mathe/Library/PackageCache/com.unity.shadergraph@14.0.8/Documentation~/Rotate-About-Axis-Node.md

Rotate About Axis Node

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	Float	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.

Radians

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)
{
    Rotation = radians(Rotation);
    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);
}