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/// Generate Euclidean rhythm pattern - returns step indices where hits occur
///
/// Distributes `pulses` as evenly as possible across `steps` using Bjorklund's algorithm.
/// This is used extensively in music traditions worldwide and creates mathematically optimal rhythms.
///
/// # Arguments
/// * `pulses` - Number of hits/beats to distribute (k)
/// * `steps` - Total number of steps in the pattern (n)
///
/// # Returns
/// Vector of step indices (0-indexed) where hits occur
///
/// # Common Patterns
///
/// **Traditional World Music:**
/// - **(3, 8)**: Cuban tresillo - [0, 3, 6] or [0, 2, 5] depending on rotation
/// - **(5, 8)**: Cuban cinquillo - [0, 2, 3, 5, 7]
/// - **(5, 12)**: York-Samai pattern (Middle East)
/// - **(7, 16)**: Bossa nova clave variation
///
/// **Electronic/Dance:**
/// - **(4, 16)**: Four-on-floor kick - [0, 4, 8, 12]
/// - **(8, 16)**: Eighth note hi-hats - [0, 2, 4, 6, 8, 10, 12, 14]
/// - **(3, 16)**: Syncopated snare - [0, 5, 11]
/// - **(7, 16)**: Complex hi-hat - creates shifting pattern
///
/// **Try these combinations:**
/// - Kick (4,16) + Snare (3,16) + Hihat (7,16) = Interesting groove
/// - Kick (5,16) + Snare (3,16) + Hihat (13,16) = Complex polyrhythm
///
/// # Recipe: Complete Euclidean Drum Pattern
/// ```
/// use tunes::prelude::*;
/// use tunes::sequences;
/// use tunes::instruments::drums::DrumType;
///
/// let mut comp = Composition::new(Tempo::new(120.0));
///
/// comp.track("euclidean_drums")
/// .drum_grid(16, 0.125, |g| g
/// .sound(DrumType::Kick, &sequences::euclidean::generate(4, 16)) // Four-on-floor
/// .sound(DrumType::Snare, &sequences::euclidean::generate(3, 16)) // Syncopated
/// .sound(DrumType::HiHatClosed, &sequences::euclidean::generate(7, 16)) // Complex
/// .sound(DrumType::Clap, &sequences::euclidean::generate(2, 16))); // Backbeat feel
/// ```
///
/// # Examples
/// ```
/// # use tunes::composition::Composition;
/// # use tunes::composition::timing::Tempo;
/// # use tunes::instruments::drums::DrumType;
/// use tunes::sequences;
///
/// // Classic Cuban tresillo pattern
/// let pattern = sequences::euclidean::generate(3, 8);
/// assert_eq!(pattern, vec![0, 2, 5]);
///
/// // Cuban cinquillo
/// let pattern = sequences::euclidean::generate(5, 8);
/// assert_eq!(pattern, vec![0, 2, 3, 5, 7]);
///
/// // Perfect for drum patterns:
/// # let mut comp = Composition::new(Tempo::new(120.0));
/// comp.track("drums").drum_grid(16, 0.125, |g| g
/// .sound(DrumType::Kick, &sequences::euclidean::generate(4, 16)) // Four-on-floor
/// .sound(DrumType::Snare, &sequences::euclidean::generate(3, 16)) // Syncopated snare
/// .sound(DrumType::HiHatClosed, &sequences::euclidean::generate(7, 16))); // Complex hi-hat
/// ```
///
/// # Usage
/// ```
/// use tunes::sequences::euclidean;
///
/// // Custom parameters
/// let pattern = euclidean::generate(5, 16);
///
/// // Or use presets
/// let kick = euclidean::kick_four_floor();
/// ```
/// Generate Euclidean rhythm pattern - returns step indices where hits occur
///
/// See module-level documentation for details on Euclidean rhythms,
/// musical applications, and common patterns.
/// Generate Euclidean rhythm as a full binary pattern
///
/// Returns a vector where 1 represents a hit and 0 represents a rest.
/// Useful for visualization or when you need the complete pattern.
///
/// # Examples
/// ```
/// use tunes::sequences::euclidean;
/// let pattern = euclidean::pattern(5, 8);
/// // Returns: [1, 0, 1, 1, 0, 1, 1, 0]
/// ```
/// Generate Euclidean rhythm using Bresenham-style algorithm
/// Returns a binary pattern where 1 = pulse, 0 = rest
/// This produces the canonical rotation of the Euclidean rhythm (starting with 1)
// ========== PRESETS ==========
// ========== KICK PATTERNS ==========
/// Four-on-floor kick pattern (4/16) - [0, 4, 8, 12]
/// Syncopated kick pattern (5/16)
/// Sparse kick pattern (3/16)
// ========== SNARE PATTERNS ==========
/// Standard snare pattern (2/16) - backbeat on 2 and 4
/// Syncopated snare pattern (3/16)
/// Complex snare pattern (5/16)
// ========== HI-HAT PATTERNS ==========
/// Eighth note hi-hats (8/16) - steady rhythm
/// Complex hi-hat pattern (11/16) - interesting groove
/// Syncopated hi-hat pattern (7/16)
/// Sparse hi-hat pattern (5/16)
// ========== TRADITIONAL PATTERNS ==========
/// Cuban tresillo (3/8) - classic Latin rhythm
/// Cuban cinquillo (5/8) - complex Latin pattern
/// York-Samai pattern (5/12) - Middle Eastern rhythm
/// Bossa nova variation (7/16)