Evaluates the complete elliptic integral of the second kind E(x).
Synopsis
#include <imsl.h>
float imsl_f_elliptic_integral_E (float x)
The type double function is imsl_d_elliptic_integral_E.
Required Arguments
float x
(Input)
Argument for which the function value is desired.
Return Value
The complete elliptic integral E(x).
Description
The complete elliptic integral of the second kind is defined to be
The argument x must satisfy 0 ≤ x < 1; otherwise, imsl_f_elliptic_integral_E returns imsl_f_machine(2), the largest representable floating-point number.
The function E(x) is computed using the routine imsl_f_elliptic_integral_RF and imsl_f_elliptic_integral_RD. The computation is done using the relation
Example
The integral E(0.33) is evaluated.
#include <imsl.h>
int main()
{
float x = 0.33;
float ans;
x = imsl_f_elliptic_integral_E (x);
printf ("E(0.33) = %f\n", x);
}
Output
E(0.33) = 1.431832
