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/*!
Storage and operations for compile-type Ratio types.
*/

use std::marker::PhantomData;
use typenum::consts::*;
use typenum::int::{NInt, PInt};
use typenum::{Integer, NonZero};

use crate::ops::*;

// --------------------------------
// Trait declarations
// --------------------------------

/// Helper to faciliate working with Ratio types generically.
pub trait Ratio {
    fn numerator() -> i64;
    fn denominator() -> i64;
}

// --------------------------------
// Struct declarations
// --------------------------------

/// Special type to represent a Zero Ratio.
#[derive(Copy, Clone, Debug, Default, Eq, PartialEq)]
pub struct RatioZero;

/// Ratio type with positive, non-zero numerator and denominator.
#[derive(Copy, Clone, Debug, Default, Eq, PartialEq)]
pub struct RatioT<NUM, DEN>
where
    NUM: Integer + NonZero,
    DEN: Integer + NonZero,
{
    _num: PhantomData<NUM>,
    _den: PhantomData<DEN>,
}

// --------------------------------
// Ratio impls
// --------------------------------
impl<NUM, DEN> Ratio for RatioT<NUM, DEN>
where
    NUM: Integer + NonZero,
    DEN: Integer + NonZero,
{
    fn numerator() -> i64 {
        NUM::I64
    }
    fn denominator() -> i64 {
        DEN::I64
    }
}

impl<N, D> NonZero for RatioT<N, D>
where
    N: Integer + NonZero,
    D: Integer + NonZero,
{
}

impl Ratio for RatioZero {
    fn numerator() -> i64 {
        0
    }
    fn denominator() -> i64 {
        0
    }
}

impl Xor<RatioZero> for RatioZero
where
    RatioZero: Default,
{
    type Output = RatioZero;

    fn xor(self, _other: RatioZero) -> Self::Output {
        Default::default()
    }
}

impl<N, D> Xor<RatioT<N, D>> for RatioT<N, D>
where
    N: Integer + NonZero,
    D: Integer + NonZero,
    RatioT<N, D>: Default,
{
    type Output = RatioT<N, D>;

    fn xor(self, _other: RatioT<N, D>) -> Self::Output {
        Default::default()
    }
}

impl<N, D> Xor<RatioZero> for RatioT<N, D>
where
    N: Integer + NonZero,
    D: Integer + NonZero,
    RatioT<N, D>: Default,
{
    type Output = RatioT<N, D>;

    fn xor(self, _other: RatioZero) -> Self::Output {
        Default::default()
    }
}

impl<N, D> Xor<RatioT<N, D>> for RatioZero
where
    N: Integer + NonZero,
    D: Integer + NonZero,
    RatioT<N, D>: Default,
{
    type Output = RatioT<N, D>;

    fn xor(self, _other: RatioT<N, D>) -> Self::Output {
        Default::default()
    }
}

impl<E> ReduceWith<E> for RatioZero {
    type Output = RatioZero;

    fn reduce_with(self, _other: E) -> Self::Output {
        Default::default()
    }
}

impl<N, D> ReduceWith<Z0> for RatioT<N, D>
where
    Self: Default,
    N: Integer + NonZero,
    D: Integer + NonZero,
{
    type Output = RatioZero;

    fn reduce_with(self, _other: Z0) -> Self::Output {
        Default::default()
    }
}

impl<N, D, U> ReduceWith<PInt<U>> for RatioT<N, D>
where
    Self: Default,
    N: Integer + NonZero,
    D: Integer + NonZero,
    U: typenum::Unsigned + NonZero,
{
    type Output = Self;

    fn reduce_with(self, _other: PInt<U>) -> Self::Output {
        Default::default()
    }
}

impl<N, D, U> ReduceWith<NInt<U>> for RatioT<N, D>
where
    Self: Default,
    N: Integer + NonZero,
    D: Integer + NonZero,
    U: typenum::Unsigned + NonZero,
{
    type Output = Self;

    fn reduce_with(self, _other: NInt<U>) -> Self::Output {
        Default::default()
    }
}