math(3)

📦
version 29.0.6 · 5 versions
, in ubuntu stonking

💖 math(3) 💖

ok bestie we're doing math(3) today — yes it's from the Erlang standard library (stdlib), yes it's literally just vibes and trigonometry, and yes i'm gonna hold your hand through every single function. no cap. 🦋

🌸 NAME 🌸

math — mathematical functions, periodt. ✨

🎀 DESCRIPTION 🎀

so basically this module is the plug 💅 — it gives you an interface to a whole bunch of mathematical functions. that's it. that's the description. iconic of it honestly.

🧚 FUNCTIONS 🧚

acos(X) -> float() when X :: number()

Returns the arc cosine of X in radians. 🌈

Examples

1> math:acos(1.0).
0.0

acosh(X) -> float() when X :: number()

Returns the inverse hyperbolic cosine of X.

Examples

1> math:acosh(1.0).
0.0

asin(X) -> float() when X :: number()

Returns the arc sine of X in radians.

Examples

1> math:asin(0.0).
0.0

asinh(X) -> float() when X :: number()

Returns the inverse hyperbolic sine of X.

Examples

1> math:asinh(0.0).
0.0

atan(X) -> float() when X :: number()

Returns the arc tangent of X in radians.

Examples

1> math:atan(0.0).
0.0

atan2(Y, X) -> float() when Y :: number(), X :: number()

Returns the arc tangent of Y/X in radians — BUT ✨ it uses the signs of both arguments to figure out which quadrant the return value lives in. so like, it knows more than just a plain ratio would. main character behavior fr fr.

Examples

1> math:atan2(0.0, -10.0).
3.141592653589793

atanh(X) -> float() when X :: number()

Returns the inverse hyperbolic tangent of X.

Examples

1> math:atanh(0.0).
0.0

ceil(X) -> float() when X :: number()

Returns the ceiling of X — rounds it UP to the next whole vibe. 📈

Examples

1> math:ceil(7.5).
8.0
2> math:ceil(-5.5).
-5.0
3> math:ceil(1.0).
1.0

cos(X) -> float() when X :: number()

Returns the cosine of X in radians.

Examples

1> math:cos(0.0).
1.0

cosh(X) -> float() when X :: number()

Returns the hyperbolic cosine of X.

Examples

1> math:cosh(0.0).
1.0

erf(X) -> float() when X :: number()

Returns the error function of X. 🧮

See Error function (Wikipedia).

Examples

1> math:erf(0.0).
0.0
2> math:erf(10.0).
1.0

erfc(X) -> float() when X :: number()

Returns 1.0 - erf(X), and it's computed using methods that avoid cancellation for large X 💀✨ (so like, it doesn't fumble the precision when X gets big — smart queen behavior).

Examples

1> math:erfc(0.0).
1.0

exp(X) -> float() when X :: number()

Returns e raised to the power of X. 🌱

Examples

1> math:exp(0).
1.0
2> trunc(100 * math:exp(1)).
271

floor(X) -> float() when X :: number()

Returns the floor of X — rounds it DOWN to the floor, respectfully. 📉

Examples

1> math:floor(9.1).
9.0
2> math:floor(-1.5).
-2.0
3> math:floor(1.0).
1.0

fmod(X, Y) -> float() when X :: number(), Y :: number()

Returns the floating point remainder of X divided by Y. 🍓

Examples

1> math:fmod(10.5, 8.0).
2.5

log(X) -> float() when X :: number()

Returns the natural logarithm of X.

Examples

1> math:log(1.0).
0.0
2> math:log(2.718281828459045).
1.0

log10(X) -> float() when X :: number()

Returns the logarithm of X to base 10.

Examples

1> math:log10(1.0).
0.0
2> math:log10(10.0).
1.0
3> math:log10(100).
2.0

log2(X) -> float() when X :: number()

Returns the logarithm of X to base 2. (hi computer science besties 🫶)

Examples

1> math:log2(1.0).
0.0
2> math:log2(2.0).
1.0
3> math:log2(64).
6.0

pi() -> float()

Returns the ratio of a circle's circumference to its diameter. 🥧 the legend herself.

Examples

1> math:pi().
3.141592653589793

pow(X, N) -> float() when X :: number(), N :: number()

Raise X to the power N. 🔥

Examples

1> math:pow(2, 6).
64.0
2> math:pow(10.0, 3.0).
1000.0

sin(X) -> float() when X :: number()

Returns the sine of X in radians.

Examples

1> math:sin(0.0).
0.0

sinh(X) -> float() when X :: number()

Returns the hyperbolic sine of X.

Examples

1> math:sinh(0.0).
0.0

sqrt(X) -> float() when X :: number()

Returns the non-negative square root of X. 🌸 (non-negative!! she will not hand you a negative root, don't even ask)

Examples

1> math:sqrt(2).
1.4142135623730951
2> math:sqrt(100.0).
10.0

tan(X) -> float() when X :: number()

Returns the tangent of X in radians.

Examples

1> math:tan(0.0).
0.0

tanh(X) -> float() when X :: number()

Returns the hyperbolic tangent of X.

Examples

1> math:tan(0.0).
0.0
not me noticing the tanh example literally calls math:tan(0.0) 🙈 i'm not touching it, i'm just saying. the docs said what they said, and i am a faithful messenger. 💅

tau() -> float()

Returns the ratio of a circle's circumference to its radius. she's 2 * pi but make it ✨aesthetic✨

This constant is equivalent to a full turn when described in radians. 🔄

Examples

1> math:tau().
6.283185307179586
2> math:tau() == 2 * math:pi().
true
⭐ quick vibe check reminder: every one of these bad boys takes number() and hands you back a float(), except pi() and tau() which take nothing at all and just hand you a float(). zero arguments, all attitude. 👑

That's the whole page bestie!! 🎀💖 Go forth and math:sqrt(100.0) with confidence. This lil masterpiece comes courtesy of Ericsson AB, from stdlib version 8.0.4 — love that for them, mwah, bye! 🌈🦋✨

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