MIX(3G)

💖 NAME 💖

okay so bestie, welcome to mix — she linearly interpolates between two values. that's it. that's the whole gig. ✨

she lives in section 3G of the manual, so if you ever need to cite her, it's MIX(3G). 🎀

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🌸 DECLARATION 🌸

here's every single flavor she comes in, no skips, no cuts, all nine of them:

genType mix(genType x, genType y, genType a);

genType mix(genType x, genType y, float a);

genDType mix(genDType x, genDType y, genDType a);

genDType mix(genDType x, genDType y, double a);

genType mix(genType x, genType y, genBType a);

genDType mix(genDType x, genDType y, genBType a);

genIType mix(genIType x, genIType y, genBType a);

genUType mix(genUType x, genUType y, genBType a);

genBType mix(genBType x, genBType y, genBType a);

like yes she has range 💅

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🫶 PARAMETERS 🫶

• x — the start of the range you're interpolating inside. where the journey begins, lowkey.
• y — the end of that range. the destination, the finale, the other end of the vibe. 🌈
• a — the value you use to interpolate between x and y. she's the weight, she's the deciding factor, she's giving main character energy ngl.

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✨ DESCRIPTION ✨

so mix does a linear interpolation between x and y, using a to weight between them. the return value is computed as:

$x \times (1 - a) + y \times a$

periodt. that's the math, that's the formula, don't come for me. 🧮💖

now here's the fun part — the variants of mix where a is genBType select which vector each returned component comes from:

• if a component of a is false, the corresponding component of x is returned.
• if a component of a is true, the corresponding component of y is returned.

and the tea ☕: components of x and y that are not selected are allowed to be invalid floating-point values, and they will have no effect on the results. so like, they're just there, existing, unbothered, not influencing anything. iconic honestly. 💀✨

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👑 VERSION SUPPORT 👑

here's the whole glow-up timeline, every OpenGL Shading Language version, all spelled out (the original ships this as a table and i am NOT about to make you squint at box-drawing characters, so here it is as a list 🎀):

• mix(genType) — slaying since 1.10. ✔ in 1.10, 1.20, 1.30, 1.40, 1.50, 3.30, 4.00, 4.10, 4.20, 4.30, 4.40, and 4.50. she was there from day one, no cap.
• mix(genDType) — not invited until later. - in 1.10, 1.20, 1.30, 1.40, 1.50, 3.30, and 4.00... wait, scratch that, she arrives at 4.00 — ✔ in 4.00, 4.10, 4.20, 4.30, 4.40, and 4.50, and - in everything before 4.00 (1.10, 1.20, 1.30, 1.40, 1.50, 3.30). 🦋
• mix(genIType), mix(genUType), mix(genBType) — the late bloomers fr fr. - in 1.10, 1.20, 1.30, 1.40, 1.50, 3.30, 4.00, 4.10, 4.20, 4.30, and 4.40. then ✔ in 4.50 only. they waited SO long and then showed up flawless. 💅

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🌟 SEE ALSO 🌟

go say hi to her besties:

• min()
• max()

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💜 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 (again, she said it twice, and honestly? respect) 💜

Copyright © 2011-2014 Khronos Group

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and that's the whole page, bestie 🫶 this one came from [FIXME: source] and she's dated 01/03/2018, filed under MIX(3G) — go forth and interpolate responsibly, mwah 💖✨🎀