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signed_volume

qualia_core_db::specialized_libs::computational_geometry

Function signed_volume 

Source 
pub fn signed_volume(
    vertices: &[Point3],
    triangles: &[[u32; 3]],
) -> Result<f64, MeshMeasureError>
Expand description

Signed volume = Σ (1/6) · a · (b × c) (divergence theorem, tetrahedra to the origin).

For a closed, consistently-oriented mesh this is the enclosed volume, and its sign encodes global orientation (positive when triangles wind outward / CCW seen from outside). For a closed mesh the result is origin-independent; for an open mesh the value is origin-dependent and not a meaningful volume — the caller must confirm closure (via super::topology::build_triangle_half_edges, boundary-edge count = 0) before interpreting it as such. Deterministic (fixed summation order).