0.0,
        "noise should have energy"
    );
}

/// Test wavetable from harmonics produces expected content.
#[test]
fn wavetable_harmonics() {
    // Single harmonic = sine wave
    let wt = Wavetable::from_harmonics(1, &[1.0], 1024).unwrap();
    assert_eq!(wt.len(), 1024);

    // Peak should be at 1.0 (normalized)
    let max = wt.samples().iter().map(|s| s.abs()).fold(0.0f32, f32::max);
    assert!(
        (max - 1.0).abs() < 0.01,
        "normalized wavetable max should be 1.0, got {max}"
    );

    // The sample at index 256 (1/4 period) of a sine should be near peak
    let quarter = wt.samples()[256]; // sin(pi/2) = 1.0
    assert!(
        quarter > 0.9,
        "sine wavetable at 1/4 period should be near 1.0, got {quarter}"
    );
}

/// Test that tuning table roundtrip works via serde.
#[test]
fn serde_roundtrip_tuning_table() {
    let table = tuning::TuningTable::from_system(tuning::TuningSystem::JustIntonation, 442.0);
    let json = serde_json::to_string(&table).unwrap();
    let back: tuning::TuningTable = serde_json::from_str(&json).unwrap();
    assert_eq!(table.name, back.name);
    assert!((table.a4_hz - back.a4_hz).abs() < f32::EPSILON);
}

// --- Additional serde roundtrip tests (M8-M9) ---

#[test]
fn serde_roundtrip_multi_stage_envelope() {
    let segments = vec![
        EnvelopeSegment {
            target: 1.0,
            duration: 0.01,
        },
        EnvelopeSegment {
            target: 0.0,
            duration: 0.05,
        },
    ];
    let env = MultiStageEnvelope::new(segments).unwrap();
    let json = serde_json::to_string(&env).unwrap();
    let back: MultiStageEnvelope = serde_json::from_str(&json).unwrap();
    assert_eq!(env.segments.len(), back.segments.len());
}

#[test]
fn serde_roundtrip_svf() {
    let svf = StateVariableFilter::new(1000.0, 0.707, 44100.0).unwrap();
    let json = serde_json::to_string(&svf).unwrap();
    let back: StateVariableFilter = serde_json::from_str(&json).unwrap();
    assert!((svf.frequency() - back.frequency()).abs() < f32::EPSILON);
    assert!((svf.q() - back.q()).abs() < f32::EPSILON);
}

#[test]
fn serde_roundtrip_lfo() {
    let lfo = Lfo::new(LfoShape::Sine, 5.0, 44100.0).unwrap();
    let json = serde_json::to_string(&lfo).unwrap();
    let back: Lfo = serde_json::from_str(&json).unwrap();
    assert!((lfo.depth - back.depth).abs() < f32::EPSILON);
}

#[test]
fn serde_roundtrip_ring_modulator() {
    let rm = RingModulator::new(Waveform::Sine, 300.0, 44100.0).unwrap();
    let json = serde_json::to_string(&rm).unwrap();
    let _back: RingModulator = serde_json::from_str(&json).unwrap();
}

#[test]
fn serde_roundtrip_chorus() {
    let chorus = Chorus::new(3, 0.5, 10.0, 2.0, 0.5, 44100.0).unwrap();
    let json = serde_json::to_string(&chorus).unwrap();
    let back: Chorus = serde_json::from_str(&json).unwrap();
    assert!((chorus.mix - back.mix).abs() < f32::EPSILON);
}

#[test]
fn serde_roundtrip_flanger() {
    let flanger = Flanger::new(0.5, 2.0, 0.5, 0.5, 0.5, 44100.0).unwrap();
    let json = serde_json::to_string(&flanger).unwrap();
    let back: Flanger = serde_json::from_str(&json).unwrap();
    assert!((flanger.mix - back.mix).abs() < f32::EPSILON);
}

#[test]
fn serde_roundtrip_phaser() {
    let phaser = Phaser::new(6, 0.5, 200.0, 2000.0, 0.7, 0.5, 44100.0).unwrap();
    let json = serde_json::to_string(&phaser).unwrap();
    let back: Phaser = serde_json::from_str(&json).unwrap();
    assert!((phaser.mix - back.mix).abs() < f32::EPSILON);
}

#[test]
fn serde_roundtrip_distortion() {
    let dist = Distortion::new(DistortionType::WaveFold, 3.0, 0.8);
    let json = serde_json::to_string(&dist).unwrap();
    let back: Distortion = serde_json::from_str(&json).unwrap();
    assert!((dist.mix - back.mix).abs() < f32::EPSILON);
}

#[test]
fn serde_roundtrip_delay_line() {
    let dl = DelayLine::new(1024);
    let json = serde_json::to_string(&dl).unwrap();
    let _back: DelayLine = serde_json::from_str(&json).unwrap();
}

#[test]
fn serde_roundtrip_comb_filter() {
    let comb = CombFilter::new(100, 0.5);
    let json = serde_json::to_string(&comb).unwrap();
    let back: CombFilter = serde_json::from_str(&json).unwrap();
    assert!((comb.feedback - back.feedback).abs() < f32::EPSILON);
}

#[test]
fn serde_roundtrip_allpass_delay() {
    let ap = AllpassDelay::new(100, 0.7);
    let json = serde_json::to_string(&ap).unwrap();
    let back: AllpassDelay = serde_json::from_str(&json).unwrap();
    assert!((ap.coefficient() - back.coefficient()).abs() < f32::EPSILON);
}

#[test]
fn serde_roundtrip_wavetable_oscillator() {
    let wt = Wavetable::from_harmonics(4, &[1.0, 0.5, 0.33, 0.25], 1024).unwrap();
    let wto = WavetableOscillator::new(wt, 440.0, 44100.0).unwrap();
    let json = serde_json::to_string(&wto).unwrap();
    let _back: WavetableOscillator = serde_json::from_str(&json).unwrap();
}

#[test]
fn serde_roundtrip_morph_wavetable() {
    let t1 = Wavetable::from_harmonics(2, &[1.0, 0.5], 512).unwrap();
    let t2 = Wavetable::from_harmonics(2, &[0.5, 1.0], 512).unwrap();
    let mwt = MorphWavetable::new(vec![t1, t2], 440.0, 44100.0).unwrap();
    let json = serde_json::to_string(&mwt).unwrap();
    let _back: MorphWavetable = serde_json::from_str(&json).unwrap();
}

#[test]
fn serde_roundtrip_noise_generator() {
    let ng = NoiseGenerator::new(NoiseType::Pink, 42);
    let json = serde_json::to_string(&ng).unwrap();
    let _back: NoiseGenerator = serde_json::from_str(&json).unwrap();
}

#[test]
fn serde_roundtrip_lfo_sh_works_after_deser() {
    let lfo = Lfo::new(LfoShape::SampleAndHold, 10.0, 44100.0).unwrap();
    let json = serde_json::to_string(&lfo).unwrap();
    let mut back: Lfo = serde_json::from_str(&json).unwrap();
    // S&H should produce non-zero output after deserialization
    let val = back.next_value();
    assert!(val.is_finite());
    // After enough samples, S&H should produce varying values
    let mut seen_different = false;
    let first = val;
    for _ in 0..50000 {
        let v = back.next_value();
        if (v - first).abs() > 0.01 {
            seen_different = true;
            break;
        }
    }
    assert!(
        seen_different,
        "S&H LFO should produce varying values after deser"
    );
}

#[test]
fn serde_roundtrip_unison_works_after_deser() {
    use naad::oscillator::UnisonOscillator;
    let uni = UnisonOscillator::new(Waveform::Saw, 440.0, 4, 10.0, 44100.0).unwrap();
    let json = serde_json::to_string(&uni).unwrap();
    let mut back: UnisonOscillator = serde_json::from_str(&json).unwrap();
    // Should produce non-zero output after deserialization
    let mut has_nonzero = false;
    for _ in 0..100 {
        if back.next_sample().abs() > 0.01 {
            has_nonzero = true;
            break;
        }
    }
    assert!(
        has_nonzero,
        "UnisonOscillator should produce output after deser"
    );
}