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use alga::general::RealField;

use crate::bounding_volume::{BoundingSphere, HasBoundingVolume};
use crate::math::{Isometry, Point};
use crate::shape::Cone;

impl<N: RealField> HasBoundingVolume<N, BoundingSphere<N>> for Cone<N> {
    #[inline]
    fn bounding_volume(&self, m: &Isometry<N>) -> BoundingSphere<N> {
        let bv: BoundingSphere<N> = self.local_bounding_volume();
        bv.transform_by(m)
    }

    #[inline]
    fn local_bounding_volume(&self) -> BoundingSphere<N> {
        let radius =
            (self.radius() * self.radius() + self.half_height() * self.half_height()).sqrt();

        BoundingSphere::new(Point::origin(), radius)
    }
}