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use crate::constants::{AIR_DENSITY_SEA_LEVEL, SPEED_OF_SOUND_MPS};
/// Components of aerodynamic jump calculation
#[derive(Debug, Clone, Copy)]
pub struct AerodynamicJumpComponents {
pub vertical_jump_moa: f64, // Vertical displacement in MOA at 100 yards
pub horizontal_jump_moa: f64, // Horizontal displacement in MOA at 100 yards
pub jump_angle_rad: f64, // Total angular displacement in radians
pub magnus_component_moa: f64, // Magnus effect contribution
pub yaw_component_moa: f64, // Initial yaw contribution
pub stabilization_factor: f64, // How quickly projectile stabilizes (0-1)
}
/// Calculate aerodynamic jump for a spinning projectile.
///
/// Aerodynamic jump is the displacement of the projectile's trajectory
/// as it transitions from constrained motion in the barrel to free flight.
pub fn calculate_aerodynamic_jump(
muzzle_velocity_mps: f64,
spin_rate_rad_s: f64,
crosswind_mps: f64,
caliber_m: f64,
mass_kg: f64,
barrel_length_m: f64,
twist_rate_calibers: f64,
is_right_twist: bool,
initial_yaw_rad: f64,
air_density_kg_m3: f64,
) -> AerodynamicJumpComponents {
if muzzle_velocity_mps <= 0.0
|| caliber_m <= 0.0
|| mass_kg <= 0.0
|| twist_rate_calibers <= 0.0
{
return AerodynamicJumpComponents {
vertical_jump_moa: 0.0,
horizontal_jump_moa: 0.0,
jump_angle_rad: 0.0,
magnus_component_moa: 0.0,
yaw_component_moa: 0.0,
stabilization_factor: 0.0,
};
}
// Calculate Magnus force coefficient
let mach = muzzle_velocity_mps / SPEED_OF_SOUND_MPS;
let magnus_coeff = if mach < 0.8 {
0.25
} else if mach < 1.2 {
0.15 // Reduced in transonic
} else {
0.20
};
// Spin parameter (non-dimensional)
let spin_param = (spin_rate_rad_s * caliber_m / 2.0) / muzzle_velocity_mps;
// Effective yaw angle during muzzle exit
let crosswind_yaw = if crosswind_mps != 0.0 {
(crosswind_mps / muzzle_velocity_mps).atan()
} else {
0.0
};
let total_yaw_rad = crosswind_yaw + initial_yaw_rad;
// Magnus force during barrel exit
let area = std::f64::consts::PI * (caliber_m / 2.0).powi(2);
let magnus_force = 0.5
* air_density_kg_m3
* muzzle_velocity_mps.powi(2)
* area
* magnus_coeff
* spin_param
* total_yaw_rad.sin();
// Time for projectile to clear muzzle
let exit_time = 2.0 * barrel_length_m / muzzle_velocity_mps;
// Stabilization distance
let stabilization_calibers = 20.0 / (twist_rate_calibers / 10.0).sqrt();
let stabilization_distance = stabilization_calibers * caliber_m;
let stabilization_time = stabilization_distance / muzzle_velocity_mps;
// Total effective time
let effective_time = exit_time + stabilization_time;
// Calculate jump displacement. Direction comes from the crosswind, falling back to the yaw
// direction when there is no crosswind — signum(0.0) == +1.0 would otherwise impose a phantom
// positive direction for pure-yaw (no-wind) inputs.
let dir_sign = if crosswind_mps != 0.0 {
crosswind_mps.signum()
} else {
total_yaw_rad.signum()
};
let vertical_sign = if is_right_twist { dir_sign } else { -dir_sign };
// Magnus acceleration
let magnus_accel = magnus_force / mass_kg;
// Enhanced calculation accounting for barrel exit dynamics
let lever_factor = (barrel_length_m / caliber_m) * 0.1;
let magnus_enhancement = 50.0; // Calibrated to match empirical data
// Vertical displacement
let mut vertical_jump_m = magnus_enhancement
* lever_factor
* vertical_sign
* magnus_accel.abs()
* effective_time.powi(2);
// Add yaw-induced component
if total_yaw_rad != 0.0 {
let yaw_contribution = total_yaw_rad.abs() * barrel_length_m * 0.5;
vertical_jump_m += vertical_sign * yaw_contribution;
}
// Horizontal component (smaller effect)
let horizontal_jump_m = 0.25 * vertical_jump_m * (2.0 * total_yaw_rad).sin();
// Convert to MOA at 100 yards
const YARDS_TO_M: f64 = 0.9144;
const MOA_PER_RADIAN: f64 = 3437.7467707849; // 1 / 0.0002908882
let range_100y = 100.0 * YARDS_TO_M;
let vertical_angle_rad = vertical_jump_m / range_100y;
let horizontal_angle_rad = horizontal_jump_m / range_100y;
let vertical_jump_moa = vertical_angle_rad * MOA_PER_RADIAN;
let horizontal_jump_moa = horizontal_angle_rad * MOA_PER_RADIAN;
// Total jump angle
let total_jump_rad = (vertical_angle_rad.powi(2) + horizontal_angle_rad.powi(2)).sqrt();
// Component breakdown
let magnus_component_moa = vertical_jump_moa.abs() * 0.8;
let yaw_component_moa = vertical_jump_moa.abs() * 0.2;
// Stabilization factor
let caliber_in = caliber_m / 0.0254;
// mass_kg -> grains uses the kilograms->grains factor (15432.358), NOT the grams->grains
// factor (15.432); the latter made sg_approx ~1000x too small so stabilization_factor
// collapsed to ~0 for every real projectile. (Simplified Sg: length terms omitted.)
let sg_approx =
30.0 * mass_kg * 15432.358 / (twist_rate_calibers.powi(2) * caliber_in.powi(3));
let stabilization_factor = (sg_approx / 1.5).min(1.0);
AerodynamicJumpComponents {
vertical_jump_moa,
horizontal_jump_moa,
jump_angle_rad: total_jump_rad,
magnus_component_moa,
yaw_component_moa,
stabilization_factor,
}
}
/// Calculate sight corrections needed to compensate for aerodynamic jump
// `!(x > 0.0)` is used intentionally instead of `x <= 0.0`: the negated form is also true for
// NaN (NaN comparisons are always false), so it correctly rejects NaN as well as non-positive
// inputs. `x <= 0.0` would let NaN through. Hence the clippy allow below.
#[allow(clippy::neg_cmp_op_on_partial_ord)]
pub fn calculate_sight_correction_for_jump(
jump_components: &AerodynamicJumpComponents,
zero_range_m: f64,
sight_height_m: f64,
) -> (f64, f64) {
// Guard a non-positive (or NaN) zero range (public API): 91.44 / 0 would be Inf, poisoning the
// returned corrections.
if !(zero_range_m > 0.0) {
return (0.0, 0.0);
}
// Range factor
let range_factor = 91.44 / zero_range_m; // 100 yards / zero range
// Sight corrections (opposite of jump direction)
let mut vertical_correction = -jump_components.vertical_jump_moa * range_factor;
let horizontal_correction = -jump_components.horizontal_jump_moa * range_factor;
// Account for sight height
let sight_factor = 1.0 + (sight_height_m / 0.05);
vertical_correction *= sight_factor;
(vertical_correction, horizontal_correction)
}
/// Calculate sensitivity to crosswind for aerodynamic jump (MOA per mph)
pub fn calculate_crosswind_jump_sensitivity(
muzzle_velocity_mps: f64,
spin_rate_rad_s: f64,
caliber_m: f64,
mass_kg: f64,
twist_rate_calibers: f64,
is_right_twist: bool,
) -> f64 {
const MPH_TO_MPS: f64 = 0.44704;
let crosswind_1mph = MPH_TO_MPS;
let jump = calculate_aerodynamic_jump(
muzzle_velocity_mps,
spin_rate_rad_s,
crosswind_1mph,
caliber_m,
mass_kg,
0.6, // Typical 24" barrel
twist_rate_calibers,
is_right_twist,
0.0, // No initial yaw
AIR_DENSITY_SEA_LEVEL,
);
jump.vertical_jump_moa.abs()
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_aerodynamic_jump_zero_conditions() {
// Test with no crosswind
let jump = calculate_aerodynamic_jump(
800.0, // velocity
1000.0, // spin rate
0.0, // no crosswind
0.00762, // .30 cal
0.01134, // 175gr
0.6, // barrel length
32.47, // twist rate in calibers
true, // right twist
0.0, // no initial yaw
1.225, // air density
);
assert_eq!(jump.vertical_jump_moa, 0.0);
assert!(jump.horizontal_jump_moa.abs() < 0.001);
}
#[test]
fn test_aerodynamic_jump_with_crosswind() {
// Test with 10 mph right crosswind
let jump = calculate_aerodynamic_jump(
800.0, // velocity
17593.0, // spin rate for 1:10 twist
4.4704, // 10 mph crosswind
0.00782, // .308 cal
0.01134, // 175gr
0.6096, // 24" barrel
32.47, // twist rate in calibers
true, // right twist
0.0, // no initial yaw
1.225, // air density
);
// Right twist + right wind should give positive (upward) jump
assert!(jump.vertical_jump_moa > 0.0);
// Just check that we have some stabilization
assert!(jump.stabilization_factor > 0.0);
}
#[test]
fn test_opposite_twist_direction() {
let crosswind = 4.4704; // 10 mph
// Right twist
let jump_right = calculate_aerodynamic_jump(
800.0, 17593.0, crosswind, 0.00782, 0.01134, 0.6096, 32.47, true, 0.0, 1.225,
);
// Left twist
let jump_left = calculate_aerodynamic_jump(
800.0, 17593.0, crosswind, 0.00782, 0.01134, 0.6096, 32.47, false, 0.0, 1.225,
);
// Opposite twist should give opposite vertical jump
assert!((jump_right.vertical_jump_moa + jump_left.vertical_jump_moa).abs() < 0.001);
}
#[test]
fn test_sight_correction() {
let jump = AerodynamicJumpComponents {
vertical_jump_moa: 0.5,
horizontal_jump_moa: 0.1,
jump_angle_rad: 0.0001,
magnus_component_moa: 0.4,
yaw_component_moa: 0.1,
stabilization_factor: 0.9,
};
let (vert, horiz) = calculate_sight_correction_for_jump(
&jump, 274.32, // 300 yards
0.05, // 2" sight height
);
// Corrections should be opposite of jump
assert!(vert < 0.0);
assert!(horiz < 0.0);
}
#[test]
fn test_crosswind_sensitivity() {
let sensitivity = calculate_crosswind_jump_sensitivity(
800.0, // velocity
17593.0, // spin rate
0.00782, // caliber
0.01134, // mass
32.47, // twist rate
true, // right twist
);
// Should be positive and reasonable (typically 0.01-0.1 MOA/mph)
assert!(sensitivity > 0.0);
assert!(sensitivity < 0.5);
}
}