use num_traits::{Float, FloatConst};
use crate::trajectory::{Trajectory, TrajectoryProfile};
#[derive(Clone, Copy, Debug)]
pub struct ModifiedTrapezoid;
impl<T: Float + FloatConst> Trajectory<T> for ModifiedTrapezoid {
fn profile(&self, distance: T, x: T) -> TrajectoryProfile<T> {
if x < T::zero() {
return TrajectoryProfile::rest(T::zero());
}
let t = x;
let pi = FloatConst::PI();
let t0 = T::zero();
let t1 = T::one() / T::from(8.0).unwrap();
let t2 = T::from(3.0).unwrap() / T::from(8.0).unwrap();
let t3 = T::one() - t2;
let t4 = T::one() - t1;
let t5 = T::one();
let ts1 = t1 - t0;
let ts2 = t2 - t1;
let ts3 = t3 - t2;
let ts5 = t5 - t4;
let am = distance * (T::from(8.0).unwrap() * pi) / (pi + T::from(2.0).unwrap());
let c1 = ts1 * FloatConst::FRAC_2_PI();
let c2 = am * T::from(0.5).unwrap();
let c3 = ts3 / pi;
let c4 = am * T::from(0.5).unwrap();
let c5 = ts5 * FloatConst::FRAC_2_PI();
let v1 = c1 * am;
let s1 = c1 * am * (t1 - c1);
let v2 = am * ts2 + v1;
let s2 = c2 * ts2 * ts2 + v1 * ts2 + s1;
let v3 = v2;
let s3 = distance - s2;
let v4 = v1;
let s4 = distance - s1;
let s5 = distance;
if t < t1 {
let tl = t - t0;
TrajectoryProfile {
s: c1 * am * (tl - c1 * (tl / c1).sin()),
v: c1 * am * (T::one() - (tl / c1).cos()),
a: am * (tl / c1).sin(),
}
}
else if t < t2 {
let tl = t - t1;
TrajectoryProfile {
s: c2 * tl * tl + v1 * tl + s1,
v: am * tl + v1,
a: am,
}
}
else if t < t3 {
let tl = t - t2;
TrajectoryProfile {
s: c3 * c3 * am * (T::one() - (tl / c3).cos()) + v2 * tl + s2,
v: c3 * am * (tl / c3).sin() + v2,
a: am * (tl / c3).cos(),
}
}
else if t < t4 {
let tl = t - t3;
TrajectoryProfile {
s: -c4 * tl * tl + v3 * tl + s3,
v: - am * tl + v3,
a: - am,
}
}
else if t < t5 {
let tl = t - t4;
TrajectoryProfile {
s: c5.powi(2) * am * ((tl/ c5).cos() - T::one()) + v4 * tl + s4,
v: -c5 * am * (tl/ c5).sin() + v4,
a: - am * (tl/ c5).cos(),
}
}
else {
TrajectoryProfile {
s: s5,
v: T::zero(),
a: T::zero(),
}
}
}
}