std::sinh

Defined in header <cmath>

1	`float` `sinh(` `float` `arg );`

(1)

1	`double` `sinh(` `double` `arg );`

(2)

1	`long` `double` `sinh(` `long` `double` `arg );`

(3)

1	`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

) 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

#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

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`

Links:

http://en.cppreference.com/w/cpp/numeric/math/sinh

doc_CPP

2025-01-10 15:47:30

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