ctanh(3)

🌸 ctanh — complex hyperbolic tangent 💅

okay bestie, welcome to the ctanh(3) page from the Library Functions Manual — yes we're in the library functions section, section 3, math girlie territory ✨

---

🎀 NAME

ctanh, ctanhf, ctanhl — complex hyperbolic tangent. that's it, that's the trio 🫶

---

📚 LIBRARY

Math library — link it with libm, a.k.a. the -lm flag. no -lm, no love. 😭

---

✨ SYNOPSIS

#include <complex.h>

double complex ctanh(double complex z);
float complex ctanhf(float complex z);
long double complex ctanhl(long double complex z);

three flavors: the regular double one, the float one (ctanhf), and the big ol' long double one (ctanhl). pick your precision, pick your destiny 💖

---

🦋 DESCRIPTION

so these functions literally calculate the complex hyperbolic tangent of z. that's the whole job. main character energy fr fr 👑

the complex hyperbolic tangent function is defined mathematically as:

ctanh(z) = csinh(z) / ccosh(z)

like, hyperbolic sine over hyperbolic cosine, but make it complex. iconic division behavior, no cap. 🍓

---

🫶 ATTRIBUTES

for the whole explanation of what these terms even mean, go peek at attributes(7) — it's giving reference material. ✨

• ctanh(), ctanhf(), ctanhl() — Thread safety: MT-Safe 💅

so yeah, they're thread-safe. go wild, bestie, spawn all the threads you want 🌈

---

🌟 STANDARDS

C11, POSIX.1-2008. certified, standardized, slay. ✅

---

💜 HISTORY

glibc 2.1. and before that? C99, POSIX.1-2001. so she's been around, she's got history, she's a legacy icon lowkey 🕰️

---

👀 SEE ALSO

• cabs(3)
• catanh(3)
• ccosh(3)
• csinh(3)
• complex(7)

go read the whole complex family, they're all doing their lil hyperbolic thing together 🧚

---

not me writing an entire essay about hyperbolic tangent bestie… but the math ate, periodt. 💀

and that's the page!! brought to you by Linux man-pages 6.20, dated 2026-02-08, filed under ctanh(3) 🌸 go forth and compute responsibly, you gorgeous nerd 🎀💖🦋