acosh, acoshf, acoshl - inverse hyperbolic cosine functions
double acosh(double x);
float acoshf(float x);
long double acoshl(long double x);
[CX] The functionality described on this reference page is aligned with the ISO C standard. Any conflict between the requirements described here and the ISO C standard is unintentional. This volume of POSIX.1-2008 defers to the ISO C standard.
These functions shall compute the inverse hyperbolic cosine of their argument x.
An application wishing to check for error situations should set errno to zero and call feclearexcept(FE_ALL_EXCEPT) before calling these functions. On return, if errno is non-zero or fetestexcept(FE_INVALID | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW) is non-zero, an error has occurred.
Upon successful completion, these functions shall return the inverse hyperbolic cosine of their argument.
For finite values of x < 1, a domain error shall occur, and [MX] either a NaN (if supported), or an implementation-defined value shall be returned.
[MX] If x is NaN, a NaN shall be returned.
If x is +1, +0 shall be returned.
If x is +Inf, +Inf shall be returned.
If x is -Inf, a domain error shall occur, and a NaN shall be returned.
These functions shall fail if:
- Domain Error
- The x argument is finite and less than +1.0, [MX] or is -Inf.
If the integer expression (math_errhandling & MATH_ERRNO) is non-zero, then errno shall be set to [EDOM]. If the integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero, then the invalid floating-point exception shall be raised.
On error, the expressions (math_errhandling & MATH_ERRNO) and (math_errhandling & MATH_ERREXCEPT) are independent of each other, but at least one of them must be non-zero.
cosh, feclearexcept, fetestexcept
XBD Treatment of Error Conditions for Mathematical Functions, <math.h>
First released in Issue 4, Version 2.
Moved from X/OPEN UNIX extension to BASE.
The acosh() function is no longer marked as an extension.
The acoshf() and acoshl() functions are added for alignment with the ISO/IEC 9899:1999 standard.
The DESCRIPTION, RETURN VALUE, ERRORS, and APPLICATION USAGE sections are revised to align with the ISO/IEC 9899:1999 standard.
IEC 60559:1989 standard floating-point extensions over the ISO/IEC 9899:1999 standard are marked.
POSIX.1-2008, Technical Corrigendum 1, XSH/TC1-2008/0025  is applied.
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