Package org.hipparchus.special.elliptic.jacobi

Class JacobiEllipticBuilder

java.lang.Object
org.hipparchus.special.elliptic.jacobi.JacobiEllipticBuilder
public class JacobiEllipticBuilder extends Object
Builder for algorithms compmuting Jacobi elliptic functions.

The Jacobi elliptic functions are related to elliptic integrals.

There are different conventions to interpret the arguments of Jacobi elliptic functions. The first argument may be the amplitude φ, but is more often the variable u (with sn(u) = sin(φ) and cn(u) = cos(φ)). The second argument is either the modulus k or the parameter m with m = k². In Hipparchus, we adopted the convention to use u and m.

Since:
2.0

  • Method Details

    • build

      public static JacobiElliptic build(double m)
      Build an algorithm for computing Jacobi elliptic functions.
      Parameters:
      m - parameter of the Jacobi elliptic function
      Returns:
      selected algorithm

    • build

      public static <T extends CalculusFieldElement<T>> FieldJacobiElliptic<T> build(T m)
      Build an algorithm for computing Jacobi elliptic functions.
      Type Parameters:
      T - type of the field elements
      Parameters:
      m - parameter of the Jacobi elliptic function
      Returns:
      selected algorithm

    • build

      public static FieldJacobiElliptic<Complex> build(Complex m)
      Build an algorithm for computing Jacobi elliptic functions.
      Parameters:
      m - parameter of the Jacobi elliptic function
      Returns:
      selected algorithm

    • build

      public static <T extends CalculusFieldElement<T>> FieldJacobiElliptic<FieldComplex<T>> build(FieldComplex<T> m)
      Build an algorithm for computing Jacobi elliptic functions.
      Type Parameters:
      T - type of the field elements
      Parameters:
      m - parameter of the Jacobi elliptic function
      Returns:
      selected algorithm