create TO_MESH function for columnstore

SELECT CONCAT(FLOOR(lon), ',', FLOOR(lat), ':', MOD(FLOOR(lon * 10), 10)...) FROM large_spatial_table;

SELECT TO_MESH(lon, lat, 4) FROM large_spatial_table;

To remain flexible for proprietary systems (like the user's 10,10,10,4 pattern), the function could accept a bit-packed integer or a simple string flag as a schema-selector:

    ST_GeoMesh(lon, lat, depth, '10,10,10,4')

Mathematical Logic for Distributed Execution

The core logic of the TO_MESH function can be vectorized. Instead of a WHILE loop with dynamic JSON extraction, the engine should use a pre-compiled array of subdivision factors.

Logic (C++ Pseudo-code for PM integration):

// Static or configurable subdivision factors

const int mesh_factors[] = {1, 10, 10, 10, 4}; // Example for depth 0-4

string calculate_mesh(double lon, double lat, int depth) {

    // 1. Initial 1-degree grid (Base Layer)

    string key = to_string(floor(lon)) + "," + to_string(floor(lat));

    if (depth <= 0) return key;

    key += ":";

    // 2. Normalize to positive range for consistent MOD operations

    double v_x = lon + 180.0;

    double v_y = lat + 90.0;

    // 3. Hierarchical Scaling

    double scale = 1.0;

    for (int i = 1; i <= depth; ++i) {

        scale *= mesh_factors[i];

        // Use optimized integer math for the mesh digits

        int digit_x = static_cast<int>(floor(v_x * scale)) % mesh_factors[i];

        int digit_y = static_cast<int>(floor(v_y * scale)) % mesh_factors[i];

        key += to_string(digit_x) + to_string(digit_y);

    }

    return key;

}