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