I came to this channel to learn shader programming, and over several videos, you have fundamentally changed the way I look at math. I cannot thank you enough!

I suggest you put the name (Smoothstep function) in the title because I know a lot of people are interested in this, and it'll be easier to find.

Why I'm watching this at 3 A.M.?

Great and easy to follow explanation of the function. Thank you.

My brain hurts, how is everything a float: including the 2d coordinates and the gradients? I must be thinking about these backwards somehow

Fun Fact this is what Soft Clipping is in Music Production

Since sin/cos algorithms have been optimized to Agrippa and back, wouldn't it be better to just lerp over a cos? You've essentially built an offset quarter cycle cosine, though not incredibly accurate for that purpose. If this were in any way faster than current sin/cos algos, it'd have been adapted into one by now. The upshot is, even if a given cos function is less efficient than this, you'd actually get a proper

I never thought Bill Burr is so good at trigonometry!

Bud its ALL priceless, especially the nitty gritty math details imo. Superb content as always !

great stuff! Thanks!

That was exceptionally well put together. I wish we had such tools back in school, would have helped alot to visualize functions in the early years.

Man, this demonstration in the beginning is probably what lacks in almost all math classes that I've seen out there... really, really amazing!

I wish this was the way math was thought when I was at school, I hope this is how is thought today, great video, more subjects like this would be great to understand the basics, thank you

Literally the most underrated shader programming teacher on the internet. Always digging up these dusty old articles on shaders and it feels like such a huge undertaking. I'm as interested in shaders as this guy is and I had nowhere to output that fascination and craving to learn and now that I found this channel I can fully apply myself by listening to what you have to say. This guy is a must for visual learners. Most shader teachers on youtube are just showing you their work and calling it a tutorial, this guy is the science teacher of shaders. KEEP doing it. The shader community is WAY TOO SILENT and mass respect for making this knowledge free. Mass respect. Stay save man.

Super interesting. You make difficult concepts very easy to understand. If I had had a teacher like you back in my high school days, I'd have enjoyed maths much more. Thanks!

I find this generally usefull not only for shader artists. You are great. Thanks a bunch

this channel is an absolute diamond in the rough

Beautifully explained! Thank you! I spend quite a number of hours trying to wrap my head around what smoothstep, mix and clamp

Your explanations are so easy to understand

Wow, didn't understand it all probably but it helped so much, thanks.