View source code
Display the source code in std/math.d from which this page was generated on github.
Report a bug
If you spot a problem with this page, click here to create a Bugzilla 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 using local clone.

Function std.math.acosh

Calculates the inverse hyperbolic cosine of x.

real acosh (
  real x
) pure nothrow @nogc @safe;

double acosh (
  double x
) pure nothrow @nogc @safe;

float acosh (
  float x
) pure nothrow @nogc @safe;

Mathematically, acosh(x) = log(x + sqrt( x*x - 1))

Domain X Range Y
1..∞ 0..∞

Special Values
x acosh(x)
NAN NAN
<1 NAN
1 0
+∞ +∞

Example

assert(isNaN(acosh(0.9)));
assert(isNaN(acosh(real.nan)));
writeln(acosh(1.0)); // 0.0
writeln(acosh(real.infinity)); // real.infinity
assert(isNaN(acosh(0.5)));

Authors

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

License

Boost License 1.0.