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std::tanh, std::tanhf, std::tanhl

Defined in header `<cmath>`
	(1)
float tanh ( float arg );
float tanhf( float arg );		(since C++11)
double tanh ( double arg );	(2)
	(3)
long double tanh ( long double arg );
long double tanhl( long double arg );		(since C++11)
double tanh ( IntegralType arg );	(4)	(since C++11)

1-3) Computes the hyperbolic tangent 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 tangent of arg (tanh(arg), or earg-e-arg/earg+e-arg) 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, ±0 is returned
If the argument is ±∞, ±1 is returned
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.

Examples

#include <iostream>
#include <cmath>
 
int main()
{
    std::cout << std::showpos
              << "tanh(+1) = " << std::tanh(+1) << '\n'
              << "tanh(-1) = " << std::tanh(-1) << '\n'
              << "tanh(0.1)*sinh(0.2)-cosh(0.2) = "
              << std::tanh(0.1) * std::sinh(0.2) - std::cosh(0.2) << '\n'
              // special values:
              << "tanh(+0) = " << std::tanh(+0.0) << '\n'
              << "tanh(-0) = " << std::tanh(-0.0) << '\n';
}

Output:

tanh(+1) = +0.761594
tanh(-1) = -0.761594
tanh(0.1)*sinh(0.2)-cosh(0.2) = -1
tanh(+0) = +0
tanh(-0) = -0

sinhsinhfsinhl (C++11)(C++11)	computes hyperbolic sine (\({\small\sinh{x} }\)sinh(x)) (function)
coshcoshfcoshl (C++11)(C++11)	computes hyperbolic cosine (\({\small\cosh{x} }\)cosh(x)) (function)
atanhatanhfatanhl (C++11)(C++11)(C++11)	computes the inverse hyperbolic tangent (\({\small\operatorname{artanh}{x} }\)artanh(x)) (function)
tanh(std::complex)	computes hyperbolic tangent of a complex number (\({\small\tanh{z} }\)tanh(z)) (function template)
tanh(std::valarray)	applies the function `std::tanh` to each element of valarray (function template)
C documentation for `tanh`