atanh - Online Linux Manual PageSection : 3
Updated : 2023-02-05
Source : Linux man-pages 6.03

NAMEatanh, atanhf, atanhl − inverse hyperbolic tangent function

LIBRARYMath library (libm, −lm)

SYNOPSIS#include <math.h>double atanh(double x); float atanhf(float x); long double atanhl(long double x);Feature Test Macro Requirements for glibc (see feature_test_macros(7)): atanh(): _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L || _XOPEN_SOURCE >= 500 || /* Since glibc 2.19: */ _DEFAULT_SOURCE || /* glibc <= 2.19: */ _BSD_SOURCE || _SVID_SOURCEatanhf(), atanhl(): _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L || /* Since glibc 2.19: */ _DEFAULT_SOURCE || /* glibc <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE

DESCRIPTIONThese functions calculate the inverse hyperbolic tangent of x; that is the value whose hyperbolic tangent is x.

RETURN VALUEOn success, these functions return the inverse hyperbolic tangent of x. If x is a NaN, a NaN is returned. If x is +0 (−0), +0 (−0) is returned. If x is +1 or −1, a pole error occurs, and the functions return HUGE_VAL, HUGE_VALF, or HUGE_VALL, respectively, with the mathematically correct sign. If the absolute value of x is greater than 1, a domain error occurs, and a NaN is returned.

ERRORSSee math_error(7) for information on how to determine whether an error has occurred when calling these functions. The following errors can occur: Domain error: x less than −1 or greater than +1  errno is set to EDOM. An invalid floating-point exception (FE_INVALID) is raised. Pole error: x is +1 or −1  errno is set to ERANGE (but see BUGS). A divide-by-zero floating-point exception (FE_DIVBYZERO) is raised.

ATTRIBUTESFor an explanation of the terms used in this section, see attributes(7). InterfaceAttributeValue atanh(), atanhf(), atanhl() Thread safetyMT-Safe

STANDARDSC99, POSIX.1-2001, POSIX.1-2008. The variant returning double also conforms to SVr4, 4.3BSD.

BUGSIn glibc 2.9 and earlier, when a pole error occurs, errno is set to EDOM instead of the POSIX-mandated ERANGE. Since glibc 2.10, glibc does the right thing.

SEE ALSOacosh(3), asinh(3), catanh(3), cosh(3), sinh(3), tanh(3)
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