Package smile.math.special

Class Erf

java.lang.Object
smile.math.special.Erf
public class Erf extends Object
The error function. The error function (or the Gauss error function) is a special function of sigmoid shape which occurs in probability, statistics, materials science, and partial differential equations. It is defined as:

erf(x) = ∫0x e-t^2dt

The complementary error function, denoted erfc, is defined as erfc(x) = 1 - erf(x). The error function and complementary error function are special cases of the incomplete gamma function.

  • Method Summary

    Modifier and Type
    Method
    Description
    static double
    erf(double x)
    The Gauss error function.
    static double
    erfc(double x)
    The complementary error function.
    static double
    erfcc(double x)
    The complementary error function with fractional error everywhere less than 1.2 × 10-7.
    static double
    inverf(double p)
    The inverse error function.
    static double
    inverfc(double p)
    The inverse complementary error function.

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Method Details

    • erf

      public static double erf(double x)
      The Gauss error function.
      Parameters:
      x - a real number.
      Returns:
      the function value.

    • erfc

      public static double erfc(double x)
      The complementary error function.
      Parameters:
      x - a real number.
      Returns:
      the function value.

    • erfcc

      public static double erfcc(double x)
      The complementary error function with fractional error everywhere less than 1.2 × 10-7. This concise routine is faster than erfc.
      Parameters:
      x - a real number.
      Returns:
      the function value.

    • inverfc

      public static double inverfc(double p)
      The inverse complementary error function.
      Parameters:
      p - a real number.
      Returns:
      the function value.

    • inverf

      public static double inverf(double p)
      The inverse error function.
      Parameters:
      p - a real number.
      Returns:
      the function value.