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

 

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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

Run this code

#include <iostream>
#include <cmath>
 
int main()
{
    std::cout << "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
    std::cout << "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

See also

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