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// Copyright 2014-2016 bluss and ndarray developers.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
use libnum::{Zero, One, Float};
use std::fmt;
use std::ops::{Add, Sub, Mul, Div};
use std::ops::{
    AddAssign,
    SubAssign,
    MulAssign,
    DivAssign,
    RemAssign,
};
use ScalarOperand;

/// Elements that support linear algebra operations.
///
/// `'static` for type-based specialization, `Copy` so that they don't need move
/// semantics or destructors, and the rest are numerical traits.
pub trait LinalgScalar :
    'static +
    Copy +
    Zero + One +
    Add<Output=Self> +
    Sub<Output=Self> +
    Mul<Output=Self> +
    Div<Output=Self>
{ }

impl<T> LinalgScalar for T
    where T:
    'static +
    Copy +
    Zero + One +
    Add<Output=T> +
    Sub<Output=T> +
    Mul<Output=T> +
    Div<Output=T>
{ }

/// Floating-point element types `f32` and `f64`.
///
/// Trait `NdFloat` is only implemented for `f32` and `f64` but encompasses as
/// much float-relevant ndarray functionality as possible, including the traits
/// needed for linear algebra and for *right hand side* scalar
/// operations (`ScalarOperand`).
///
/// This trait can only be implemented by `f32` and `f64`.
pub trait NdFloat :
    Float +
    AddAssign + SubAssign + MulAssign + DivAssign + RemAssign +
    fmt::Display + fmt::Debug + fmt::LowerExp + fmt::UpperExp +
    ScalarOperand + LinalgScalar + Send + Sync
{ }

impl NdFloat for f32 { }
impl NdFloat for f64 { }