casinhl3
Complex inverse trigonometric and hyperbolic functions
Part of cacos(3).
Usage
double complex
float complex
long double
complex
double complex
float complex
long double
complex
double complex
float complex
long double
complex
double complex
float complex
long double
complex
double complex
float complex
long double
complex
double complex
float complex
long double
complex
Library
Math Library (libm, -lm)
Overview
The cacos(), casin(), and catan() functions compute the principal value of the inverse cosine, sine, and tangent of the complex number z, respectively. The cacosh(), casinh(), and catanh() functions compute the principal value of the inverse hyperbolic cosine, sine, and tangent. The cacosf(), casinf(), catanf() cacoshf(), casinhf(), and catanhf() functions perform the same operations in float precision. The cacosl(), casinl(), catanl() cacoshl(), casinhl(), and catanhl() functions perform the same operations in long, double precision.
There is no universal convention for defining the principal values of these functions. The following table gives the branch cuts, and the corresponding ranges for the return values, adopted by the C language.
| Function | Branch Cut(s) | Range |
| cacos | (-, -1) ∪ (1,) | [0,] |
| casin | (-, -1) ∪ (1,) | [-/2, /2] |
| catan | (-*I, -I) ∪ (I, *I) | [-/2, /2] |
| cacosh | (-, 1) | [-*I, *I] |
| casinh | (-*I, -I) ∪ (I, *I) | [-/2*I, /2*I] |
| catanh | (-, -1) ∪ (1,) | [-/2*I, /2*I] |
History
- FreeBSD 16.0-CURRENT (2026-10-27) to FreeBSD 13.3-RELEASE: the text shown here
- FreeBSD 13.2-RELEASE to FreeBSD 13.0-RELEASE
- FreeBSD 12.4-RELEASE
- FreeBSD 12.3-RELEASE
- FreeBSD 12.2-RELEASE
- FreeBSD 12.1-RELEASE
- FreeBSD 12.0-RELEASE
- FreeBSD 11.4-RELEASE
- FreeBSD 11.3-RELEASE
- FreeBSD 11.2-RELEASE