math(3erl)

💖 NAME 💖

math — Mathematical functions. Yes bestie, that's the whole name, she's iconic like that. ✨

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🦋 DESCRIPTION 🦋

Okay so real talk: this module is basically a little doorway into a whole pile of mathematical functions. It provides an interface to a number of mathematical functions. That's it, that's the gig. 🎀

🙈 Note (read this one, fr fr)

Not all functions are provided on all platforms. In particular, the erf/1 and erfc/1 functions are not provided on Windows. So if you're on Windows and those two are giving "who is she" energy — that's why. 😭

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✨ EXPORTS ✨

Okay so this next bunch all share the same glow-up: they're a collection of mathematical functions that return floats, and the arguments are numbers. Every single one of them. No cap. 🫶

• acos(X) -> float() 💅
• acosh(X) -> float() 💅
• asin(X) -> float() 💅
• asinh(X) -> float() 💅
• atan(X) -> float() 💅
• atan2(Y, X) -> float() 💅
• atanh(X) -> float() 💅
• ceil(X) -> float() 💅
• cos(X) -> float() 💅
• cosh(X) -> float() 💅
• exp(X) -> float() 💅
• floor(X) -> float() 💅
• fmod(X, Y) -> float() 💅
• log(X) -> float() 💅
• log10(X) -> float() 💅
• log2(X) -> float() 💅
• pow(X, Y) -> float() 💅
• sin(X) -> float() 💅
• sinh(X) -> float() 💅
• sqrt(X) -> float() 💅
• tan(X) -> float() 💅
• tanh(X) -> float() 💅

Types for the whole squad above:

Y = X = number()

A collection of mathematical functions that return floats. Arguments are numbers. Periodt. ✨

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🌸 erf(X) -> float()

Types:

X = number()

Returns the error function of X, where:

erf(X) = 2/sqrt(pi)*integral from 0 to X of exp(-t*t) dt.

She's math. She's mysterious. Copy the formula exactly, bestie, don't improvise. 💜

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🍓 erfc(X) -> float()

Types:

X = number()

So erfc(X) returns 1.0 - erf(X), and the way it's computed uses methods that avoid cancellation for large X. Which is lowkey the whole point — big X energy handled gracefully. 👑

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⭐ pi() -> float()

A useful number. That's literally the documentation. A useful number. And honestly? She ate. 🥧

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💀 LIMITATIONS 💀

As these are the C library, the same limitations apply. So whatever the C library is going through, we're going through it together. No extra promises, no cap. 🫶

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Quick vibe check 🎀: every function up there returns a float(), the args are number(), and the shared description applies to that whole big list — don't forget the Windows situation with erf/1 and erfc/1. That's the tea. ☕

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And that's the page, bestie! This whole thing is Ericsson AB's work — stdlib version 4.3.1.3, and it's the math page from the Erlang Module Definition set, aka math(3erl). Go be mathematically iconic. 💖✨🦋🌸🎀