# cosh (3p) - Linux Manuals

## cosh: hyperbolic cosine functions

## PROLOG

This manual page is part of the POSIX Programmer's Manual. The Linux implementation of this interface may differ (consult the corresponding Linux manual page for details of Linux behavior), or the interface may not be implemented on Linux.## NAME

cosh, coshf, coshl - hyperbolic cosine functions

## SYNOPSIS

**#include <math.h>
**

**
double cosh(double** *x***);
float coshf(float**

*x*

**);**

long double coshl(long double

long double coshl(long double

*x*

**);**

## DESCRIPTION

These functions shall compute the 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.

## RETURN VALUE

Upon successful completion, these functions shall return the hyperbolic
cosine of *x*.

If the correct value would cause overflow, a range error shall occur
and *cosh*(), *coshf*(), and *coshl*() shall
return the value of the macro HUGE_VAL, HUGE_VALF, and HUGE_VALL,
respectively.

If
*x* is NaN, a NaN shall be returned.

If *x* is ±0, the value 1.0 shall be returned.

If *x* is ±Inf, +Inf shall be returned.

## ERRORS

These functions shall fail if:

- Range Error
- The result would cause an overflow.

If the integer expression (math_errhandling & MATH_ERRNO) is non-zero,
then *errno* shall be set to [ERANGE]. If the
integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero,
then the overflow floating-point exception shall be
raised.

*The following sections are informative.*

## EXAMPLES

## APPLICATION USAGE

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.

For IEEE Std 754-1985 **double**, 710.5 < |*x*| implies that
*cosh*( *x*) has overflowed.

## RATIONALE

## FUTURE DIRECTIONS

## COPYRIGHT

Portions of this text are reprinted and reproduced in electronic form from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology -- Portable Operating System Interface (POSIX), The Open Group Base Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of Electrical and Electronics Engineers, Inc and The Open Group. In the event of any discrepancy between this version and the original IEEE and The Open Group Standard, the original IEEE and The Open Group Standard is the referee document. The original Standard can be obtained online at http://www.opengroup.org/unix/online.html .

## SEE ALSO

*acosh*(), *feclearexcept*(), *fetestexcept*(), *isnan*(),
*sinh*(),
*tanh*(), the Base Definitions volume of IEEE Std 1003.1-2001,
Section 4.18, Treatment of Error Conditions for Mathematical Functions,
*<math.h>*