SMOOTHSTEP(3G)

✨ SMOOTHSTEP ✨ (a 3G moment, bestie)

okay so real talk, this is the manual page for smoothstep, and it lives in section 3G of the manual. she's a GLSL girlie, she's iconic, and she's about to make your thresholds look ✨expensive✨.

---

🌸 NAME 🌸

smoothstep — perform Hermite interpolation between two values

---

🎀 DECLARATION 🎀

like, here's the whole lineup, copy-paste ready:

genType smoothstep(genType edge0, genType edge1, genType x);

genType smoothstep(float edge0, float edge1, genType x);

genDType smoothstep(genDType edge0, genDType edge1, genDType x);

genDType smoothstep(double edge0, double edge1, genDType x);

---

🦋 PARAMETERS 🦋

• edge0 — the value of the lower edge of the Hermite function. the bottom of the vibe window 🫶
• edge1 — the value of the upper edge of the Hermite function. the top of the vibe window 💅
• x — the source value you're interpolating from. the main character of the equation, no cap 👑

---

💜 DESCRIPTION 💜

okay so smoothstep does smooth Hermite interpolation between 0 and 1 when edge0 < x < edge1. literally the moment when your value is chillin' inside the window and she hands you a buttery-smooth number instead of a harsh jump. this is the serve when you want a threshold function with a smooth transition — no jagged edges, only vibes 🌈

smoothstep is equivalent to exactly this, and I mean exactly:

genType t;  /* Or genDType t; */
t = clamp((x - edge0) / (edge1 - edge0), 0.0, 1.0);
return t * t * (3.0 - 2.0 * t);

🚨 warning, bestie, this one matters: results are undefined if edge0 ≥ edge1. like, don't do it. she will not save you. that's a chaos moment, not a slay moment 💀

---

👑 VERSION SUPPORT 👑

the table didn't survive the glow-up (no tables in this chat, sorry 🥺) but every single cell did, i promise. ✔ means she's supported, - means she isn't there yet.

smoothstep (genType) — across OpenGL Shading Language Version 1.10, 1.20, 1.30, 1.40, 1.50, 3.30, 4.00, 4.10, 4.20, 4.30, 4.40, 4.50:

• 1.10 — -
• 1.20 — -
• 1.30 — ✔
• 1.40 — ✔
• 1.50 — ✔
• 3.30 — ✔
• 4.00 — ✔
• 4.10 — ✔
• 4.20 — ✔
• 4.30 — ✔
• 4.40 — ✔
• 4.50 — ✔

smoothstep (genDType) — same twelve versions, same order:

• 1.10 — -
• 1.20 — -
• 1.30 — -
• 1.40 — -
• 1.50 — -
• 3.30 — -
• 4.00 — ✔
• 4.10 — ✔
• 4.20 — ✔
• 4.30 — ✔
• 4.40 — ✔
• 4.50 — ✔

so like, genType showed up in 1.30 and genDType was fashionably late to the party in 4.00. we respect the journey 🕐✨

---

🔥 SEE ALSO 🔥

• mix()
• step()

go read those too, they're her sisters and they also ate 💅

---

📜 COPYRIGHT 📜

Copyright © 2011-2014 Khronos Group. This material may be distributed subject to the terms and conditions set forth in the Open Publication License, v 1.0, 8 June 1999. http://opencontent.org/openpub/.

Copyright © 2011-2014 Khronos Group

---

and that's the whole page, bestie!! 🎀 source situation is the ever-mysterious [FIXME: source], dated 01/03/2018, and this whole thing is filed under SMOOTHSTEP(3G) — go forth and interpolate smoothly, ily 🫶💖✨