nalgebra/src/traits/basis.rs

/// Traits of objecs which can form a basis.
pub trait Basis
{
    /// Iterate through the canonical basis of the space in which this object lives.
    fn canonical_basis(&fn(Self));

    /// Iterate through a basis of the subspace orthogonal to `self`.
    fn orthonormal_subspace_basis(&self, &fn(Self));

    /// Creates the canonical basis of the space in which this object lives.
    fn canonical_basis_list() -> ~[Self]
    {
        let mut res = ~[];

        do Basis::canonical_basis::<Self> |elem|
        { res.push(elem) }

        res
    }

    /// Creates a basis of the subspace orthogonal to `self`.
    fn orthonormal_subspace_basis_list(&self) -> ~[Self]
    {
        let mut res = ~[];

        do self.orthonormal_subspace_basis |elem|
        { res.push(elem) }

        res
    }
}