- Tests compute_jacobian() for 2D triangles and 3D tetrahedra
- Validates identity, scaling, and rotation transformations
- Tests physical_derivatives() conversion from reference to physical coordinates
- Verifies constant strain condition (∑ dNᵢ/dx = 0)
- Element quality checks via determinant (positive = proper orientation)
- Detects degenerate elements (det ≈ 0)
- Type stability and zero allocation verification
- Manual calculation consistency checks for known Jacobians
- Tests both tuple and vector interfaces
- 261 lines covering fundamental isoparametric mapping operations
Jukka Aho