NAME

csinh, csinhf, csinhl — complex hyperbolic sine functions

SYNOPSIS

#include <complex.h>

double complex csinh(double complex z);
float complex csinhf(float complex z);
long double complex csinhl(long double complex z);


DESCRIPTION

^[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.1-2024 defers to the ISO C standard.

These functions shall compute the complex hyperbolic sine of z.

RETURN VALUE

These functions shall return the complex hyperbolic sine value.

^[MXC] csinh(conj(z)), csinhf(conjf(z)), and csinhl(conjl(z)) shall return exactly the same value as conj(csinh(z)), conjf(csinhf(z)), and conjl(csinhl(z)), respectively, and csinh(-z), csinhf(-z), and csinhl(-z) shall return exactly the same value as -csinh(z), -csinhf(z), and -csinhl(z), respectively, including for the special values of z below.

If z is +0 + i0, +0 + i0 shall be returned.

If z is +0 + iInf, ±0 + iNaN shall be returned and the invalid floating-point exception shall be raised; the sign of the real part of the result is unspecified.

If z is +0 + iNaN, ±0 + iNaN shall be returned; the sign of the real part of the result is unspecified.

If z is x + iInf where x is positive and finite, NaN + iNaN shall be returned and the invalid floating-point exception shall be raised.

If z is x + iNaN where x is non-zero and finite, NaN + iNaN shall be returned and the invalid floating-point exception may be raised.

If z is +Inf + i0, +Inf + i0 shall be returned.

If z is +Inf + iy where y is positive and finite, +Inf (cos(y) + isin(y)) shall be returned.

If z is +Inf + iInf, ±Inf + iNaN shall be returned and the invalid floating-point exception shall be raised; the sign of the real part of the result is unspecified.

If z is +Inf + iNaN, ±Inf + iNaN shall be returned; the sign of the real part of the result is unspecified.

If z is NaN + i0, NaN + i0 shall be returned.

If z is NaN + iy where y is any non-zero number, NaN + iNaN shall be returned and the invalid floating-point exception may be raised.

If z is NaN + iNaN, NaN + iNaN shall be returned.

ERRORS

No errors are defined.

EXAMPLES

None.

APPLICATION USAGE

None.

RATIONALE

None.

FUTURE DIRECTIONS

None.

SEE ALSO

casinh

XBD <complex.h>

CHANGE HISTORY

First released in Issue 6. Derived from the ISO/IEC 9899:1999 standard.

Issue 8

Austin Group Defect 1302 is applied, aligning these functions with the ISO/IEC 9899:2018 standard.