Menu
Search

API Documentation

API Documentation

version 2.111.0

overview

View source code
Display the source code in std/math/trigonometry.d from which thispage was generated on github.
Report a bug
If you spot a problem with this page, click here to create aBugzilla issue.
Improve this page
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 usinglocal 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)));
Edit
Run
Open in IDE
Application output
Running...

Authors

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

License

Boost License 1.0.