ballistics_engine/

spin_drift.rs

use crate::pitch_damping::{
    calculate_damped_yaw_of_repose, calculate_pitch_damping_moment, PitchDampingCoefficients,
};
use crate::spin_decay::{update_spin_rate, SpinDecayParameters};
use std::f64::consts::PI;

/// Components of enhanced spin drift calculation
#[derive(Debug, Clone)]
pub struct SpinDriftComponents {
    pub spin_rate_rps: f64,          // Revolutions per second
    pub spin_rate_rad_s: f64,        // Radians per second
    pub stability_factor: f64,       // Gyroscopic stability (Sg)
    pub yaw_of_repose_rad: f64,      // Equilibrium yaw angle
    pub drift_rate_mps: f64,         // Lateral drift rate (m/s)
    pub total_drift_m: f64,          // Total drift at current time
    pub magnus_component_m: f64,     // Magnus effect contribution
    pub gyroscopic_component_m: f64, // Pure gyroscopic drift
    pub pitch_damping_moment: f64,   // Pitch damping moment (N⋅m)
    pub yaw_convergence_rate: f64,   // Convergence rate to equilibrium (rad/s)
    pub pitch_rate_rad_s: f64,       // Current pitch/yaw rate (rad/s)
}

/// Calculate bullet spin rate from velocity and twist rate
pub fn calculate_spin_rate(velocity_mps: f64, twist_rate_inches: f64) -> (f64, f64) {
    if twist_rate_inches <= 0.0 {
        return (0.0, 0.0);
    }

    // Convert velocity to inches/second
    let velocity_ips = velocity_mps * 39.3701;

    // Calculate revolutions per second
    let spin_rate_rps = velocity_ips / twist_rate_inches;

    // Convert to radians per second
    let spin_rate_rad_s = spin_rate_rps * 2.0 * PI;

    (spin_rate_rps, spin_rate_rad_s)
}

/// Calculate dynamic gyroscopic stability factor using Miller formula
pub fn calculate_dynamic_stability(
    bullet_mass_grains: f64,
    velocity_mps: f64,
    spin_rate_rad_s: f64,
    caliber_inches: f64,
    length_inches: f64,
    air_density_kg_m3: f64,
) -> f64 {
    if spin_rate_rad_s == 0.0 || velocity_mps == 0.0 {
        return 0.0;
    }

    // Convert velocity to fps for Miller formula
    let velocity_fps = velocity_mps * 3.28084;

    // Calculate twist rate in calibers
    if caliber_inches > 0.0 {
        // Back-calculate twist rate from spin rate
        let spin_rps = spin_rate_rad_s / (2.0 * PI);
        let velocity_ips = velocity_fps * 12.0; // inches per second
        let twist_inches = if spin_rps > 0.0 {
            velocity_ips / spin_rps
        } else {
            0.0
        };
        let twist_calibers = if twist_inches > 0.0 {
            twist_inches / caliber_inches
        } else {
            0.0
        };

        // Length to diameter ratio
        let length_calibers = if caliber_inches > 0.0 {
            length_inches / caliber_inches
        } else {
            0.0
        };

        // Miller stability formula (simplified)
        // Sg = 30 * m / (t^2 * d^3 * l * (1 + l^2))
        // Where: m = mass in grains, t = twist in calibers, d = diameter in inches
        //        l = length in calibers

        if twist_calibers == 0.0 || length_calibers == 0.0 {
            return 0.0;
        }

        let numerator = 30.0 * bullet_mass_grains;
        let denominator = twist_calibers.powi(2)
            * caliber_inches.powi(3)
            * length_calibers
            * (1.0 + length_calibers.powi(2));

        if denominator == 0.0 {
            return 0.0;
        }

        // Base stability
        let sg_base = numerator / denominator;

        // Velocity correction (compared to standard 2800 fps)
        let velocity_factor = (velocity_fps / 2800.0).powf(1.0 / 3.0);

        // Atmospheric correction
        // Standard conditions: 59°F, 29.92 inHg = 1.225 kg/m³
        let density_factor = (1.225 / air_density_kg_m3).sqrt();

        // Final stability
        sg_base * velocity_factor * density_factor
    } else {
        0.0
    }
}

/// Calculate the yaw of repose (equilibrium yaw angle)
pub fn calculate_yaw_of_repose(
    stability_factor: f64,
    velocity_mps: f64,
    spin_rate_rad_s: f64,
    wind_velocity_mps: f64,
    pitch_rate_rad_s: f64,
    air_density_kg_m3: f64,
    caliber_inches: f64,
    length_inches: f64,
    mass_grains: f64,
    mach: f64,
    bullet_type: &str,
    use_pitch_damping: bool,
) -> (f64, f64) {
    if stability_factor <= 1.0 || spin_rate_rad_s == 0.0 {
        return (0.0, 0.0);
    }

    // Use enhanced calculation with pitch damping if requested
    if use_pitch_damping && mach > 0.0 {
        // Map bullet types for pitch damping
        let damping_type = match bullet_type.to_lowercase().as_str() {
            "match" => "match_boat_tail",
            "hunting" => "hunting",
            "fmj" => "fmj",
            "vld" => "vld",
            _ => "match_boat_tail",
        };

        return calculate_damped_yaw_of_repose(
            stability_factor,
            velocity_mps,
            spin_rate_rad_s,
            wind_velocity_mps,
            pitch_rate_rad_s,
            air_density_kg_m3,
            caliber_inches,
            length_inches,
            mass_grains,
            mach,
            damping_type,
        );
    }

    // Original calculation (backward compatibility)
    // Crosswind component creates yaw
    let yaw_rad = if wind_velocity_mps == 0.0 {
        // No wind - use typical value for spin drift
        // Yaw develops due to nose following curved trajectory
        0.002 // ~0.1 degrees typical
    } else {
        // Wind-induced yaw
        if velocity_mps > 0.0 {
            (wind_velocity_mps / velocity_mps).atan()
        } else {
            0.0
        }
    };

    // Damping factor based on stability with safe division
    let stability_term = (stability_factor - 1.0).max(0.0).sqrt();
    let damping = 1.0 / (1.0 + stability_term);

    (yaw_rad * damping, 0.0) // No convergence rate in simple model
}

/// Calculate Magnus effect contribution to drift
pub fn calculate_magnus_drift_component(
    velocity_mps: f64,
    spin_rate_rad_s: f64,
    yaw_rad: f64,
    air_density_kg_m3: f64,
    caliber_inches: f64,
    time_s: f64,
    mass_grains: f64,
) -> f64 {
    let diameter_m = caliber_inches * 0.0254;
    let mass_kg = mass_grains * 0.00006479891; // Convert grains to kg

    // Magnus force coefficient (empirical)
    // Varies with Mach number
    let mach = velocity_mps / 343.0; // Approximate speed of sound

    let cmag = if mach < 0.8 {
        0.25
    } else if mach < 1.2 {
        // Transonic reduction
        0.15
    } else {
        // Supersonic
        0.10 + 0.05 * ((mach - 1.2) / 2.0).min(1.0)
    };

    // Spin ratio
    let spin_ratio = (spin_rate_rad_s * diameter_m / 2.0) / velocity_mps;

    // Magnus force
    let magnus_force = if velocity_mps > 0.0 {
        cmag * spin_ratio
            * yaw_rad
            * 0.5
            * air_density_kg_m3
            * velocity_mps.powi(2)
            * PI
            * (diameter_m / 2.0).powi(2)
    } else {
        0.0
    };

    // Convert force to acceleration by dividing by mass
    let magnus_accel = magnus_force / mass_kg;

    // Drift over time (simplified - should integrate)

    0.5 * magnus_accel * time_s.powi(2)
}

/// Calculate pure gyroscopic drift (Poisson effect)
pub fn calculate_gyroscopic_drift(
    stability_factor: f64,
    _yaw_rad: f64,
    velocity_mps: f64,
    time_s: f64,
    is_right_twist: bool,
) -> f64 {
    if stability_factor <= 1.0 || time_s <= 0.0 {
        return 0.0;
    }

    // Litz formula is not reliable for subsonic flight. Disable it.
    let velocity_fps = velocity_mps * 3.28084;
    if velocity_fps < 1125.0 {
        return 0.0;
    }

    // Direction based on twist
    let sign = if is_right_twist { 1.0 } else { -1.0 };

    // Bryan Litz's empirical formula for spin drift
    let base_coefficient = 1.25 * (stability_factor + 1.2);
    let time_factor = time_s.powf(1.83);
    let drift_in = sign * base_coefficient * time_factor;

    // Convert to meters

    drift_in * 0.0254
}

/// Calculate enhanced spin drift with all components
pub fn calculate_enhanced_spin_drift(
    bullet_mass: f64,
    velocity_mps: f64,
    twist_rate: f64,
    bullet_diameter: f64,
    bullet_length: f64,
    is_twist_right: bool,
    time_s: f64,
    air_density: f64,
    crosswind_mps: f64,
    pitch_rate_rad_s: f64,
    use_pitch_damping: bool,
) -> SpinDriftComponents {
    // Calculate initial spin rate (at muzzle)
    let muzzle_velocity = velocity_mps; // Assuming we're passed muzzle velocity
    let (_initial_spin_rps, initial_spin_rad_s) = calculate_spin_rate(muzzle_velocity, twist_rate);

    // Apply spin decay based on time of flight
    let decay_params = SpinDecayParameters::from_bullet_type("match"); // Default to match for now
    let current_spin_rad_s = update_spin_rate(
        initial_spin_rad_s,
        time_s,
        velocity_mps,
        air_density,
        bullet_mass * 15.432358, // Convert to grains
        bullet_diameter,
        bullet_length,
        Some(&decay_params),
    );

    let spin_rps = current_spin_rad_s / (2.0 * PI);
    let spin_rad_s = current_spin_rad_s;

    // Calculate dynamic stability
    let stability = calculate_dynamic_stability(
        bullet_mass,
        velocity_mps,
        spin_rad_s,
        bullet_diameter,
        bullet_length,
        air_density,
    );

    // Calculate Mach number for pitch damping
    let mach = velocity_mps / 343.0; // Approximate speed of sound

    // Determine bullet type (default to match for now)
    let bullet_type = "match";

    // Calculate yaw of repose with pitch damping
    let (yaw_rad, convergence_rate) = calculate_yaw_of_repose(
        stability,
        velocity_mps,
        spin_rad_s,
        crosswind_mps,
        pitch_rate_rad_s,
        air_density,
        bullet_diameter,
        bullet_length,
        bullet_mass,
        mach,
        bullet_type,
        use_pitch_damping,
    );

    // Calculate Magnus component
    let magnus_drift = calculate_magnus_drift_component(
        velocity_mps,
        spin_rad_s,
        yaw_rad,
        air_density,
        bullet_diameter,
        time_s,
        bullet_mass,
    );

    // Calculate gyroscopic component
    let gyro_drift =
        calculate_gyroscopic_drift(stability, yaw_rad, velocity_mps, time_s, is_twist_right);

    // Total drift
    let total_drift = magnus_drift + gyro_drift;

    // Drift rate (derivative)
    let drift_rate = if time_s > 0.0 {
        total_drift / time_s
    } else {
        0.0
    };

    // Calculate pitch damping moment if using enhanced model
    let pitch_damping_moment = if use_pitch_damping && mach > 0.0 {
        let coeffs = PitchDampingCoefficients::from_bullet_type(bullet_type);
        calculate_pitch_damping_moment(
            pitch_rate_rad_s,
            velocity_mps,
            air_density,
            bullet_diameter * 0.0254, // Convert to meters
            bullet_length * 0.0254,   // Convert to meters
            mach,
            &coeffs,
        )
    } else {
        0.0
    };

    SpinDriftComponents {
        spin_rate_rps: spin_rps,
        spin_rate_rad_s: spin_rad_s,
        stability_factor: stability,
        yaw_of_repose_rad: yaw_rad,
        drift_rate_mps: drift_rate,
        total_drift_m: total_drift,
        magnus_component_m: magnus_drift,
        gyroscopic_component_m: gyro_drift,
        pitch_damping_moment,
        yaw_convergence_rate: convergence_rate,
        pitch_rate_rad_s,
    }
}

/// Apply enhanced spin drift acceleration to derivatives
pub fn apply_enhanced_spin_drift(
    derivatives: &mut [f64; 6],
    spin_components: &SpinDriftComponents,
    time_s: f64,
    is_right_twist: bool,
) {
    if time_s > 0.1 {
        // Calculate acceleration from drift
        // Using second derivative of position
        let spin_accel_z = 2.0 * spin_components.drift_rate_mps / time_s;

        // Apply based on twist direction
        let sign = if is_right_twist { 1.0 } else { -1.0 };
        derivatives[5] += sign * spin_accel_z;
    }
}

/// Simplified interface for compatibility with existing code
pub fn compute_enhanced_spin_drift_simple(
    time_s: f64,
    stability: f64,
    velocity_mps: f64,
    twist_rate: f64,
    is_twist_right: bool,
    _caliber: f64,
) -> f64 {
    if twist_rate <= 0.0 {
        return 0.0;
    }

    // Calculate initial spin rate
    let (_, initial_spin_rad_s) = calculate_spin_rate(velocity_mps, twist_rate);

    // Apply simple spin decay (assume 175gr bullet)
    let decay_params = SpinDecayParameters::from_bullet_type("match");
    let spin_rad_s = update_spin_rate(
        initial_spin_rad_s,
        time_s,
        velocity_mps,
        1.225, // Standard air density
        175.0, // Standard bullet weight
        _caliber,
        1.3, // Standard bullet length
        Some(&decay_params),
    );

    // Estimate yaw of repose (use simple model for compatibility)
    let (yaw_rad, _) = calculate_yaw_of_repose(
        stability,
        velocity_mps,
        spin_rad_s,
        0.0,
        0.0,
        1.225,
        _caliber,
        1.3,
        175.0,
        velocity_mps / 343.0,
        "match",
        false,
    );

    // Calculate gyroscopic drift (primary component)

    calculate_gyroscopic_drift(stability, yaw_rad, velocity_mps, time_s, is_twist_right)
}

#[cfg(test)]
mod tests {
    use super::*;

    #[test]
    fn test_calculate_spin_rate() {
        // Test with 1:10 twist at 800 m/s
        let (rps, rad_s) = calculate_spin_rate(800.0, 10.0);

        // 800 m/s = 31496 in/s, divided by 10 = 3149.6 rps
        assert!((rps - 3149.6).abs() < 1.0);
        assert!((rad_s - rps * 2.0 * PI).abs() < 0.1);

        // Test with zero twist rate
        let (rps_zero, rad_s_zero) = calculate_spin_rate(800.0, 0.0);
        assert_eq!(rps_zero, 0.0);
        assert_eq!(rad_s_zero, 0.0);
    }

    #[test]
    fn test_calculate_dynamic_stability() {
        let sg = calculate_dynamic_stability(
            168.0,   // grains
            800.0,   // m/s
            19792.0, // rad/s (from 1:10 twist)
            0.308,   // inches
            1.2,     // inches
            1.225,   // kg/m³
        );

        // Should be > 1.0 for stable bullet
        assert!(sg > 1.0);
        assert!(sg < 10.0); // Reasonable upper bound
    }

    #[test]
    fn test_calculate_yaw_of_repose() {
        let (yaw, _) = calculate_yaw_of_repose(
            2.5,     // Sg
            800.0,   // velocity m/s
            19792.0, // spin rate rad/s
            10.0,    // crosswind m/s
            0.0,     // pitch rate
            1.225,   // air density
            0.308,   // caliber
            1.2,     // length
            168.0,   // mass
            2.33,    // mach
            "match", // bullet type
            false,   // use pitch damping
        );

        // Should be small but non-zero
        assert!(yaw.abs() > 0.0);
        assert!(yaw.abs() < 0.1); // Less than ~6 degrees
    }

    #[test]
    fn test_enhanced_spin_drift_calculation() {
        let components = calculate_enhanced_spin_drift(
            168.0, // mass grains
            800.0, // velocity m/s
            10.0,  // twist rate inches
            0.308, // caliber inches
            1.2,   // length inches
            true,  // right twist
            1.0,   // time s
            1.225, // air density
            10.0,  // crosswind
            0.0,   // pitch rate
            false, // use pitch damping
        );

        // Should produce non-zero drift
        assert!(components.total_drift_m.abs() > 0.0);
        assert!(components.spin_rate_rps > 0.0);
        assert!(components.stability_factor > 0.0);
    }

    #[test]
    fn test_opposite_twist_directions() {
        // Right twist
        let right_drift = calculate_enhanced_spin_drift(
            168.0, 800.0, 10.0, 0.308, 1.2, true, 1.0, 1.225, 0.0, 0.0, false,
        );

        // Left twist
        let left_drift = calculate_enhanced_spin_drift(
            168.0, 800.0, 10.0, 0.308, 1.2, false, 1.0, 1.225, 0.0, 0.0, false,
        );

        // Should have opposite signs for gyroscopic component
        assert!(right_drift.gyroscopic_component_m * left_drift.gyroscopic_component_m < 0.0);
        assert!(
            (right_drift.gyroscopic_component_m.abs() - left_drift.gyroscopic_component_m.abs())
                .abs()
                < 0.001
        );
    }
}