Add Polynomials (Rational Polynomials) (G Dataflow)

Last Modified: June 25, 2019

Adds together two rational polynomials.

p(x) numerator

Numerator coefficients, in ascending order of power, of the first rational polynomial.

This input accepts the following data types:

• 1D array of double-precision, floating-point numbers
• 1D array of complex double-precision, floating-point numbers

p(x) denominator

Denominator coefficients, in ascending order of power, of the first rational polynomial.

This input accepts the following data types:

• 1D array of double-precision, floating-point numbers
• 1D array of complex double-precision, floating-point numbers

q(x) numerator

Numerator coefficients, in ascending order of power, of the second rational polynomial.

This input accepts the following data types:

• 1D array of double-precision, floating-point numbers
• 1D array of complex double-precision, floating-point numbers

q(x) denominator

Denominator coefficients, in ascending order of power, of the second rational polynomial.

This input accepts the following data types:

• 1D array of double-precision, floating-point numbers
• 1D array of complex double-precision, floating-point numbers

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

threshold

Level at which the node removes the trailing elements from the numerator and denominator of the addition of two polynomials.

The node removes the trailing elements whose absolute values or relative values are less than or equal to threshold. If all the elements in the numerator and denominator of the addition of two polynomials are less than or equal to threshold, g(x) numerator and g(x) denominator return a one-element array.

Default: 0

threshold type

Method this node uses to remove the trailing elements from the numerator and denominator of the addition of two polynomials.

Name Value Description
Absolute Value 0 Removes the trailing elements whose absolute values are less than or equal to threshold.
Relative Value 1 Removes the trailing elements whose absolute values are less than or equal to threshold * |a|, where a is the coefficient that has the maximum absolute value in the numerator and denominator of the addition of two polynomials.

Default: Absolute Value

g(x) numerator

Numerator coefficients, in ascending order of power, of the rational polynomial that results from the addition of two rational polynomials.

This output can return the following data types:

• 1D array of double-precision, floating-point numbers
• 1D array of complex double-precision, floating-point numbers

g(x) denominator

Denominator coefficients, in ascending order of power, of the rational polynomial that results from the addition of two rational polynomials.

This output can return the following data types:

• 1D array of double-precision, floating-point numbers
• 1D array of complex double-precision, floating-point numbers

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 Adding Rational Polynomials

This node uses the following equation to add two rational polynomials:

$g\left(x\right)=p\left(x\right)+q\left(x\right)=\frac{{p}_{n}\left(x\right)}{{p}_{d}\left(x\right)}+\frac{{q}_{n}\left(x\right)}{{q}_{d}\left(x\right)}=\frac{{p}_{n}\left(x\right){q}_{d}\left(x\right)+{q}_{n}\left(x\right){p}_{d}\left(x\right)}{{p}_{d}\left(x\right){q}_{d}\left(x\right)}$

where

• g(x) is the addition of p(x) and q(x)
• p(x) is the first rational polynomial
• q(x) is the second rational polynomial
• pn(x) is the numerator polynomial of p(x)
• qn(x) is the numerator polynomial of q(x)
• pd(x) is the denominator polynomial of p(x)
• qd(x) is the denominator polynomial of q(x)

Where This Node Can Run:

Desktop OS: Windows

FPGA: Not supported

Web Server: Not supported in VIs that run in a web application