Display the source code in std/math/trigonometry.d from which this page was generated on github.

If you spot a problem with this page, click here to create a Bugzilla issue.

Quickly fork, edit online, and submit a pull request for this page. Requires a signed-in GitHub account. This works well for small changes. If you'd like to make larger changes you may want to consider using local clone.

Function `std.math.trigonometry.asinh`

Calculates the inverse hyperbolic sine of x.


						
				real asinh
				(
				

				  real x
				

				) pure nothrow @nogc @safe;
				

				

				double asinh
				(
				

				  double x
				

				) pure nothrow @nogc @safe;
				

				

				float asinh
				(
				

				  float x
				

				) pure nothrow @nogc @safe;

Mathematically,

asinh(x) =  log( x + sqrt( x*x + 1 )) // if x >= +0
asinh(x) = -log(-x + sqrt( x*x + 1 )) // if x <= -0

Special Values
x	asinh(x)
NAN	NAN
±0	±0
±∞	±∞

Example

import std.math.traits : isIdentical, isNaN;

assert(isIdentical(asinh(0.0), 0.0));
assert(isIdentical(asinh(-0.0), -0.0));
writeln(asinh(real.infinity)); // real.infinity
writeln(asinh(-real.infinity)); // -real.infinity
assert(isNaN(asinh(real.nan)));

Authors

Walter Bright, Don Clugston, Conversion of CEPHES math library to D by Iain Buclaw and David Nadlinger

License

Boost License 1.0.