Dilogarithm (G Dataflow)

Version:

Computes the dilogarithm function, or Spence's Integral.

x

The input argument.

Default: 0

error in

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

Default: No error

diln(x)

Value of the dilogarithm function.

error out

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

Algorithm for Computing the Dilogarithm Function

The following equation defines the dilogarithm function.

$\mathrm{diln}\left(x\right)=-{\int }_{1}^{x}\frac{\mathrm{ln}\left(t\right)}{t-1}dt$

The following intervals for the input values define the dilogarithm function.

$x\in \left[0,\infty \right)$

The function is defined for nonnegative real values of x.

Where This Node Can Run:

Desktop OS: Windows

FPGA: Not supported