Stdlib.Complex(3)

💖 Stdlib.Complex(3) 💖

bestie, this is the OCaml library page for Stdlib.Complex — the complex-number module that's lowkey serving math main-character energy. it's giving complex-plane couture, no cap ✨

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🌸 NAME 🌸

Stdlib.Complex — no description (yes, the manpage itself said no description; mysterious icon behavior, we respect it 💅).

🎀 Module 🎀

Module Stdlib.Complex — that's the module we're talking about, periodt.

✨ Documentation ✨

Module Complex : (module Stdlib__Complex) — yes bestie, the alias reveal 🫶

type t = {
 re : float ;
 im : float ;
 }

The type of complex numbers. re is the real part and im is the imaginary part. 🎀

• val zero : t — the complex number 0. zero bestie.
• val one : t — the complex number 1. iconic.
• val i : t — the complex number i. imaginary legend behavior.
• val neg : t -> t — unary negation. flip the sign, slay.
• val conj : t -> t — conjugate: given the complex x + i.y, returns x - i.y. mirror moment ✨
• val add : t -> t -> t — addition. putting things together, we love to see it.
• val sub : t -> t -> t — subtraction. taking things away, okay.
• val mul : t -> t -> t — multiplication. math girlies rise.
• val inv : t -> t — multiplicative inverse (1/z). reciprocal realness.
• val div : t -> t -> t — division. sharing is caring but with numbers.
• val sqrt : t -> t — square root. the result x + i.y is such that x > 0 or x = 0 and y >= 0. ⚠️ this function has a discontinuity along the negative real axis. (yes, dramatic but true.)
• val norm2 : t -> float — norm squared: given x + i.y, returns x^2 + y^2. squared, not sorry.
• val norm : t -> float — norm: given x + i.y, returns sqrt(x^2 + y^2). the actual norm vibe check.
• val arg : t -> float — argument. the argument of a complex number is the angle in the complex plane between the positive real axis and a line passing through zero and the number. this angle ranges from -pi to pi. ⚠️ this function has a discontinuity along the negative real axis. angle tea 🫖
• val polar : float -> float -> t — polar norm arg returns the complex having norm norm and argument arg. polar coords, cute.
• val exp : t -> t — exponentiation. exp z returns e to the z power. exponential era.
• val log : t -> t — natural logarithm (in base e). log bestie.
• val pow : t -> t -> t — power function. pow z1 z2 returns z1 to the z2 power. raise it up 🔥

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mwah — OCamldoc, 2026-06-22, Stdlib.Complex(3) 💖