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120 lines
2.7 KiB
Markdown
120 lines
2.7 KiB
Markdown
# `omath::unity_engine::MeshTrait` — mesh transformation trait for Unity Engine
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> Header: `omath/engines/unity_engine/traits/mesh_trait.hpp`
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> Namespace: `omath::unity_engine`
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> Purpose: provide Unity Engine-specific rotation matrix computation for `omath::primitives::Mesh`
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---
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## Summary
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`MeshTrait` is a trait class that provides the `rotation_matrix` function for transforming meshes in Unity's coordinate system. It serves as a template parameter to `omath::primitives::Mesh`, enabling engine-specific rotation behavior.
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---
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## Coordinate System
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**Unity Engine** uses:
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* **Up axis**: +Y
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* **Forward axis**: +Z
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* **Right axis**: +X
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* **Handedness**: Left-handed
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* **Rotation order**: Pitch (X) → Yaw (Y) → Roll (Z)
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---
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## API
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```cpp
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namespace omath::unity_engine {
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class MeshTrait final {
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public:
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[[nodiscard]]
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static Mat4X4 rotation_matrix(const ViewAngles& rotation);
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};
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} // namespace omath::unity_engine
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```
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---
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## Method: `rotation_matrix`
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```cpp
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static Mat4X4 rotation_matrix(const ViewAngles& rotation);
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```
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Computes a 4×4 rotation matrix from Unity-style Euler angles.
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**Parameters**:
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* `rotation` — `ViewAngles` containing pitch, yaw, and roll angles
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**Returns**: 4×4 rotation matrix suitable for mesh transformation
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**Implementation**: Delegates to `unity_engine::rotation_matrix(rotation)` defined in `formulas.hpp`.
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---
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## Usage
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### With Mesh
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```cpp
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using namespace omath::unity_engine;
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// Create mesh (MeshTrait is used automatically)
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Mesh my_mesh(vertices, indices);
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// Set rotation using ViewAngles
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ViewAngles angles;
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angles.pitch = PitchAngle::from_degrees(30.0f);
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angles.yaw = YawAngle::from_degrees(45.0f);
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angles.roll = RollAngle::from_degrees(0.0f);
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my_mesh.set_rotation(angles);
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// The rotation matrix is computed using MeshTrait::rotation_matrix
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auto matrix = my_mesh.get_to_world_matrix();
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```
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---
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## Rotation Conventions
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Unity uses a left-handed coordinate system with Y-up:
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1. **Pitch** (rotation around X-axis / right axis)
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* Positive pitch looks upward (+Y direction)
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* Range: typically [-89°, 89°]
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2. **Yaw** (rotation around Y-axis / up axis)
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* Positive yaw rotates clockwise when viewed from above (left-handed)
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* Range: [-180°, 180°]
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3. **Roll** (rotation around Z-axis / forward axis)
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* Positive roll tilts right
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* Range: [-180°, 180°]
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---
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## Type Alias
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```cpp
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namespace omath::unity_engine {
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using Mesh = primitives::Mesh<Mat4X4, ViewAngles, MeshTrait, float>;
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}
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```
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---
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## See Also
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- [Mesh Documentation](../../3d_primitives/mesh.md) - Mesh primitive
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- [Formulas Documentation](formulas.md) - Unity rotation formula
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- [CameraTrait Documentation](camera_trait.md) - Camera trait
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---
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*Last updated: 13 Nov 2025*
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