SpecialFunctionsEllipticF Method

The incomplete elliptic integral of the first kind.

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4

Syntax

public static double EllipticF(
	double phi,
	double m
)

Public Shared Function EllipticF ( 
	phi As Double,
	m As Double
) As Double

public:
static double EllipticF(
	double phi, 
	double m
)

static member EllipticF : 
        phi : float * 
        m : float -> float

Parameters

phi Double: Is a value on the x-axis.
m Double: The square of the elliptic modulus k, between 0 and 1 inclusive.

Return Value

Double
The integral from 0 to phi of dt / sqrt( 1 - m sin(t)*sin(t) )

Exceptions

Exception	Condition
ArgumentOutOfRangeException	Parameter m must be between 0 and 1, inclusive.

Remarks

Some implementations of the incomplete elliptic integral of the first kind use the elliptical modulus, k, instead of m, where m = k * k. The computational accuracy declines as the parameter m approaches 1.

Reference

SpecialFunctions Class

CenterSpace.NMath.Core Namespace