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sinh, sinhf, sinhl

From cppreference.com
< c‎ | numeric‎ | math
 
 
 
Common mathematical functions
Functions
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Power functions
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Trigonometric and hyperbolic functions
sinh
(C99)
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Error and gamma functions
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Floating point manipulation functions
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Macro constants
 
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)

Contents

[edit] Parameters

arg - floating point value representing a hyperbolic angle

[edit] 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.

[edit] 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

[edit] Notes

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

[edit] Example

#include <stdio.h>
#include <math.h>
#include <errno.h>
#include <fenv.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

[edit] See also

(C99)(C99)
computes hyperbolic cosine (ch(x))
(function) [edit]
(C99)(C99)
computes hyperbolic tangent
(function) [edit]
(C99)(C99)(C99)
computes inverse hyperbolic sine (arsinh(x))
(function) [edit]
(C99)(C99)(C99)
computes the complex hyperbolic sine
(function) [edit]