Smooth Lerp ?

[AkilaeTribe]

Greetings,

is there a special Lerp function that isn’t completely proportional ?

The red arrow is the normal, straightforward Lerp.
The blue is the Lerp I’d like.

Must I code it by myself ? Or has anyone seen something like that ?

[Chris-Sinclair]

I don’t know a curving API is in Unity or not. If you do have to program your own, I’m guessing it’ll be some implementation of bezier curves: Bézier curve - Wikipedia

[Eric5h5]

Use Mathf.SmoothStep…instead of having

Mathf.Lerp(start, end, t);

where t goes from 0 to 1, have this:

Mathf.Lerp(start, end, Mathf.SmoothStep(0.0, 1.0, t));

–Eric

[AkilaeTribe]

Hmm…the description seems to fit my need. I will try it. Thank you !

[anon_43237147]

You could also take a look at iTween and/or the Interpolate functions on the wiki. Both make it trivial to get non-linear interpolations of various types.

[ArtOfWarfare]

@Eric5h5

Use Mathf.SmoothStep…

where t goes from 0 to 1, have this:

Mathf.Lerp(start, end, Mathf.SmoothStep(0.0, 1.0, t));

Eric, does your code not do the exact same thing as Mathf.SmoothStep(start, end, t); but with longer, more difficult to understand code that isn’t as performant?

Correct me if I’m wrong - I’m very new to Unity, but the mathematician in me is screaming that they’re the same.

[TruffelsAndOranges_1]

Sorry if I am resurrecting an old thread, but as I came from Google I feel like this answer should be answered:

@ArtOfWarfare

Eric, does your code not do the exact same thing as Mathf.SmoothStep(start, end, t); but with longer, more difficult to understand code that isn’t as performant?

Correct me if I’m wrong - I’m very new to Unity, but the mathematician in me is screaming that they’re the same.

SmoothStep uses smoothing at the limits, i.e. not linear interpolation. You can read about it here:
http://docs.unity3d.com/ScriptReference/Mathf.SmoothStep.html

[ArtOfWarfare]

@TruffelsAndOranges_1

Sorry if I am resurrecting an old thread, but as I came from Google I feel like this answer should be answered:

SmoothStep uses smoothing at the limits, i.e. not linear interpolation. You can read about it here:
http://docs.unity3d.com/ScriptReference/Mathf.SmoothStep.html

I believe the forum engine changed in the year from when I wrote my post until you read it. I was asking whether

Mathf.Lerp(start, end, Mathf.SmoothStep(0.0, 1.0, t));

and

Mathf.SmoothStep(start, end, t);

Were the same, but the new forum engine displays quotes differently, hiding the portion of the quote I was actually referencing. I modified my prior post to make it clearer that that was what I was asking about.

[samizzo]

If you work through the maths it’s exactly the same. I’m not sure why he did it like that.

[TruffelsAndOranges_1]

@ArtOfWarfare

I believe the forum engine changed in the year from when I wrote my post until you read it. I was asking whether

Mathf.Lerp(start, end, Mathf.SmoothStep(0.0, 1.0, t));

and

Mathf.SmoothStep(start, end, t);

Were the same, but the new forum engine displays quotes differently, hiding the portion of the quote I was actually referencing. I modified my prior post to make it clearer that that was what I was asking about.

Ah. I see now. Thank you. I misunderstood the question.

[Pyrian]

On the other hand, Eric5h5’s example can be productively plugged into other Lerp’s:

Vector3.Lerp(start, end, Mathf.SmoothStep(0.0, 1.0, t));