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//! Matrix storage schemes.

use std::convert::Into;

/// A matrix.
pub trait Matrix {
    /// The element type.
    type Element: Element;

    /// Return the number of rows.
    fn rows(&self) -> usize;

    /// Return the number of columns.
    fn columns(&self) -> usize;
}

/// A sparse matrix.
pub trait Sparse: Matrix + Into<Dense<<Self as Matrix>::Element>> {
    /// Return the number of nonzero elements.
    fn nonzeros(&self) -> usize;
}

/// A square matrix.
pub trait Square: Matrix {
    /// Return the number of rows or columns.
    fn size(&self) -> usize;
}

/// An element of a matrix.
pub trait Element: Copy {
    /// Return the zero element.
    fn zero() -> Self;
}

macro_rules! matrix(
    ($kind:ident, $rows:ident, $columns:ident) => (
        impl<T: ::Element> ::Matrix for $kind<T> {
            type Element = T;

            #[inline]
            fn rows(&self) -> usize {
                self.$rows
            }

            #[inline]
            fn columns(&self) -> usize {
                self.$columns
            }
        }
    );
    ($kind:ident) => (
        matrix!($kind, rows, columns);
    );
);

macro_rules! sparse(
    ($kind:ident, $nonzeros:ident) => (
        impl<T: ::Element> ::Sparse for $kind<T> {
            #[inline]
            fn nonzeros(&self) -> usize {
                self.$nonzeros
            }
        }
    );
    ($kind:ident) => (
        sparse!($kind, nonzeros);
    );
);

macro_rules! square(
    ($kind:ident, $size:ident) => (
        impl<T: ::Element> ::Square for $kind<T> {
            #[inline]
            fn size(&self) -> usize {
                self.$size
            }
        }
    );
    ($kind:ident) => (
        square!($kind, size);
    );
);

macro_rules! element(
    ($kind:ty, $zero:expr) => (
        impl Element for $kind {
            #[inline(always)]
            fn zero() -> Self {
                $zero
            }
        }
    );
    ($kind:ty) => (
        element!($kind, 0);
    );
);

element!(u8);
element!(u16);
element!(u32);
element!(u64);

element!(i8);
element!(i16);
element!(i32);
element!(i64);

element!(f32, 0.0);
element!(f64, 0.0);

element!(isize);
element!(usize);

mod band;
mod compressed;
mod dense;
mod diagonal;
mod triangular;

pub use band::Band;
pub use compressed::{Compressed, CompressedFormat};
pub use dense::Dense;
pub use diagonal::Diagonal;
pub use triangular::{Triangular, TriangularFormat};