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    use alga::general::{Field, JoinSemilattice, Lattice, MeetSemilattice, RealField};
    use alga::linear::{AffineSpace, EuclideanSpace};

    use crate::base::allocator::Allocator;
    use crate::base::dimension::DimName;
    use crate::base::{DefaultAllocator, Scalar, VectorN};

    use crate::geometry::Point;

    impl<N: Scalar + Field, D: DimName> AffineSpace for Point<N, D>
    where
        N: Scalar + Field,
        DefaultAllocator: Allocator<N, D>,
    {
        type Translation = VectorN<N, D>;
    }

    impl<N: RealField, D: DimName> EuclideanSpace for Point<N, D>
    where DefaultAllocator: Allocator<N, D>
    {
        type Coordinates = VectorN<N, D>;
        type RealField = N;

        #[inline]
        fn origin() -> Self {
            Self::origin()
        }

        #[inline]
        fn coordinates(&self) -> Self::Coordinates {
            self.coords.clone()
        }

        #[inline]
        fn from_coordinates(coords: Self::Coordinates) -> Self {
            Self::from(coords)
        }

        #[inline]
        fn scale_by(&self, n: N) -> Self {
            self * n
        }
    }

    /*
     *
     * Ordering
     *
     */
    impl<N, D: DimName> MeetSemilattice for Point<N, D>
    where
        N: Scalar + MeetSemilattice,
        DefaultAllocator: Allocator<N, D>,
    {
        #[inline]
        fn meet(&self, other: &Self) -> Self {
            Self::from(self.coords.meet(&other.coords))
        }
    }

    impl<N, D: DimName> JoinSemilattice for Point<N, D>
    where
        N: Scalar + JoinSemilattice,
        DefaultAllocator: Allocator<N, D>,
    {
        #[inline]
        fn join(&self, other: &Self) -> Self {
            Self::from(self.coords.join(&other.coords))
        }
    }

    impl<N, D: DimName> Lattice for Point<N, D>
    where
        N: Scalar + Lattice,
        DefaultAllocator: Allocator<N, D>,
    {
        #[inline]
        fn meet_join(&self, other: &Self) -> (Self, Self) {
            let (meet, join) = self.coords.meet_join(&other.coords);

            (Self::from(meet), Self::from(join))
        }
    }

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