sinh, sinhf, sinhl

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< c ‎ | numeric ‎ | math
Common mathematical functions
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Arguments and return values
Error handling
Defined in header <math.h>
float sinhf ( float arg ) ;
(1) (since C99)
double sinh ( double arg ) ;
(2)
long double sinhl ( long double arg ) ;
(3) (since C99)
Defined in header <tgmath.h>
#define sinh( arg )
(4) (since C99)
1-3) Computes hyperbolic sine of arg .
4) Type-generic macro: If the argument has type long double , sinhl is called. Otherwise, if the argument has integer type or the type double , sinh is called. Otherwise, sinhf is called. If the argument is complex, then the macro invokes the corresponding complex function ( csinhf , csinh , csinhl ).

Parameters

arg - floating-point value representing a hyperbolic angle

Return value

If no errors occur, the hyperbolic sine of arg ( sinh(arg) , or
e arg -e -arg
2
) is returned.

If a range error due to overflow occurs, ±HUGE_VAL , ±HUGE_VALF , or ±HUGE_VALL is returned.

If a range error occurs due to underflow, the correct result (after rounding) is returned.

Error handling

Errors are reported as specified in math_errhandling .

If the implementation supports IEEE floating-point arithmetic (IEC 60559),

  • if the argument is ±0 or ±∞, it is returned unmodified,
  • if the argument is NaN, NaN is returned.

Notes

POSIX specifies that in case of underflow, arg is returned unmodified, and if that is not supported, an implementation-defined value no greater than DBL_MIN , FLT_MIN , and LDBL_MIN is returned.

Example

#include <errno.h>
#include <fenv.h>
#include <math.h>
#include <stdio.h>
// #pragma STDC FENV_ACCESS ON
 
int main(void)
{
    printf("sinh(1) = %f\nsinh(-1)=%f\n", sinh(1), sinh(-1));
    printf("log(sinh(1) + cosh(1))=%f\n", log(sinh(1) + cosh(1)));
 
    // special values
    printf("sinh(+0) = %f\nsinh(-0)=%f\n", sinh(0.0), sinh(-0.0));
 
    // error handling
    errno = 0; feclearexcept(FE_ALL_EXCEPT);
    printf("sinh(710.5) = %f\n", sinh(710.5));
    if (errno == ERANGE)
        perror("    errno == ERANGE");
    if (fetestexcept(FE_OVERFLOW))
        puts("    FE_OVERFLOW raised");
}

Possible output:

sinh(1) = 1.175201
sinh(-1)=-1.175201
log(sinh(1) + cosh(1))=1.000000
sinh(+0) = 0.000000
sinh(-0)=-0.000000
sinh(710.5) = inf
    errno == ERANGE: Numerical result out of range
    FE_OVERFLOW raised

References

  • C23 standard (ISO/IEC 9899:2024):
  • 7.12.5.5 The sinh functions (p: TBD)
  • 7.25 Type-generic math <tgmath.h> (p: TBD)
  • F.10.2.5 The sinh functions (p: TBD)
  • C17 standard (ISO/IEC 9899:2018):
  • 7.12.5.5 The sinh functions (p: 176)
  • 7.25 Type-generic math <tgmath.h> (p: 272-273)
  • F.10.2.5 The sinh functions (p: 379)
  • C11 standard (ISO/IEC 9899:2011):
  • 7.12.5.5 The sinh functions (p: 241-242)
  • 7.25 Type-generic math <tgmath.h> (p: 373-375)
  • F.10.2.5 The sinh functions (p: 520)
  • C99 standard (ISO/IEC 9899:1999):
  • 7.12.5.5 The sinh functions (p: 222)
  • 7.22 Type-generic math <tgmath.h> (p: 335-337)
  • F.9.2.5 The sinh functions (p: 457)
  • C89/C90 standard (ISO/IEC 9899:1990):
  • 4.5.3.2 The sinh function

See also

(C99) (C99)
computes hyperbolic cosine ( cosh(x) )
(function)
(C99) (C99)
computes hyperbolic tangent ( tanh(x) )
(function)
(C99) (C99) (C99)
computes inverse hyperbolic sine ( arsinh(x) )
(function)
(C99) (C99) (C99)
computes the complex hyperbolic sine
(function)