NAME
sin sinf
sinl — sine
function
SYNOPSIS
#include
<math.h>
double sin(double x); float sinf(float x); long double sinl(long double x);
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 sine of their argument x, measured in radians.
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 sine of x.
[MX] If x is NaN, a NaN shall be returned.
If x is ±0, x shall be returned.
If x is ±Inf, a domain error shall occur, and a NaN shall be returned.
[MXX]
If x is subnormal, x should be returned.
[MX] If x is subnormal, a range error
may occur and, if x is not returned,
sin (), sinf (), and
sinl () shall return an implementation-defined value no
greater in magnitude than DBL_MIN, FLT_MIN, and LDBL_MIN, respectively.
ERRORS
These functions shall fail if:
- Domain Error
- [MX] The x argument 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.
These functions may fail if:
- Range Error
- [MX] The value of x is subnormal
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 underflow floating-point exception shall be raised.
EXAMPLES
Taking the Sine of a 45-Degree Angle
#include <math.h> ... double radians = 45.0 * M_PI / 180; double result; ... result = sin(radians);
APPLICATION USAGE
These functions may lose accuracy when their argument is near a multiple of ℼ or is far from 0.0.
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.
RATIONALE
None.
FUTURE DIRECTIONS
None.
SEE ALSO
asin(3), feclearexcept(3), fetestexcept(3), isnan(3)
XBD V1_chap04(7), <math.h>
CHANGE HISTORY
First released in Issue 1. Derived from Issue 1 of the SVID.
Issue 5
The last two paragraphs of the DESCRIPTION were included as APPLICATION USAGE notes in previous issues.
Issue 6
The sinf () and sinl () functions are added for alignment with the ISO/IEC 9899:1999 (“ISO C99”) standard.
The DESCRIPTION, RETURN VALUE, ERRORS, and APPLICATION USAGE sections are revised to align with the ISO/IEC 9899:1999 (“ISO C99”) standard.
IEC 60559:1989 standard floating-point extensions over the ISO/IEC 9899:1999 (“ISO C99”) standard are marked.
Issue 7
POSIX.1-2008, Technical Corrigendum 1, XSH/TC1-2008/0585 [68] and XSH/TC1-2008/0586 [320] are applied.
Issue 8
Austin Group Defect 1382 is applied, rearranging the text describing the behavior when x is subnormal to avoid the need for two shading changes.