IMSL_ELE
Syntax | Return Value | Arguments | Keywords | Discussion | Example | Version History
The IMSL_ELE function evaluates the complete elliptic integral of the second kind E(x).
Note
This routine requires an IDL Advanced Math and Stats license. For more information, contact your ITT Visual Information Solutions sales or technical support representative.
Syntax
Result = IMSL_ELE(x [, /DOUBLE])
Return Value
The complete elliptic integral E(x).
Arguments
x
Argument for which the function value is desired.
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, IMSL_ELE returns the largest representable floating-point number.
The function E(x) is computed using the routine IMSL_ELRF and IMSL_ELRD. The computation is done using the relation:
Example
The integral E(0.33) is evaluated.
Version History