ELE Function

Evaluates the complete elliptic integral of the second kind E(x).

Usage

result = ELE(x)

Input Parameters

x—Argument for which the function value is desired.

Returned Value

result—The complete elliptic integral E(x).

Input Keywords

Double—If present and nonzero, double precision is used.

Discussion

The complete elliptic integral of the second kind is defined to be:

 

The argument x must satisfy 0 £ x < 1; otherwise, ELE returns the largest representable floating-point number.

The function E(x) is computed using the routine ELRF and ELRD. The computation is done using the relation:

 

Example

The integral E(0.33) is evaluated.

PRINT, ELE(0.33)

; PV-WAVE prints: 1.43183