`omath::unity_engine::MeshTrait` — mesh transformation trait for Unity Engine

Header: omath/engines/unity_engine/traits/mesh_trait.hpp Namespace: omath::unity_engine Purpose: provide Unity Engine-specific rotation matrix computation for omath::primitives::Mesh

Summary

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.

Coordinate System

Unity Engine uses: * Up axis: +Y * Forward axis: +Z * Right axis: +X * Handedness: Left-handed * Rotation order: Pitch (X) → Yaw (Y) → Roll (Z)

API

namespace omath::unity_engine {

class MeshTrait final {
public:
    [[nodiscard]]
    static Mat4X4 rotation_matrix(const ViewAngles& rotation);
};

} // namespace omath::unity_engine

Method: `rotation_matrix`

static Mat4X4 rotation_matrix(const ViewAngles& rotation);

Computes a 4×4 rotation matrix from Unity-style Euler angles.

Parameters: * rotation — ViewAngles containing pitch, yaw, and roll angles

Returns: 4×4 rotation matrix suitable for mesh transformation

Implementation: Delegates to unity_engine::rotation_matrix(rotation) defined in formulas.hpp.

Usage

With Mesh

using namespace omath::unity_engine;

// Create mesh (MeshTrait is used automatically)
Mesh my_mesh(vertices, indices);

// Set rotation using ViewAngles
ViewAngles angles;
angles.pitch = PitchAngle::from_degrees(30.0f);
angles.yaw = YawAngle::from_degrees(45.0f);
angles.roll = RollAngle::from_degrees(0.0f);

my_mesh.set_rotation(angles);

// The rotation matrix is computed using MeshTrait::rotation_matrix
auto matrix = my_mesh.get_to_world_matrix();

Rotation Conventions

Unity uses a left-handed coordinate system with Y-up:

Pitch (rotation around X-axis / right axis)
Positive pitch looks upward (+Y direction)
Range: typically [-89°, 89°]
Yaw (rotation around Y-axis / up axis)
Positive yaw rotates clockwise when viewed from above (left-handed)
Range: [-180°, 180°]
Roll (rotation around Z-axis / forward axis)
Positive roll tilts right
Range: [-180°, 180°]

Type Alias

namespace omath::unity_engine {
    using Mesh = primitives::Mesh<Mat4X4, ViewAngles, MeshTrait, float>;
}

omath::unity_engine::MeshTrait — mesh transformation trait for Unity Engine