#pragma once
#include "vde/mesh/halfedge_mesh.h"
#include <vector>

namespace vde::mesh {

struct CurvatureResult {
    std::vector<double> gaussian;   // per-vertex Gaussian curvature
    std::vector<double> mean;       // per-vertex mean curvature
    std::vector<double> area;       // per-vertex Voronoi area
};

/// Discrete curvature using Cotan formula (Meyer et al. 2003)
/// Gaussian: K(v) = (2π - Σθ_j) / A_v       (interior vertices)
/// Mean:     H(v) = ||Σ(cot α + cot β)·e|| / (2·A_v)
CurvatureResult compute_curvature(const HalfedgeMesh& mesh);

}  // namespace vde::mesh