Rotates a three-dimensional Cartesian coordinate system or a coordinate in the counterclockwise direction using the Euler angles method.
Euler angles in radians.
This input accepts both proper and Tait-Bryan angle types.
Rotation angle about the first axis in radians.
Default: 0
Rotation angle about the second axis in radians.
Default: 0
Rotation angle about the third axis in radians.
Default: 0
Order of the axes to rotate the coordinates around.
Name | Value | Description |
---|---|---|
X-Y-Z | 0 | The first, second, and third rotations are about the x-, y-, and z-axes, respectively. |
X-Z-Y | 1 | The first, second, and third rotations are about the x-, z-, and y-axes, respectively. |
Y-X-Z | 2 | The first, second, and third rotations are about the y-, x-, and z-axes, respectively. |
Y-Z-X | 3 | The first, second, and third rotations are about the y-, z-, and x-axes, respectively. |
Z-X-Y | 4 | The first, second, and third rotations are about the z-, x-, and y-axes, respectively. |
Z-Y-X | 5 | The first, second, and third rotations are about the z-, y-, and x-axes, respectively. |
X-Y-X | 6 | The first, second, and third rotations are about the x-, y-, and x-axes, respectively. |
X-Z-X | 7 | The first, second, and third rotations are about the x-, z-, and x-axes, respectively. |
Y-X-Y | 8 | The first, second, and third rotations are about the y-, x-, and y-axes, respectively. |
Y-Z-Y | 9 | The first, second, and third rotations are about the y-, z-, and y-axes, respectively. |
Z-X-Z | 10 | The first, second, and third rotations are about the z-, x-, and z-axes, respectively. |
Z-Y-Z | 11 | The first, second, and third rotations are about the z-, y-, and z-axes, respectively. |
Default: Z-X-Z
Type of rotation to perform.
Name | Value | Description |
---|---|---|
Passive and Intrinsic | 0 | The rotation occurs about the axes of a rotating coordinate system, which is initially aligned with the fixed one, and modifies its orientation after each elemental rotation. The coordinate system rotates, while the coordinate is fixed. |
Passive and Extrinsic | 1 | The rotation occurs about the axes of a fixed coordinate system. The coordinate system rotates, while the coordinate is fixed. |
Active | 2 | The rotation occurs about the axes of the same coordinate system. The coordinate system is fixed, while the coordinate rotates. |
Default: Passive and Intrinsic
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
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.
The following figure demonstrates how this node rotates three-dimensional Cartesian coordinates using the Euler angles method when rotation order is Z-X-Z and rotation type is Passive and Intrinsic.
The following steps describe the rotation:
The following equations describe how this node rotates three-dimensional Cartesian coordinates using the Euler angles method:
Let R_{x}(α), R_{y}(α), and R_{z}(α) be the rotation matrices of rotating the coordinate system by α angles about the x-, y-, and z-axes, respectively. R_{x}(α), R_{y}(α), and R_{z}(α) are defined as follows:
This node calculates the rotated coordinates using the following equation:
where
where
Where This Node Can Run:
Desktop OS: Windows
FPGA: This product does not support FPGA devices