use autograv::{SphericalPolar, as_t3, christoffel_symbols, ricci_scalar};
use diffable::coords::Coords;
fn main() {
let metric = SphericalPolar;
let coordinates = Coords([
5.0,
std::f64::consts::FRAC_PI_3,
std::f64::consts::FRAC_PI_2,
]);
let christoffel = as_t3::<3>(&christoffel_symbols(&metric, &coordinates));
println!("Γ^r_θθ = {}", christoffel[0][1][1]);
println!("Ricci scalar = {}", ricci_scalar(&metric, &coordinates));
assert!((christoffel[0][1][1] + 5.0).abs() < 1e-12);
assert_eq!(ricci_scalar(&metric, &coordinates), 0.0);
}