Easings

Optional easings that can be applied to change the rate at which values set by triggers change over time.

Formulas

Ease

$$EaseIn(x,easeRate)=\{\begin{array}{lll}0& \text{for}& x\le 0\\ x\ast {0.01}^{(1-easeRate)}& \text{for}& 0<x\le 0.01\\ x^{easeRate}& \text{for}& 0.01<x<1\\ 1& \text{for}& x\ge 1\end{array}$$$$EaseOut(x,easeRate)=\{\begin{array}{lll}0& \text{for}& x\le 0\\ x^{easeRat{e}^{-1}}& \text{for}& 0<x<1\\ 1& \text{for}& x\ge 1\end{array}$$$$EaseInOut(x,easeRate)=\{\begin{array}{ll}EaseIn(2\cdot x,easeRate)/2& x<0.5\\ 1-EaseIn(2-2\cdot x,easeRate)/2& x\ge 0.5\end{array}$$

Elastic

$$ElasticIn(x,easeRate)=\{\begin{array}{lll}0& \text{for}& x\le 0\\ ExponentialIn(x)\cdot \sin (\pi \cdot (0.5+\frac{2-2\cdot x}{easeRate}))& \text{for}& 0<x<1\\ 1& \text{for}& x\ge 1\end{array}$$$$ElasticOut(x,easeRate)=1-ElasticIn(1-x,easeRate)$$$$ElasticInOut(x,easeRate)=\{\begin{array}{ll}ElasticIn(2\cdot x,easeRate)/2& x<0.5\\ 1-ElasticIn(2-2\cdot x,easeRate)/2& x\ge 0.5\end{array}$$

Bounce

$$BounceIn(x)=1-BounceOut(1-x)$$$$BounceOut(x)=\{\begin{array}{lll}0& \text{for}& x\le 0\\ 7.5625\cdot x^2& \text{for}& 0<x<{2.75}^{-1}\\ 7.5625\cdot (x-\frac{1.5}{2.75}{)}^2+0.75& \text{for}& {2.75}^{-1}\le x<\frac{2}{2.75}\\ 7.5625\cdot (x-\frac{2.25}{2.75}{)}^2+0.9375& \text{for}& \frac{2}{2.75}\le x<\frac{2.5}{2.75}\\ 7.5625\cdot (x-\frac{2.625}{2.75}{)}^2+0.984375& \text{for}& \frac{2.5}{2.75}\le x<1\\ 1& \text{for}& x\ge 1\end{array}$$$$BounceInOut(x)=\{\begin{array}{ll}BounceIn(2\cdot x)/2& x<0.5\\ 1-BounceIn(2-2\cdot x)/2& x\ge 0.5\end{array}$$

Exponential

$$ExponentialIn(x)=\{\begin{array}{lll}0& \text{for}& x\le 0\\ 2^{10\cdot (x-1)}& \text{for}& 0<x<1\\ 1& \text{for}& x\ge 1\end{array}$$$$ExponentialOut(x)=1-ExponentialIn(1-x)$$$$ExponentialInOut(x)=\{\begin{array}{ll}ExponentialIn(2\cdot x)/2& x<0.5\\ 1-ExponentialIn(2-2\cdot x)/2& x\ge 0.5\end{array}$$

Sine

$$SineIn(x)=\{\begin{array}{lll}0& \text{for}& x\le 0\\ 1-\cos (0.5\cdot \pi \cdot x)& \text{for}& 0<x<1\\ 1& \text{for}& x\ge 1\end{array}$$$$SineOut(x)=1-SineIn(1-x)$$$$SineInOut(x)=\{\begin{array}{ll}SineIn(2\cdot x)/2& x<0.5\\ 1-SineIn(2-2\cdot x)/2& x\ge 0.5\end{array}$$

Back

$$BackIn(x)=\{\begin{array}{lll}0& \text{for}& x\le 0\\ 3.5949095\cdot x^3-2.5949095\cdot x^2& \text{for}& 0<x<1\\ 1& \text{for}& x\ge 1\end{array}$$$$BackOut(x)=1-BackIn(1-x)$$$$BackInOut(x)=\{\begin{array}{ll}BackIn(2\cdot x)/2& x<0.5\\ 1-BackIn(2-2\cdot x)/2& x\ge 0.5\end{array}$$

Notes

Ease rate input is limited between 0.10 and 20.00 but can be edited externally to other values.

Ease In values below 1% and Ease In Out values below 0.5% and above 99.5% are linearly approximated.

Trigonometric functions are approximated and linearly interpolated using a table of 101 points (1% divisions). This is much more noticeable on elastic easings with very low ease rate and not noticeable in the case of sine easings.