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use core::f32::consts::{FRAC_1_SQRT_2, FRAC_PI_2};
#[allow(unused)]
use vqm::MathMethods;
use vqm::Vector2f32;
#[allow(unused)]
#[derive(Clone, Copy, Debug, PartialEq)]
pub struct PathFollower {
lateral_accel: f32, // Lateral acceleration setpoint in m/s^2
l1_distance: f32, // L1 lead distance, defined by period and damping
nav_bearing: f32, // bearing to L1 reference point
crosstrack_error: f32, // crosstrack error in meters
target_bearing: f32, // the heading setpoint
l1_ratio: f32, // L1 ratio for navigation
k_l1: f32, // L1 control gain for _L1_damping
}
impl PathFollower {
#[allow(unused)]
pub const fn new() -> Self {
Self {
lateral_accel: 0.0,
l1_distance: 20.0,
nav_bearing: 0.0,
crosstrack_error: 0.0,
target_bearing: 0.0,
l1_ratio: 5.0,
k_l1: 2.0,
}
}
}
impl Default for PathFollower {
fn default() -> Self {
Self::new()
}
}
impl PathFollower {
// allow non snake_case so we can use the convention that AB means the vector from A to B.
#![allow(non_snake_case)]
pub fn _navigate_waypoints(&mut self, A: Vector2f32, B: Vector2f32, P: Vector2f32, ground_velocity: Vector2f32) {
// this follows the logic presented in [1]
let mut eta;
// get the direction between the last (visited) and next waypoint
let PB_normalized = (B - P).normalize();
self.target_bearing = (PB_normalized.y).atan2(PB_normalized.x);
// enforce a minimum ground speed of 0.1 m/s to avoid singularities
let ground_speed = ground_velocity.norm().max(0.1);
// calculate the L1 length required for the desired period
self.l1_distance = self.l1_ratio * ground_speed;
// calculate vector from A to B
let mut AB = B - A;
// check if waypoints are on top of each other.
// If yes, skip A and directly continue to B
if AB.norm_squared() < 1.0e-3 {
AB = B - P;
}
AB = AB.normalize();
// calculate the vector from waypoint A to the aircraft (P)
let AP = P - A;
// calculate crosstrack error (output only)
self.crosstrack_error = AB.cross(AP);
// If the current position is in a +-135 degree angle behind waypoint A
// and further away from A than the L1 distance, then A becomes the L1 point.
// If the aircraft is already between A and B normal L1 logic is applied.
// estimate aircraft position WRT to B
let BP_normalized = (P - B).normalize();
// calculate angle of aircraft position vector relative to line
let AB_BP_bearing = BP_normalized.cross(AB).atan2(BP_normalized.dot(AB));
// extension from [2], fly directly to A
let distance_AP = AP.norm();
let along_track_distance = AP.dot(B);
if (distance_AP > self.l1_distance) && (along_track_distance / distance_AP.max(1.0) < -FRAC_1_SQRT_2) {
// calculate eta to fly to waypoint A
// unit vector from waypoint A to current position
let AP_normalized = AP.normalize();
// velocity across / orthogonal to line
let cross_track_velocity = ground_velocity.cross(-AP_normalized);
// velocity along line
let along_track_velocity = ground_velocity.dot(-AP_normalized);
eta = cross_track_velocity.atan2(along_track_velocity);
// bearing from current position to L1 point
self.nav_bearing = (-AP_normalized.y).atan2(-AP_normalized.x);
// If the AB vector and the vector from B to aircraft point in the same
// direction, we have missed the waypoint. At +- 90 degrees we are just passing it.
} else if AB_BP_bearing.abs() < 1.5 {
//math::radians(100.0F)) {
// Extension, fly back to waypoint.
// This corner case is possible if the system was following the AB line from waypoint A to waypoint B,
// and then is switched to manual mode (or otherwise misses the waypoint)
// and from behind the waypoint continues to follow the AB line.
// calculate eta to fly to waypoint B
// velocity across / orthogonal to line
let cross_track_velocity = ground_velocity.cross(-BP_normalized);
// velocity along line
let along_track_velocity = ground_velocity.dot(-BP_normalized);
eta = cross_track_velocity.atan2(along_track_velocity);
// bearing from current position to L1 point
self.nav_bearing = (-BP_normalized.y).atan2(-BP_normalized.x);
} else {
// calculate eta to fly along the line between A and B
// velocity across / orthogonal to line
let cross_track_velocity = ground_velocity.cross(AB);
// velocity along line
let along_track_velocity = ground_velocity.dot(AB);
// calculate eta2 (angle of velocity vector relative to line)
let eta2 = cross_track_velocity.atan2(along_track_velocity);
// calculate eta1 (angle to L1 point)
let cross_track_error = AP.cross(AB);
let sine_eta1 = (cross_track_error / (self.l1_distance).max(0.1)).clamp(-1.0, 1.0);
let eta1 = (sine_eta1).asin();
eta = eta1 + eta2;
// bearing from current position to L1 point
self.nav_bearing = (AB.y).atan2(AB.x) + eta1;
}
// limit angle to +-90 degrees
eta = eta.clamp(-FRAC_PI_2, FRAC_PI_2);
self.lateral_accel = self.k_l1 * ground_speed * ground_speed / self.l1_distance * eta.sin();
}
}
#[cfg(test)]
mod test_traits {
use super::*;
fn _is_normal<T: Sized + Send + Sync + Unpin>() {}
fn is_full<T: Sized + Send + Sync + Unpin + Copy + Clone + Default + PartialEq>() {}
#[test]
fn normal_types() {
is_full::<PathFollower>();
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
#[allow(clippy::float_cmp)]
fn test_new() {
let path_follower = PathFollower::new();
assert_eq!(0.0, path_follower.lateral_accel);
}
}