atanh, atanhf, atanhl
Calculates the inverse hyperbolic tangent.
Syntax
double atanh( double x );
float atanhf( float x );
long double atanhl( long double x );
#define atanh(X) // Requires C11 or higher
float atanh( float x ); // C++ only
long double atanh( long double x ); // C++ only
Parameters
x
Floating-point value.
Return Value
The atanh functions return the inverse hyberbolic tangent (arc hyperbolic tangent) of x. If x is greater than 1, or less than -1, errno is set to EDOM and the result is a quiet NaN. If x is equal to 1 or -1, a positive or negative infinity is returned, respectively, and errno is set to ERANGE.
| Input | SEH Exception | Matherr Exception |
|---|---|---|
| ± QNAN,IND | none | none |
| X ≥ 1; x ≤ -1 | none | none |
Remarks
Because C++ allows overloading, you can call overloads of atanh that take and return float or long double values. In a C program, unless you're using the <tgmath.h> macro to call this function, atanh always takes and returns double.
If you use the <tgmath.h> atanh() macro, the type of the argument determines which version of the function is selected. See Type-generic math for details.
By default, this function's global state is scoped to the application. To change this, see Global state in the CRT.
Requirements
| Function | C header | C++ header |
|---|---|---|
| atanh, atanhf, atanhl | <math.h> | <cmath> or <math.h> |
| atanh() macro | <tgmath.h> |
For additional compatibility information, see Compatibility.
Example
// crt_atanh.c
// This program displays the hyperbolic tangent of pi / 4
// and the arc hyperbolic tangent of the result.
//
#include <math.h>
#include <stdio.h>
int main( void )
{
double pi = 3.1415926535;
double x, y;
x = tanh( pi / 4 );
y = atanh( x );
printf( "tanh( %f ) = %f\n", pi/4, x );
printf( "atanh( %f ) = %f\n", x, y );
}
tanh( 0.785398 ) = 0.655794
atanh( 0.655794 ) = 0.785398
See also
Floating-Point Support
acosh, acoshf, acoshl
asinh, asinhf, asinhl
cosh, coshf, coshl
sinh, sinhf, sinhl
tanh, tanhf, tanhl
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