Creates a rotation matrix for performing a fast Givens rotation.
x-component for a two-element vector.
Default: 0
y-component for a two-element vector.
Default: 0
Scale factor for x.
Default: 0
Scale factor for y.
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
x-component after the Givens rotation.
Value that determines the structure and values of elements in rotation matrix.
Let H represent the output rotation matrix, and h_{11}, h_{12}, h_{21}, and h_{22} represent elements in rotation matrix.
Name | Value | Description |
---|---|---|
-2 | -2 | $H=\left[\begin{array}{cc}1& 0\\ 0& 1\end{array}\right]$ |
-1 | -1 | $H=\left[\begin{array}{cc}{h}_{11}& {h}_{12}\\ {h}_{21}& {h}_{22}\end{array}\right]$ |
0 | 0 | $H=\left[\begin{array}{cc}1& {h}_{12}\\ {h}_{21}& 1\end{array}\right]$ |
1 | 1 | $H=\left[\begin{array}{cc}{h}_{11}& 1\\ -1& {h}_{22}\end{array}\right]$ |
2 × 2 fast Givens rotation matrix.
Updated scale factor for the x-component.
Algorithm for Updating Scale Factors
The fast Givens rotation matrix and scale factors must satisfy the following equation:
where H represents rotation matrix.
Updated scale factor for the y-component.
Algorithm for Updating Scale Factors
The fast Givens rotation matrix and scale factors must satisfy the following equation:
where H represents rotation matrix.
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.
This node calculates the fast Givens rotation matrix using the following equation:
where
Where This Node Can Run:
Desktop OS: Windows
FPGA: Not supported
Web Server: Not supported in VIs that run in a web application