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Elliptic Integral of the 2nd Kind (Incomplete Elliptic Integral E) (G Dataflow)

Version:
    Last Modified: January 9, 2017

    Computes the incomplete Legendre elliptic integral of the second kind.

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    k

    The modulus argument. k is a real number between 0 and 1.

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    a

    The amplitude of the function, which is the upper limit of the integral.

    Default: Pi/2

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    error in

    Error conditions that occur before this node runs. The node responds to this input according to standard error behavior.

    Default: No error

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    E(k, a)

    Value of the incomplete elliptic integral of the second kind.

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    error out

    Error information. The node produces this output according to standard error behavior.

    Algorithm for Computing the Incomplete Elliptic Integral of the Second kind

    The following equation defines the incomplete elliptic integral of the second kind.

    E ( k , a ) = 0 a 1 k sin 2 θ d θ

    The following intervals for the input values define the function.

    a , k [ 0 , 1 ]

    This node supports the entire domain of this function that produces real-valued results. For any real value of upper limit a, the function is defined for all real values of k in the unit interval.

    Where This Node Can Run:

    Desktop OS: Windows

    FPGA: Not supported


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