# JavaScript How to lerp back and forth between two values X,Y in a loop? lerp back and forth unity,lerp back and forth,unity3d

The basic formula for linear interpolation would be something like

``````InterpolatedValue = X*t + Y*(1-t)
``````

where `X` and `Y` are the values to be interpolated between and `t` is a parameter between `0` and `1` determining the degree of interpolation; `0` yields `X` and `1` yields `Y`. Furthermore, you would like to have some periodic movement with a period length of `5`, alternating the direction of interpolation; this can be achieved as follows. If `t` is a nonnegative number growing over time, calculate

``````t' = t - t / 10
``````

to remove all previous periods which have occured and

``````t'' = t'     : t' in [0,5)
5 - t' : t' in [5,10)
``````

and afterwards set

``````t''' = t' / 5
``````

to normalize the parameter into `[0,1]` and use the basic interpolation formula from the beginning.

Note that linear interpolation and various other methods are collected here.

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