asinh, asinhf, asinhl

Calculates the inverse hyperbolic sine.

Syntax

double asinh( double x );
float asinhf( float x );
long double asinhl( long double x );
#define asinh(X) // Requires C11 or higher

float asinh( float x );  // C++ only
long double asinh( long double x );  // C++ only

Parameters

x
Floating-point value.

Return value

The asinh functions return the inverse hyperbolic sine (arc hyperbolic sine) of x. This function is valid over the floating-point domain. If x is a quiet NaN, indefinite, or infinity, the same value is returned.

Remarks

When you use C++, you can call overloads of asinh 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, asinh always takes and returns double.

If you use the <tgmath.h> asinh() 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

For additional compatibility information, see Compatibility.

Example

// crt_asinh.c
// Compile by using: cl /W4 crt_asinh.c
// This program displays the hyperbolic sine of pi / 4
// and the arc hyperbolic sine of the result.

#include <math.h>
#include <stdio.h>

int main( void )
{
   double pi = 3.1415926535;
   double x, y;

   x = sinh( pi / 4 );
   y = asinh( x );
   printf( "sinh( %f ) = %f\n", pi/4, x );
   printf( "asinh( %f ) = %f\n", x, y );
}

sinh( 0.785398 ) = 0.868671
asinh( 0.868671 ) = 0.785398

See also

Math and floating-point support
acosh, acoshf, acoshl
atanh, atanhf, atanhl
cosh, coshf, coshl
sinh, sinhf, sinhl
tanh, tanhf, tanhl