use kfilter::{kalman::Kalman1M, KalmanFilter, KalmanPredictInput};
use nalgebra::{Matrix1, Matrix1x2, Matrix2, Matrix2x1, SMatrix};
use rand::thread_rng;
use rand_distr::Distribution;
fn main() {
let mut k = Kalman1M::new_with_input(
Matrix2::new(1.0, 0.1, 0.0, 1.0),
SMatrix::identity(),
Matrix2x1::new(0.0, 1.0),
Matrix1x2::new(1.0, 0.0),
SMatrix::identity(),
SMatrix::zeros(),
);
let noise = rand_distr::Normal::new(0.0, 1.0).unwrap();
let mut rng = thread_rng();
for i in 0..100 {
let x_real = 0.5 * ((i as f64) / 10.0).powi(2);
let x_predicted = k.predict(Matrix1::new(1.0)).unwrap().x;
let x_measured = x_real + noise.sample(&mut rng);
k.update(Matrix1::new(x_measured)).unwrap();
let x_updated = k.state().x;
println!("{x_real}, {x_measured}, {x_predicted}, {x_updated}");
}
}