Determines the coefficients of a rational polynomial to best suit a given set of derivatives.
Derivatives of the function.
Degree of the numerator polynomial.
Default: 0
Degree of the denominator polynomial.
Default: 0
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.
Default: No error
Numerator polynomial coefficients in ascending order of power.
Denominator polynomial coefficients in ascending order of power.
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.
Let f be a given function with known derivatives and values: f(0), f'(0), ..., f^{(m + n)}(0). This node determines the rational polynomial to best suit the derivatives of f by solving the following linear equation.
For m ≥ n,
where
The rational polynomial g(x) agrees with f(x) to the highest possible order of m + n:
Where This Node Can Run:
Desktop OS: Windows
FPGA: This product does not support FPGA devices