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NAME

sinh, sinhf, sinhl - hyperbolic sine functions

SYNOPSIS

#include <math.h>

double sinh(double
x);
float sinhf(float
x);
long double sinhl(long double
x);

DESCRIPTION

[CX][Option Start] The functionality described on this reference page is aligned with the ISO C standard. Any conflict between therequirements described here and the ISO C standard is unintentional. This volume of POSIX.1-2017 defers to the ISO Cstandard.[Option End]

These functions shall compute the hyperbolic sine of their argumentx.

An application wishing to check for error situations should seterrno to zero and callfeclearexcept(FE_ALL_EXCEPT) before calling these functions. On return, iferrno is non-zero orfetestexcept(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 sine ofx.

If the result would cause an overflow, a range error shall occur and ±HUGE_VAL, ±HUGE_VALF, and ±HUGE_VALL(with the same sign asx) shall be returned as appropriate for the type of the function.

[MX][Option Start] Ifx is NaN, a NaN shall be returned.

Ifx is ±0 or ±Inf,x shall be returned.

Ifx is subnormal, a range error may occur
[Option End][MXX][Option Start] andx should be returned.[Option End]

[MX][Option Start] Ifx is not returned,sinh(),sinhf(), andsinhl() shall return an implementation-defined value no greaterin magnitude than DBL_MIN, FLT_MIN, and LDBL_MIN, respectively.[Option End]

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, thenerrno shall be set to [ERANGE]. Ifthe integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero, then the overflow floating-point exception shallbe raised.

These functions may fail if:

Range Error
[MX][Option Start]The valuex is subnormal.

If the integer expression (math_errhandling & MATH_ERRNO) is non-zero, thenerrno shall be set to [ERANGE]. Ifthe integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero, then the underflow floating-point exceptionshall be raised.[Option End]


The following sections are informative.

EXAMPLES

None.

APPLICATION USAGE

On error, the expressions (math_errhandling & MATH_ERRNO) and (math_errhandling & MATH_ERREXCEPT) areindependent of each other, but at least one of them must be non-zero.

RATIONALE

None.

FUTURE DIRECTIONS

None.

SEE ALSO

asinh,cosh,feclearexcept,fetestexcept,isnan,tanh

XBDTreatment of Error Conditions for Mathematical Functions,<math.h>

CHANGE HISTORY

First released in Issue 1. Derived from Issue 1 of the SVID.

Issue 5

The DESCRIPTION is updated to indicate how an application should check for an error. This text was previously published in theAPPLICATION USAGE section.

Issue 6

Thesinhf() andsinhl() 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 9899:1999standard.

IEC 60559:1989 standard floating-point extensions over the ISO/IEC 9899:1999 standard are marked.

Issue 7

POSIX.1-2008, Technical Corrigendum 1, XSH/TC1-2008/0587 [68] is applied.

End of informative text.

 

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