#[macro_use]
extern crate peroxide;
use peroxide::fuga::*;
fn main() {
let normal = Normal(0f64, 0.1f64);
let normal2 = Normal(0f64, 100f64);
let mut x = seq(0., 99., 1f64);
x = zip_with(|a, b| (a + b).abs(), &x, &normal.sample(x.len()));
let mut y = x.fmap(|t| t.powi(2));
y = zip_with(|a, b| a + b, &y, &normal2.sample(y.len()));
let n_init = vec![1f64];
let data = hstack!(x.clone(), y.clone());
let mut opt = Optimizer::new(data, quad);
let p = opt
.set_init_param(n_init)
.set_max_iter(50)
.set_method(LevenbergMarquardt)
.optimize();
p.print();
opt.get_error().print();
let z = quad(&x, NumberVector::from_f64_vec(p)).to_f64_vec();
let mut plt = Plot2D::new();
plt.set_domain(x)
.insert_image(y)
.insert_image(z)
.set_legend(vec!["Noise", "Fit"])
.set_title("Test ($y=x^2$ with noise)")
.set_path("example_data/lm_test.png")
.set_marker(vec![Point, Line])
.savefig()
.expect("Can't draw a plot");
}
fn quad(x: &Vec<f64>, n: Vec<Number>) -> Vec<Number> {
x.clone()
.into_iter()
.map(|t| Number::from_f64(t))
.map(|t| t.powf(n[0]))
.collect()
}