DETERMINANT(3G)

✨ DETERMINANT 💅 (that's the 3G manual, bestie)

okay so like. this page is from the 3G manual, and it's all about determinant — one lil function that does Big Math Energy. let's get into it 🫶

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🌸 NAME 🌸

determinant — calculate the determinant of a matrix. that's it. that's the whole job. iconic.

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🎀 DECLARATION 🎀

here's the whole lineup, exactly as written, no cap:

float determinant(mat2 m);

float determinant(mat3 m);

float determinant(mat4 m);

double determinant(dmat2 m);

double determinant(dmat3 m);

double determinant(dmat4 m);

so like, six whole overloads. float ones for mat2, mat3, mat4, and double ones for dmat2, dmat3, dmat4. the way that precision matters 😭💖

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🦋 PARAMETERS 🦋

• m — Specifies the matrix of which to take the determinant. that's the one and only thing you hand over. give her the matrix. she'll do the rest. 💅

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🌈 DESCRIPTION 🌈

determinant returns the determinant of the matrix m.

literally it. no plot twist. you give it a matrix, it gives you a number back. lowkey the most honest function in the whole shading language. periodt.

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👑 VERSION SUPPORT 👑

okay so this is the part where we find out which OpenGL Shading Language Versions are gonna let you do this. the original laid it out in a big fancy grid, so let me translate that grid into something your eyeballs can vibe with 💀

the versions on the table are: 1.10, 1.20, 1.30, 1.40, 1.50, 3.30, 4.00, 4.10, 4.20, 4.30, 4.40, 4.50.

determinant (float)

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

determinant (double)

• 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 the float girlies showed up in 1.50, and the double girlies had to wait all the way till 4.00. not me feeling bad for the double version 😭 she was patient fr fr.

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💜 SEE ALSO 💜

• transpose()
• inverse()

go read those too, bestie, they're the friend group 🫶

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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 (yes, again) 📜

Copyright © 2011-2014 Khronos Group

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okay that's the whole page!! go forth and compute your determinants, you absolute main character 🌟

and for the cute sign-off: this one came from [FIXME: source], dated 01/03/2018, filed under DETERMINANT(3G) — mwah, bye bestie 💖✨🎀