sinh, sinhf, sinhl

From cppreference.com
< c‎ | numeric‎ | math
 
 
 
Common mathematical functions
Types
(C99)(C99)    

(C99)(C99)    

Functions
Basic operations
(C99)
(C99)
(C99)
(C99)(C99)(C99)(C23)
Maximum/minimum operations
(C99)
(C23)    
Exponential functions
(C23)
(C99)
(C99)
(C23)
(C23)
(C99)
(C99)(C23)
(C23)
(C23)
Power functions
(C99)
(C23)
(C23)
(C99)
(C23)
(C23)
Trigonometric and hyperbolic functions
(C23)
(C23)
(C23)
(C23)
sinh
(C99)
(C99)
(C99)
Error and gamma functions
(C99)
(C99)
(C99)
(C99)
Nearest integer floating-point operations
(C99)(C99)(C99)
(C99)
(C99)(C99)(C99)
(C23)(C23)(C23)(C23)
Floating-point manipulation functions
(C99)(C99)
(C99)(C23)
(C99)
Narrowing operations
(C23)
(C23)
(C23)
(C23)
(C23)
(C23)
Quantum and quantum exponent functions
Decimal re-encoding functions
Total order and payload functions
Classification
(C99)
(C99)
(C99)
(C23)
Macro constants
Special floating-point values
(C99)(C23)
Arguments and return values
(C99)(C99)(C99)(C99)(C99)    
Error handling
(C99)    

 
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
earg
-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)