# std::sinh

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< cpp‎ | numeric‎ | math

Defined in header `<cmath>` |  |
float sinh( float arg ); | (1) |
double sinh( double arg ); | (2) |
long double sinh( long double arg ); | (3) |
double sinh( Integral arg ); | (4) | (since C++11)

Computes the hyperbolic sine of `arg`

4) A set of overloads or a function template accepting an argument of any integral type. Equivalent to 2) (the argument is cast to double).

### Parameters

arg | - | value of a floating-point or Integral type

### 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, and implementation-defined value no greater than DBL_MIN, FLT_MIN, and LDBL_MIN is returned.

### Example

Run this code

    #include <iostream>
    #include <cmath>
    #include <cerrno>
    #include <cstring>
    #include <cfenv>

    #pragma STDC FENV_ACCESS ON
    int main()
    {
        std::cout << "sinh(1) = " << std::sinh(1) << '\n'
                  << "sinh(-1) = " << std::sinh(-1) << '\n'
                  << "log(sinh(1)+cosh(1)) = "
                  << std::log(std::sinh(1)+std::cosh(1)) << '\n';
        // special values
        std::cout << "sinh(+0) = " << std::sinh(0.0) << '\n'
                  << "sinh(-0) = " << std::sinh(-0.0) << '\n';
        // error handling
        errno=0; std::feclearexcept(FE_ALL_EXCEPT);
        std::cout << "sinh(710.5) = " << std::sinh(710.5) << '\n';
        if(errno == ERANGE)
            std::cout << "    errno == ERANGE: " << std::strerror(errno) << '\n';
        if(std::fetestexcept(FE_OVERFLOW))
            std::cout << "    FE_OVERFLOW raised\n";
    }

Output:

    sinh(1) = 1.1752
    sinh(-1) = -1.1752
    log(sinh(1)+cosh(1)) = 1
    sinh(+0) = 0
    sinh(-0) = -0
    sinh(710.5) = inf
        errno == ERANGE: Numerical result out of range
        FE_OVERFLOW raised

### See also

cosh | computes hyperbolic cosine (ch(x)) (function)
tanh | hyperbolic tangent (function)
asinh (C++11) | computes the inverse hyperbolic sine (arsinh(x)) (function)
sinh(std::complex) | computes hyperbolic sine of a complex number (sh(z)) (function template)
sinh(std::valarray) | applies the function std::sinh to each element of valarray (function template)
C documentation for sinh

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