eazing 0.0.1

The blazingly fast and mathematically optimized `easing functions` kit.
Documentation 
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//! # The Nonic Curve.
//!
//! An algebric curve of degree nine.
//!
//! #### formula.
//!
//! `p^9`

use crate::easing::Curve;

/// ### The [`InNonic`] Easing Function.
///
/// #### examples.
///
/// ```
/// use eazing::Curve;
/// use eazing::polynomial::nonic::InNonic;
///
/// let p = InNonic.y(1.0);
/// ```
#[derive(Debug)]
pub struct InNonic;

impl Curve for InNonic {
  #[inline]
  fn y(&self, p: f32) -> f32 {
    p * p * p * p * p * p * p * p * p
  }
}

#[test]
fn test_in_nonic() {
  let p = InNonic.y(1.0);

  assert_eq!(p, 1.0);
}

/// ### The [`OutNonic`] Easing Function.
///
/// #### examples.
///
/// ```
/// use eazing::Curve;
/// use eazing::polynomial::nonic::OutNonic;
///
/// let p = OutNonic.y(1.0);
/// ```
#[derive(Debug)]
pub struct OutNonic;

impl Curve for OutNonic {
  #[inline]
  fn y(&self, p: f32) -> f32 {
    let m = p - 1.0;

    1.0 - m * m * m * m * m * m * m * m * m
  }
}

#[test]
fn test_out_nonic() {
  let p = OutNonic.y(1.0);

  assert_eq!(p, 1.0);
}

/// ### The [`InOutNonic`] Easing Function.
///
/// #### examples.
///
/// ```
/// use eazing::Curve;
/// use eazing::polynomial::nonic::InOutNonic;
///
/// let p = InOutNonic.y(1.0);
/// ```
#[derive(Debug)]
pub struct InOutNonic;

impl Curve for InOutNonic {
  #[inline]
  fn y(&self, p: f32) -> f32 {
    let m = p - 1.0;
    let t = p * 2.0;

    if t < 1.0 {
      return p * t * t * t * t * t * t * t * t;
    }

    1.0 - m * m * m * m * m * m * m * m * m * 256.0
  }
}

#[test]
fn test_in_out_nonic() {
  let p = InOutNonic.y(1.0);

  assert_eq!(p, 1.0);
}