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use core::ops::{Add, Mul};
use num_traits::real::Real;
/// # Example
/// ```
/// assert_eq!(vec2::dot_values(&1_f32, &1_f32, &1_f32, &1_f32), 2_f32);
/// ```
#[inline(always)]
pub fn dot_values<T>(ax: &T, ay: &T, bx: &T, by: &T) -> T
where
    T: Add<T, Output = T>,
    for<'a, 'b> &'a T: Mul<&'b T, Output = T>,
{
    ax * bx + ay * by
}
/// # Example
/// ```
/// assert_eq!(vec2::len_values_sq(&1_f32, &1_f32), 2_f32);
/// ```
#[inline]
pub fn len_values_sq<T>(x: &T, y: &T) -> T
where
    T: Add<T, Output = T>,
    for<'a, 'b> &'a T: Mul<&'b T, Output = T>,
{
    dot_values(x, y, x, y)
}
/// # Example
/// ```
/// assert_eq!(vec2::inv_len_values(&1_f32, &1_f32), 1_f32 / 2_f32.sqrt());
/// ```
#[inline]
pub fn inv_len_values<T>(x: &T, y: &T) -> T
where
    T: Real,
    for<'a, 'b> &'a T: Mul<&'b T, Output = T>,
{
    let len_sq = len_values_sq(x, y);

    if len_sq.is_zero() {
        T::zero()
    } else {
        T::one() / len_sq.sqrt()
    }
}
/// # Example
/// ```
/// assert_eq!(vec2::len_values(&1_f32, &1_f32), 2_f32.sqrt());
/// ```
#[inline]
pub fn len_values<T>(x: &T, y: &T) -> T
where
    T: Real,
    for<'a, 'b> &'a T: Mul<&'b T, Output = T>,
{
    let len_sq = len_values_sq(x, y);

    if len_sq.is_zero() {
        T::zero()
    } else {
        len_sq.sqrt()
    }
}
/// # Example
/// ```
/// assert_eq!(vec2::len_sq::<f32>(&vec2::new_one()), 2_f32);
/// ```
#[inline(always)]
pub fn len_sq<T>(v: &[T; 2]) -> T
where
    T: Add<T, Output = T>,
    for<'a, 'b> &'a T: Mul<&'b T, Output = T>,
{
    len_values_sq(&v[0], &v[1])
}
/// # Example
/// ```
/// assert_eq!(vec2::dot(&vec2::new_one::<f32>(), &vec2::new_one::<f32>()), 2_f32);
/// ```
#[inline(always)]
pub fn dot<T>(a: &[T; 2], b: &[T; 2]) -> T
where
    T: Add<T, Output = T>,
    for<'a, 'b> &'a T: Mul<&'b T, Output = T>,
{
    dot_values(&a[0], &a[1], &b[0], &b[1])
}
/// # Example
/// ```
/// assert_eq!(vec2::len::<f32>(&vec2::new_one()), 2_f32.sqrt());
/// ```
#[inline(always)]
pub fn len<T>(v: &[T; 2]) -> T
where
    T: Real,
    for<'a, 'b> &'a T: Mul<&'b T, Output = T>,
{
    len_values(&v[0], &v[1])
}
/// # Example
/// ```
/// assert_eq!(vec2::inv_len::<f32>(&vec2::new_one()), 1_f32 / 2_f32.sqrt());
/// ```
#[inline(always)]
pub fn inv_len<T>(v: &[T; 2]) -> T
where
    T: Real,
    for<'a, 'b> &'a T: Mul<&'b T, Output = T>,
{
    inv_len_values(&v[0], &v[1])
}