Special.Jacobi Method

Evaluates the Jacobi elliptic functions sn, cn, and dn.

Definition

Namespace: Extreme.Mathematics
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23
C# 
public static void Jacobi(
	double x,
	double k,
	out double sn,
	out double cn,
	out double dn
)

Parameters

x  Double
A real number.
k  Double
The modulus.
sn  Double
On return, the value of sn(x, k).
cn  Double
On return, the value of cn(x, k).
dn  Double
On return, the value of dn(x, k).

Remarks

Note that the second parameter, k is the modulus. Other parameterizations exist, including the squared modulus, m. In this case, sn(x|m) = sn(x, k) with k = sqrt(m), and similarly for the other functions.

See Also