NAME
csin csinf
csinl — complex sine
functions
SYNOPSIS
#include
<complex.h>
double complex csin(double complex z); float complex csinf(float complex z); long double complex csinl(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 sine of z.
RETURN VALUE
These functions shall return the complex sine value.
[MXC]
csin ( conj (
iz)), csinf ( conjf (
iz)), and csinl (
conjl ( iz)) shall return exactly the
same value as conj ( csin (
iz)), conjf ( csinf (
iz)), and conjl (
csinl ( iz)), respectively, and
csin ( -iz),
csinf ( -iz), and
csinl ( -iz) shall return exactly the
same value as
-csin (
iz), -csinf ( iz), and
-csinl ( iz), respectively, including
for the special values of iz below.
If iz is +0 + i 0, -i (+0 + i 0) shall be returned.
If iz is +0 + i Inf, -i (±0 + i NaN) shall be returned and the invalid floating-point exception shall be raised; the sign of the imaginary part of the result is unspecified.
If iz is +0 + i NaN, -i (±0 + i NaN) shall be returned; the sign of the imaginary part of the result is unspecified.
If iz is x + i Inf where x is positive and finite, -i (NaN + i NaN) shall be returned and the invalid floating-point exception shall be raised.
If iz is x + i NaN where x is non-zero and finite, -i (NaN + i NaN) shall be returned and the invalid floating-point exception may be raised.
If iz is +Inf + i 0, -i (+Inf + i 0) shall be returned.
If iz is +Inf + iy where y is positive and finite, -i Inf ( cos ( y) + isin ( y)) shall be returned.
If iz is +Inf + i Inf, -i (±Inf + i NaN) shall be returned and the invalid floating-point exception shall be raised; the sign of the imaginary part of the result is unspecified.
If iz is +Inf + i NaN, -i (±Inf + i NaN) shall be returned; the sign of the imaginary part of the result is unspecified.
If iz is NaN + i 0, -i (NaN + i 0) shall be returned.
If iz is NaN + iy where y is any non-zero number, -i (NaN + i NaN) shall be returned and the invalid floating-point exception may be raised.
If iz is NaN + i NaN, -i (NaN + i NaN) shall be returned.
ERRORS
No errors are defined.
EXAMPLES
None.
APPLICATION USAGE
None.
RATIONALE
The MXC special cases for csin () are
derived from those for csinh(3) by applying the formula
csin ( z) =
-icsinh
( iz).
FUTURE DIRECTIONS
None.
SEE ALSO
XBD <complex.h>
CHANGE HISTORY
First released in Issue 6. Derived from the ISO/IEC 9899:1999 (“ISO C99”) standard.
Issue 8
Austin Group Defect 1302 is applied, aligning these functions with the ISO/IEC 9899:2018 standard.