asinh, asinhf, asinhl - cppreference.com (original) (raw)

Defined in header <math.h>
float asinhf( float arg ); (1) (since C99)
double asinh( double arg ); (2) (since C99)
long double asinhl( long double arg ); (3) (since C99)
Defined in header <tgmath.h>
#define asinh( arg ) (4) (since C99)

1-3) Computes the inverse hyperbolic sine of arg.

  1. Type-generic macro: If the argument has type long double, asinhl is called. Otherwise, if the argument has integer type or the type double, asinh is called. Otherwise, asinhf is called. If the argument is complex, then the macro invokes the corresponding complex function (casinhf, casinh, casinhl).

Contents

[edit] Parameters

arg - floating-point value representing the area of a hyperbolic sector

[edit] Return value

If no errors occur, the inverse hyperbolic sine of arg (sinh-1
(arg), or arsinh(arg)), is returned.

If a range error occurs due to underflow, the correct result (after rounding) is returned.

[edit] Error handling

Errors are reported as specified in math_errhandling.

If the implementation supports IEEE floating-point arithmetic (IEC 60559),

[edit] Notes

Although the C standard names this function "arc hyperbolic sine", the inverse functions of the hyperbolic functions are the area functions. Their argument is the area of a hyperbolic sector, not an arc. The correct name is "inverse hyperbolic sine" (used by POSIX) or "area hyperbolic sine".

[edit] Example

#include <math.h> #include <stdio.h>   int main(void) { printf("asinh(1) = %f\nasinh(-1) = %f\n", asinh(1), asinh(-1)); // special values printf("asinh(+0) = %f\nasinh(-0) = %f\n", asinh(0.0), asinh(-0.0)); }

Output:

asinh(1) = 0.881374 asinh(-1) = -0.881374 asinh(+0) = 0.000000 asinh(-0) = -0.000000

[edit] References

[edit] See also