atanh(3) [osf1 man page]
asinh(3) Library Functions Manual asinh(3) NAME
asinh, acosh, atanh - Compute inverse hyperbolic functions LIBRARY
Math Library (libm.a) SYNOPSIS
#include <math.h> double asinh (double x); float asinhf (float x); long double asinhl (long double x); double acosh (double x); float acoshf (float x); long double acoshl (long double x); double atanh (double x); float atanhf (float x); long double atanhl (long double x); STANDARDS
Interfaces documented on this reference page conform to industry standards as follows: asinh(): XPG4-UNIX acosh(): XPG4-UNIX atanh(): XPG4-UNIX Refer to the standards(5) reference page for more information about industry standards and associated tags. DESCRIPTION
The asinh(), asinhf(), and asinhl() functions return the hyperbolic arc sine of x, in the range [-infinity, +infinity] where asinh(x) = ln(x + sqrt(x**2 + 1)). The asinh() function is the inverse function of sinh() where asinh(sinh(x)) = x. The acosh(), acoshf(), and acoshl() functions return the hyperbolic arc cosine of x, in the range [1, +infinity] where acosh(x) = ln(x + sqrt(x**2 - 1)). The acosh() function is the inverse function of cosh() where acosh(cosh(x)) = |x|. The atanh(), atanhf() and atanhl() functions return the hyperbolic arc tangent of x, in the range (-1, 1). The atanh() function is the inverse function of tanh() where atanh(tanh(x)) = x. The following table describes function behavior in response to exceptional arguments: --------------------------------------------------- Function Exceptional Argument Routine Behavior --------------------------------------------------- asinh() None N/A asinhf() None N/A asinhl() None N/A acosh() x<1 Invalid argument acoshf() x<1 Invalid argument acoshl() x<1 Invalid argument atanh() x>1 or x=1 Invalid argument atanhf() x>1 or x=1 Invalid argument atanhl() x>1 or x=1 Invalid argument --------------------------------------------------- delim off asinh(3)
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ACOSH(3) Linux Programmer's Manual ACOSH(3) NAME
acosh, acoshf, acoshl - inverse hyperbolic cosine function SYNOPSIS
#include <math.h> double acosh(double x); float acoshf(float x); long double acoshl(long double x); Link with -lm. Feature Test Macro Requirements for glibc (see feature_test_macros(7)): acosh(): _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L || _XOPEN_SOURCE >= 500 || /* Since glibc 2.19: */ _DEFAULT_SOURCE || /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE acoshf(), acoshl(): _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L || /* Since glibc 2.19: */ _DEFAULT_SOURCE || /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE DESCRIPTION
These functions calculate the inverse hyperbolic cosine of x; that is the value whose hyperbolic cosine is x. RETURN VALUE
On success, these functions return the inverse hyperbolic cosine of x. If x is a NaN, a NaN is returned. If x is +1, +0 is returned. If x is positive infinity, positive infinity is returned. If x is less than 1, a domain error occurs, and the functions return a NaN. ERRORS
See 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 is less than 1 errno is set to EDOM. An invalid floating-point exception (FE_INVALID) is raised. ATTRIBUTES
For an explanation of the terms used in this section, see attributes(7). +-----------------------------+---------------+---------+ |Interface | Attribute | Value | +-----------------------------+---------------+---------+ |acosh(), acoshf(), acoshl() | Thread safety | MT-Safe | +-----------------------------+---------------+---------+ CONFORMING TO
C99, POSIX.1-2001, POSIX.1-2008. The variant returning double also conforms to SVr4, 4.3BSD. SEE ALSO
asinh(3), atanh(3), cacosh(3), cosh(3), sinh(3), tanh(3) COLOPHON
This page is part of release 4.15 of the Linux man-pages project. A description of the project, information about reporting bugs, and the latest version of this page, can be found at https://www.kernel.org/doc/man-pages/. 2017-09-15 ACOSH(3)