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Stirling's Formula (G Dataflow)

Version:
    Last Modified: March 15, 2017

    Computes the Stirling approximation to the gamma function.

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    x

    The input argument.

    Default: 0

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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.

    Standard Error Behavior

    Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.

    error in does not contain an error error in contains an error
    If no error occurred before the node runs, the node begins execution normally.

    If no error occurs while the node runs, it returns no error. If an error does occur while the node runs, it returns that error information as error out.

    If an error occurred before the node runs, the node does not execute. Instead, it returns the error in value as error out.

    Default: No error

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    Stirling(x)

    Value of the Stirling function.

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    error out

    Error information.

    The node produces this output according to standard error behavior.

    Standard Error Behavior

    Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.

    error in does not contain an error error in contains an error
    If no error occurred before the node runs, the node begins execution normally.

    If no error occurs while the node runs, it returns no error. If an error does occur while the node runs, it returns that error information as error out.

    If an error occurred before the node runs, the node does not execute. Instead, it returns the error in value as error out.

    Algorithm for Computing the Stirling Approximation to the Gamma Function

    The following approximation defines the Stirling approximation to the gamma function.

    Γ ( x ) e x x x 1 / 2 ( 2 π ) 1 / 2 [ 1 + 1 12 x + 1 288 x 2 139 51840 x 3 571 2488320 x 4 + ... ]

    The function is defined according to the following interval for the input value.

    x [ 0 , )

    This node supports the entire domain of this function that produces real-valued results. The function is defined for nonnegative real values of x.

    Where This Node Can Run:

    Desktop OS: Windows

    FPGA: This product does not support FPGA devices


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