## Description

Rotates the input vector In around the axis Axis by the value of Rotation. The unit for rotation angle can be selected by the parameter Unit.

## Ports

Name Direction Type Binding Description
In Input Vector 3 None Input value
Axis Input Vector 3 None Axis to rotate around
Rotation Input Vector 1 None Amount of rotation to apply
Out Output Vector 3 None Output value

## Controls

Name Type Options Description
Unit Dropdown Radians, Degrees Switches the unit for input Rotation

## Generated Code Example

The following example code represents one possible outcome of this node per Unit mode.

``````void Unity_RotateAboutAxis_Radians_float(float3 In, float3 Axis, float Rotation, out float3 Out)
{
float s = sin(Rotation);
float c = cos(Rotation);
float one_minus_c = 1.0 - c;

Axis = normalize(Axis);
float3x3 rot_mat =
{   one_minus_c * Axis.x * Axis.x + c, one_minus_c * Axis.x * Axis.y - Axis.z * s, one_minus_c * Axis.z * Axis.x + Axis.y * s,
one_minus_c * Axis.x * Axis.y + Axis.z * s, one_minus_c * Axis.y * Axis.y + c, one_minus_c * Axis.y * Axis.z - Axis.x * s,
one_minus_c * Axis.z * Axis.x - Axis.y * s, one_minus_c * Axis.y * Axis.z + Axis.x * s, one_minus_c * Axis.z * Axis.z + c
};
Out = mul(rot_mat,  In);
}
``````

Degrees

``````void Unity_RotateAboutAxis_Degrees_float(float3 In, float3 Axis, float Rotation, out float3 Out)
{
float s = sin(Rotation);
float c = cos(Rotation);
float one_minus_c = 1.0 - c;

Axis = normalize(Axis);
float3x3 rot_mat =
{   one_minus_c * Axis.x * Axis.x + c, one_minus_c * Axis.x * Axis.y - Axis.z * s, one_minus_c * Axis.z * Axis.x + Axis.y * s,
one_minus_c * Axis.x * Axis.y + Axis.z * s, one_minus_c * Axis.y * Axis.y + c, one_minus_c * Axis.y * Axis.z - Axis.x * s,
one_minus_c * Axis.z * Axis.x - Axis.y * s, one_minus_c * Axis.y * Axis.z + Axis.x * s, one_minus_c * Axis.z * Axis.z + c
};
Out = mul(rot_mat,  In);
}
``````