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Function std.mathspecial.normalDistribution
Normal distribution function.
The normal (or Gaussian, or bell-shaped) distribution is defined as:
normalDist(x) = 1/(2π) -∞, x exp( - t, 2/2) 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).
Prototype
real normalDistribution( real x ) pure nothrow @nogc @safe;
References
http://www.netlib.org/cephes/ldoubdoc.html, G. Marsaglia, "Evaluating the Normal Distribution", Journal of Statistical Software 11, (July 2004).
Authors
Stephen L. Moshier (original C code). Conversion to D by Don Clugston