home::buildo...n::voigt_hwhm(3)

📦
version 3.3 · 11 versions
, in alpine 3.24

💜 voigt_hwhm — like, the libcerf manual, but make it make sense 💜

okay bestie, welcome to the libcerf manual, and today's main character is home::buildo...n::voigt_hwhm(3). yes the title is a whole mouthful, no we are not changing it, it's iconic in a chaotic way. 🎀

✨ NAME ✨

voigt_hwhm — literally the half width at half maximum of Voigt's function. that's it. that's the whole vibe. 💅

🦋 SYNOPSIS 🦋

okay so you pull this in:

#include <cerf.h>

and then you call it like this, bestie:

double voigt_hwhm ( double sigma, double gamma );

two doubles in, one double out. slay. ✨

🌸 DESCRIPTION 🌸

so voigt_hwhm returns the half width at half maximum of the function voigt. (yes. the name is the function. it's giving efficiency. 👑)

and voigt itself returns Voigt's convolution, and the way that works is:

voigt(x,sigma,gamma) = integral G(t,sigma) L(x-t,gamma) dt

which is lowkey a mashup of two iconic functions — a Gaussian:

G(x,sigma) = 1/sqrt(2*pi)/|sigma| * exp(-x^2/2/sigma^2)

and a Lorentzian:

L(x,gamma) = |gamma| / pi / ( x^2 + gamma^2 ),

and important detail bestie: that integral extends from -infinity to +infinity. fr fr. don't forget the bounds, they're doing a lot of work. 😭

🌈 SEE ALSO 🌈

⭐ REFERENCE ⭐

Joachim Wuttke, Power series for the half width of the Voigt function — and the status is: in preparation; manuscript available upon request. so like, it exists, it's just not out yet. main character energy of a paper tbh. 💀

🎀 AUTHOR 🎀

Joachim Wuttke <j.wuttke@fz-juelich.de>, Forschungszentrum Juelich.

and this is the part where they say: Please report bugs to the author. so if something's cursed, that's the person to tell. be nice about it. 🙈

💖 COPYING 💖

  • Copyright (c) 2018-25 Forschungszentrum Juelich GmbH
  • Software: MIT License.
  • This documentation: Creative Commons Attribution Share Alike.

that's your legal tea, bestie. respect it. 🍓

okay real talk: this page is the width-of-the-Voigt-function page. use it when you need that half width at half maximum and you don't wanna do the math yourself. go off. 🔥

and that's a wrap!! 🌈 sign-off time: this gorgeous mess is from perl v5.42.2, dated 2026-02-15, and it lives at home::buildo...n::voigt_hwhm(3). mwah. 💜✨

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