View source code
Display the source code in std/mathspecial.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.mathspecial.normalDistribution

Standard normal distribution function.

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

The normal (or Gaussian, or bell-shaped) distribution is defined as:

normalDist(x) = 1/√(2π) -∞x exp( - t2/2) dt = 0.5 + 0.5 * erf(x/sqrt(2)) = 0.5 * erfc(- x/sqrt(2))

To maintain accuracy at values of x near 1.0, use normalDistribution(x) = 1.0 - normalDistribution(-x).

References, G. Marsaglia, "Evaluating the Normal Distribution", Journal of Statistical Software 11, (July 2004).


Stephen L. Moshier (original C code). Conversion to D by Don Clugston


Boost License 1.0.