64 lines
2.3 KiB
Markdown
64 lines
2.3 KiB
Markdown
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# Rotate About Axis Node
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## Description
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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**.
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## Ports
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| Name | Direction | Type | Binding | Description |
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|:------------ |:-------------|:-----|:---|:---|
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| In | Input | Vector 3 | None | Input value |
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| Axis | Input | Vector 3 | None | Axis to rotate around |
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| Rotation | Input | Float | None | Amount of rotation to apply |
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| Out | Output | Vector 3 | None | Output value |
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## Controls
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| Name | Type | Options | Description |
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|:------------ |:-------------|:-----|:---|
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| Unit | Dropdown | Radians, Degrees | Switches the unit for input **Rotation** |
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## Generated Code Example
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The following example code represents one possible outcome of this node per **Unit** mode.
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**Radians**
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```
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void Unity_RotateAboutAxis_Radians_float(float3 In, float3 Axis, float Rotation, out float3 Out)
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{
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float s = sin(Rotation);
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float c = cos(Rotation);
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float one_minus_c = 1.0 - c;
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Axis = normalize(Axis);
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float3x3 rot_mat =
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{ 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,
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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,
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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
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};
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Out = mul(rot_mat, In);
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}
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```
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**Degrees**
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```
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void Unity_RotateAboutAxis_Degrees_float(float3 In, float3 Axis, float Rotation, out float3 Out)
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{
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Rotation = radians(Rotation);
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float s = sin(Rotation);
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float c = cos(Rotation);
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float one_minus_c = 1.0 - c;
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Axis = normalize(Axis);
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float3x3 rot_mat =
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{ 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,
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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,
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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
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};
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Out = mul(rot_mat, In);
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}
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```
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