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) |
arg.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).| arg | - | floating point value representing the area of a hyperbolic sector |
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.
Errors are reported as specified in math_errhandling.
If the implementation supports IEEE floating-point arithmetic (IEC 60559),
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".
#include <stdio.h>
#include <math.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
|
(C99)(C99)(C99) | computes inverse hyperbolic cosine (\({\small\operatorname{arcosh}{x} }\)arcosh(x)) (function) |
|
(C99)(C99)(C99) | computes inverse hyperbolic tangent (\({\small\operatorname{artanh}{x} }\)artanh(x)) (function) |
|
(C99)(C99) | computes hyperbolic sine (\({\small\sinh{x} }\)sinh(x)) (function) |
|
(C99)(C99)(C99) | computes the complex arc hyperbolic sine (function) |
C++ documentation for asinh |
|
| Weisstein, Eric W. "Inverse Hyperbolic Sine." From MathWorld — A Wolfram Web Resource. |
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