rustial-engine 0.0.1

//! Point clustering engine (supercluster-equivalent).
//!
//! Provides zoom-based point clustering for GeoJSON point sources,
//! matching the behaviour of MapLibre/Mapbox's supercluster algorithm.
//!
//! # Algorithm
//!
//! 1. All input points are projected to a `[0, 1)` Mercator plane.
//! 2. At each zoom level from `max_zoom` down to `min_zoom`, a spatial
//!    grid is used to find nearby points within `radius` (in screen-pixel
//!    units, converted to world-space for each zoom).
//! 3. Nearby points are merged into cluster nodes. Each cluster carries
//!    `point_count` and optional aggregated properties.
//! 4. Querying for a specific zoom returns a mix of cluster features
//!    (for merged groups) and individual point features (for isolated
//!    points or at zooms above `max_zoom`).
//!
//! # Usage
//!
//! ```ignore
//! use rustial_engine::cluster::{PointCluster, ClusterOptions};
//! use rustial_engine::geometry::FeatureCollection;
//!
//! let options = ClusterOptions {
//!     radius: 50.0,
//!     max_zoom: 16,
//!     min_zoom: 0,
//!     min_points: 2,
//!     ..Default::default()
//! };
//! let mut cluster = PointCluster::new(options);
//! cluster.load(&features);
//! let clustered = cluster.get_clusters_for_zoom(5);
//! ```

use crate::geometry::{Feature, FeatureCollection, Geometry, Point, PropertyValue};
use rustial_math::GeoCoord;
use std::collections::HashMap;

// ---------------------------------------------------------------------------
// Configuration
// ---------------------------------------------------------------------------

/// Options controlling point-clustering behaviour.
#[derive(Debug, Clone)]
pub struct ClusterOptions {
    /// Screen-pixel clustering radius (default 50).
    pub radius: f64,
    /// Maximum zoom level at which clusters are generated.
    /// At zooms above this, all points are returned individually.
    pub max_zoom: u8,
    /// Minimum zoom level at which clusters are generated.
    pub min_zoom: u8,
    /// Minimum number of points to form a cluster (default 2).
    pub min_points: usize,
    /// Tile extent in pixel units (default 512).
    pub tile_extent: f64,
}

impl Default for ClusterOptions {
    fn default() -> Self {
        Self {
            radius: 50.0,
            max_zoom: 16,
            min_zoom: 0,
            min_points: 2,
            tile_extent: 512.0,
        }
    }
}

// ---------------------------------------------------------------------------
// Internal representation
// ---------------------------------------------------------------------------

/// Internal node — either an original point or a cluster.
#[derive(Debug, Clone)]
struct ClusterNode {
    /// Mercator-projected `[x, y]` in `[0, 1)` range.
    x: f64,
    y: f64,
    /// Weight (number of contained points).
    point_count: u32,
    /// Index into the *original* points array if this is a leaf (weight == 1).
    /// For cluster nodes this is `u32::MAX`.
    source_index: u32,
    /// Unique cluster id assigned during clustering.
    cluster_id: u32,
    /// Zoom level at which this cluster was formed.
    /// For leaf nodes this is `u8::MAX`.
    cluster_zoom: u8,
    /// Indices of the children (source points or other clusters) that
    /// were merged to form this cluster.  Empty for leaf nodes.
    children: Vec<u32>,
    /// Aggregated properties for this cluster (e.g. sums, counts).
    properties: HashMap<String, PropertyValue>,
}

// ---------------------------------------------------------------------------
// Spatial grid index
// ---------------------------------------------------------------------------

/// Simple grid-based spatial index for a single zoom level.
struct SpatialGrid {
    cells: HashMap<u64, Vec<usize>>,
    cell_size: f64,
}

impl SpatialGrid {
    fn new(cell_size: f64) -> Self {
        Self {
            cells: HashMap::new(),
            cell_size,
        }
    }

    fn insert(&mut self, idx: usize, x: f64, y: f64) {
        let key = self.cell_key(x, y);
        self.cells.entry(key).or_default().push(idx);
    }

    /// Return all indices of nodes whose grid cell is within `radius`
    /// distance of `(cx, cy)`.  Callers must do exact-distance checks.
    fn query_radius(&self, cx: f64, cy: f64, radius: f64) -> Vec<usize> {
        let min_cell_x = ((cx - radius) / self.cell_size).floor() as i32;
        let max_cell_x = ((cx + radius) / self.cell_size).floor() as i32;
        let min_cell_y = ((cy - radius) / self.cell_size).floor() as i32;
        let max_cell_y = ((cy + radius) / self.cell_size).floor() as i32;

        let mut result = Vec::new();
        for gx in min_cell_x..=max_cell_x {
            for gy in min_cell_y..=max_cell_y {
                let key = Self::raw_cell_key(gx, gy);
                if let Some(bucket) = self.cells.get(&key) {
                    result.extend_from_slice(bucket);
                }
            }
        }
        result
    }

    #[inline]
    fn cell_key(&self, x: f64, y: f64) -> u64 {
        let gx = (x / self.cell_size).floor() as i32;
        let gy = (y / self.cell_size).floor() as i32;
        Self::raw_cell_key(gx, gy)
    }

    #[inline]
    fn raw_cell_key(gx: i32, gy: i32) -> u64 {
        // Pack two i32 into a u64 key.
        let ux = gx as u32;
        let uy = gy as u32;
        (ux as u64) << 32 | (uy as u64)
    }
}

// ---------------------------------------------------------------------------
// Mercator helpers
// ---------------------------------------------------------------------------

/// Convert longitude to Mercator `x` in `[0, 1)`.
#[inline]
fn lng_x(lng: f64) -> f64 {
    lng / 360.0 + 0.5
}

/// Convert latitude to Mercator `y` in `[0, 1)` (clamped).
#[inline]
fn lat_y(lat: f64) -> f64 {
    let sin_lat = (lat * std::f64::consts::PI / 180.0).sin();
    let y = 0.5 - 0.25 * ((1.0 + sin_lat) / (1.0 - sin_lat)).ln() / std::f64::consts::PI;
    y.clamp(0.0, 1.0)
}

/// Convert Mercator `x` back to longitude.
#[inline]
fn x_lng(x: f64) -> f64 {
    (x - 0.5) * 360.0
}

/// Convert Mercator `y` back to latitude.
#[inline]
fn y_lat(y: f64) -> f64 {
    let y2 = (180.0 - 360.0 * y) * std::f64::consts::PI / 180.0;
    360.0 * y2.exp().atan() / std::f64::consts::PI - 90.0
}

// ---------------------------------------------------------------------------
// PointCluster
// ---------------------------------------------------------------------------

/// A zoom-based point clustering index.
///
/// Load a set of point features, then query clustered results at any
/// zoom level.  The algorithm mirrors MapLibre/Mapbox supercluster.
pub struct PointCluster {
    options: ClusterOptions,
    /// All nodes.  Original points are indices `0..point_count`.
    /// Cluster nodes follow.
    nodes: Vec<ClusterNode>,
    /// Number of original input points.
    input_count: usize,
    /// Original features (for returning unclustered results).
    original_features: Vec<Feature>,
    /// Per-zoom node index sets.  `zoom_nodes[z]` holds the node indices
    /// that are active at zoom `z`.
    zoom_nodes: Vec<Vec<usize>>,
    /// Next cluster ID to assign.
    next_cluster_id: u32,
}

impl PointCluster {
    /// Create a new (empty) cluster index with the given options.
    pub fn new(options: ClusterOptions) -> Self {
        let zoom_range = (options.max_zoom as usize + 2).max(1);
        Self {
            options,
            nodes: Vec::new(),
            input_count: 0,
            original_features: Vec::new(),
            zoom_nodes: vec![Vec::new(); zoom_range],
            next_cluster_id: 0,
        }
    }

    /// Load (or replace) the point features and build the cluster index.
    ///
    /// Non-point features are silently ignored.
    pub fn load(&mut self, features: &FeatureCollection) {
        self.nodes.clear();
        self.original_features.clear();
        self.next_cluster_id = 0;
        for v in &mut self.zoom_nodes {
            v.clear();
        }

        // Extract points and project to Mercator.
        for feature in &features.features {
            if let Some(coord) = extract_point_coord(&feature.geometry) {
                let node = ClusterNode {
                    x: lng_x(coord.lon),
                    y: lat_y(coord.lat),
                    point_count: 1,
                    source_index: self.nodes.len() as u32,
                    cluster_id: u32::MAX,
                    cluster_zoom: u8::MAX,
                    children: Vec::new(),
                    properties: HashMap::new(),
                };
                self.nodes.push(node);
                self.original_features.push(feature.clone());
            }
        }
        self.input_count = self.nodes.len();

        if self.input_count == 0 {
            return;
        }

        // Start with all input points active at max_zoom + 1.
        let top_zoom = self.options.max_zoom as usize + 1;
        if top_zoom < self.zoom_nodes.len() {
            self.zoom_nodes[top_zoom] = (0..self.input_count).collect();
        }

        // Cluster from max_zoom down to min_zoom.
        for z in (self.options.min_zoom..=self.options.max_zoom).rev() {
            self.cluster_zoom(z);
        }
    }

    /// Return the clustered features for a given zoom level.
    ///
    /// Features with `point_count > 1` are clusters; their properties
    /// include `cluster: true`, `cluster_id`, and `point_count`.
    /// Individual points carry their original properties.
    pub fn get_clusters_for_zoom(&self, zoom: u8) -> FeatureCollection {
        let z = zoom.min(self.options.max_zoom + 1) as usize;
        if z >= self.zoom_nodes.len() {
            // Above max_zoom — return all original points.
            return FeatureCollection {
                features: self.original_features.clone(),
            };
        }

        let active = &self.zoom_nodes[z];
        let mut out = Vec::with_capacity(active.len());
        for &idx in active {
            let node = &self.nodes[idx];
            if node.point_count == 1 && (node.source_index as usize) < self.original_features.len()
            {
                // Unclustered original point.
                out.push(self.original_features[node.source_index as usize].clone());
            } else {
                // Cluster feature — synthesize a Point at the weighted centroid.
                let coord = GeoCoord::new(y_lat(node.y), x_lng(node.x), 0.0);
                let mut props = node.properties.clone();
                props.insert("cluster".into(), PropertyValue::Bool(true));
                props.insert(
                    "cluster_id".into(),
                    PropertyValue::Number(node.cluster_id as f64),
                );
                props.insert(
                    "point_count".into(),
                    PropertyValue::Number(node.point_count as f64),
                );
                props.insert(
                    "point_count_abbreviated".into(),
                    PropertyValue::String(abbreviate_count(node.point_count)),
                );
                out.push(Feature {
                    geometry: Geometry::Point(Point { coord }),
                    properties: props,
                });
            }
        }

        FeatureCollection { features: out }
    }

    /// Return the zoom level at which a cluster expands (breaks into
    /// its children).  Returns `None` if the id is not a cluster.
    pub fn get_cluster_expansion_zoom(&self, cluster_id: u32) -> Option<u8> {
        for node in &self.nodes {
            if node.cluster_id == cluster_id && node.point_count > 1 {
                return Some(node.cluster_zoom.saturating_add(1));
            }
        }
        None
    }

    /// Return the immediate children of a cluster (may be sub-clusters
    /// or original points).  Returns `None` if the id is not a cluster.
    pub fn get_cluster_children(&self, cluster_id: u32) -> Option<Vec<Feature>> {
        let node = self
            .nodes
            .iter()
            .find(|n| n.cluster_id == cluster_id && n.point_count > 1)?;
        let mut children = Vec::new();
        for &child_idx in &node.children {
            let child_idx = child_idx as usize;
            if child_idx >= self.nodes.len() {
                continue;
            }
            let child = &self.nodes[child_idx];
            if child.point_count == 1
                && (child.source_index as usize) < self.original_features.len()
            {
                children.push(self.original_features[child.source_index as usize].clone());
            } else {
                let coord = GeoCoord::new(y_lat(child.y), x_lng(child.x), 0.0);
                let mut props = child.properties.clone();
                props.insert("cluster".into(), PropertyValue::Bool(true));
                props.insert(
                    "cluster_id".into(),
                    PropertyValue::Number(child.cluster_id as f64),
                );
                props.insert(
                    "point_count".into(),
                    PropertyValue::Number(child.point_count as f64),
                );
                children.push(Feature {
                    geometry: Geometry::Point(Point { coord }),
                    properties: props,
                });
            }
        }
        Some(children)
    }

    /// Return all original (leaf) points contained in a cluster.
    ///
    /// `limit` caps the result size. `offset` skips the first N leaves.
    pub fn get_cluster_leaves(
        &self,
        cluster_id: u32,
        limit: usize,
        offset: usize,
    ) -> Option<Vec<Feature>> {
        let node = self
            .nodes
            .iter()
            .find(|n| n.cluster_id == cluster_id && n.point_count > 1)?;

        let mut leaves = Vec::new();
        let mut skipped = 0usize;
        self.collect_leaves(node, limit, offset, &mut leaves, &mut skipped);
        Some(leaves)
    }

    /// Number of original input points loaded.
    pub fn input_count(&self) -> usize {
        self.input_count
    }

    // -- Internal ---------------------------------------------------------

    fn cluster_zoom(&mut self, zoom: u8) {
        let z = zoom as usize;
        let parent_z = z + 1;
        if parent_z >= self.zoom_nodes.len() {
            return;
        }

        // Clustering radius in Mercator coordinates for this zoom.
        let r = self.options.radius / (self.options.tile_extent * (1u64 << zoom) as f64);

        // Build spatial grid from the parent zoom's active nodes.
        let parent_indices = self.zoom_nodes[parent_z].clone();
        let mut grid = SpatialGrid::new(r);
        for &idx in &parent_indices {
            let node = &self.nodes[idx];
            grid.insert(idx, node.x, node.y);
        }

        // Track which parent nodes have been consumed into a cluster.
        let mut consumed = vec![false; self.nodes.len()];
        let mut active_at_zoom: Vec<usize> = Vec::new();

        for &idx in &parent_indices {
            if consumed[idx] {
                continue;
            }

            let node = &self.nodes[idx];
            let cx = node.x;
            let cy = node.y;

            // Find neighbours within radius.
            let candidates = grid.query_radius(cx, cy, r);
            let mut neighbours: Vec<usize> = Vec::new();
            for &cand_idx in &candidates {
                if cand_idx == idx || consumed[cand_idx] {
                    continue;
                }
                let cand = &self.nodes[cand_idx];
                let dx = cand.x - cx;
                let dy = cand.y - cy;
                if dx * dx + dy * dy <= r * r {
                    neighbours.push(cand_idx);
                }
            }

            let total_count: u32 = node.point_count
                + neighbours
                    .iter()
                    .map(|&i| self.nodes[i].point_count)
                    .sum::<u32>();

            if total_count < self.options.min_points as u32 || neighbours.is_empty() {
                // Not enough points — keep as-is.
                active_at_zoom.push(idx);
                continue;
            }

            // Form a cluster.
            let mut wx = cx * node.point_count as f64;
            let mut wy = cy * node.point_count as f64;
            let mut children = vec![idx as u32];
            consumed[idx] = true;

            for &ni in &neighbours {
                let n = &self.nodes[ni];
                wx += n.x * n.point_count as f64;
                wy += n.y * n.point_count as f64;
                children.push(ni as u32);
                consumed[ni] = true;
            }

            let cluster_id = self.next_cluster_id;
            self.next_cluster_id += 1;

            let cluster_node = ClusterNode {
                x: wx / total_count as f64,
                y: wy / total_count as f64,
                point_count: total_count,
                source_index: u32::MAX,
                cluster_id,
                cluster_zoom: zoom,
                children,
                properties: HashMap::new(),
            };

            let cluster_idx = self.nodes.len();
            self.nodes.push(cluster_node);
            // Extend consumed to cover the new node.
            consumed.push(false);
            active_at_zoom.push(cluster_idx);
        }

        // Nodes not consumed stay active at this zoom.
        for &idx in &parent_indices {
            if !consumed[idx] {
                // Already pushed during the main loop.
            }
        }

        if z < self.zoom_nodes.len() {
            self.zoom_nodes[z] = active_at_zoom;
        }
    }

    fn collect_leaves(
        &self,
        node: &ClusterNode,
        limit: usize,
        offset: usize,
        leaves: &mut Vec<Feature>,
        skipped: &mut usize,
    ) {
        if leaves.len() >= limit {
            return;
        }
        for &child_idx in &node.children {
            let ci = child_idx as usize;
            if ci >= self.nodes.len() {
                continue;
            }
            let child = &self.nodes[ci];
            if child.point_count == 1 {
                if *skipped < offset {
                    *skipped += 1;
                } else if leaves.len() < limit {
                    if let Some(f) = self.original_features.get(child.source_index as usize) {
                        leaves.push(f.clone());
                    }
                }
            } else {
                self.collect_leaves(child, limit, offset, leaves, skipped);
            }
        }
    }
}

// ---------------------------------------------------------------------------
// Helpers
// ---------------------------------------------------------------------------

/// Extract the coordinate from a Point or the first point of a MultiPoint.
fn extract_point_coord(geometry: &Geometry) -> Option<GeoCoord> {
    match geometry {
        Geometry::Point(p) => Some(p.coord),
        Geometry::MultiPoint(mp) => mp.points.first().map(|p| p.coord),
        _ => None,
    }
}

/// Abbreviate a point count: "1234" → "1.2k", "1234567" → "1.2M".
fn abbreviate_count(n: u32) -> String {
    if n >= 1_000_000 {
        format!("{:.1}M", n as f64 / 1_000_000.0)
    } else if n >= 10_000 {
        format!("{:.0}k", n as f64 / 1_000.0)
    } else if n >= 1_000 {
        format!("{:.1}k", n as f64 / 1_000.0)
    } else {
        n.to_string()
    }
}

// ---------------------------------------------------------------------------
// Tests
// ---------------------------------------------------------------------------

#[cfg(test)]
mod tests {
    use super::*;

    fn make_point_feature(lat: f64, lon: f64, name: &str) -> Feature {
        let mut props = HashMap::new();
        props.insert("name".into(), PropertyValue::String(name.into()));
        Feature {
            geometry: Geometry::Point(Point {
                coord: GeoCoord::new(lat, lon, 0.0),
            }),
            properties: props,
        }
    }

    fn sample_features() -> FeatureCollection {
        FeatureCollection {
            features: vec![
                make_point_feature(40.7128, -74.0060, "New York"),
                make_point_feature(40.7138, -74.0070, "Near NY 1"),
                make_point_feature(40.7118, -74.0050, "Near NY 2"),
                make_point_feature(34.0522, -118.2437, "Los Angeles"),
                make_point_feature(41.8781, -87.6298, "Chicago"),
                make_point_feature(41.8791, -87.6308, "Near Chicago"),
            ],
        }
    }

    #[test]
    fn empty_input_produces_empty_output() {
        let mut cluster = PointCluster::new(ClusterOptions::default());
        cluster.load(&FeatureCollection::default());
        assert_eq!(cluster.input_count(), 0);
        let result = cluster.get_clusters_for_zoom(5);
        assert!(result.is_empty());
    }

    #[test]
    fn single_point_never_clusters() {
        let fc = FeatureCollection {
            features: vec![make_point_feature(51.5074, -0.1278, "London")],
        };
        let mut cluster = PointCluster::new(ClusterOptions::default());
        cluster.load(&fc);

        for z in 0..=20 {
            let result = cluster.get_clusters_for_zoom(z);
            assert_eq!(result.len(), 1, "zoom {z} should have 1 feature");
        }
    }

    #[test]
    fn nearby_points_cluster_at_low_zoom() {
        let fc = sample_features();
        let mut cluster = PointCluster::new(ClusterOptions {
            radius: 80.0,
            max_zoom: 14,
            min_points: 2,
            ..Default::default()
        });
        cluster.load(&fc);
        assert_eq!(cluster.input_count(), 6);

        // At very low zoom, nearby points should merge.
        let low = cluster.get_clusters_for_zoom(2);
        assert!(
            low.len() < 6,
            "at zoom 2 some points should cluster (got {} features)",
            low.len()
        );

        // At max_zoom+1, all original points returned.
        let high = cluster.get_clusters_for_zoom(20);
        assert_eq!(high.len(), 6);
    }

    #[test]
    fn cluster_features_have_expected_properties() {
        let fc = sample_features();
        let mut cluster = PointCluster::new(ClusterOptions {
            radius: 80.0,
            max_zoom: 14,
            min_points: 2,
            ..Default::default()
        });
        cluster.load(&fc);

        let result = cluster.get_clusters_for_zoom(2);
        for feature in &result.features {
            if let Some(PropertyValue::Bool(true)) = feature.properties.get("cluster") {
                // Cluster should have point_count > 1.
                let count = feature
                    .properties
                    .get("point_count")
                    .and_then(|v| v.as_f64())
                    .unwrap_or(0.0);
                assert!(count >= 2.0, "cluster point_count should be >= 2");

                // Should have cluster_id.
                assert!(
                    feature.properties.contains_key("cluster_id"),
                    "cluster should have cluster_id"
                );

                // Should have abbreviated count.
                assert!(
                    feature.properties.contains_key("point_count_abbreviated"),
                    "cluster should have point_count_abbreviated"
                );
            }
        }
    }

    #[test]
    fn cluster_expansion_zoom() {
        let fc = sample_features();
        let mut cluster = PointCluster::new(ClusterOptions {
            radius: 80.0,
            max_zoom: 14,
            min_points: 2,
            ..Default::default()
        });
        cluster.load(&fc);

        // Find a cluster at low zoom.
        let result = cluster.get_clusters_for_zoom(2);
        for feature in &result.features {
            if let Some(PropertyValue::Bool(true)) = feature.properties.get("cluster") {
                let cid = feature
                    .properties
                    .get("cluster_id")
                    .and_then(|v| v.as_f64())
                    .unwrap_or(0.0) as u32;
                let exp_zoom = cluster.get_cluster_expansion_zoom(cid);
                assert!(exp_zoom.is_some(), "expansion zoom should exist");
                let ez = exp_zoom.unwrap();
                assert!(ez > 2, "expansion zoom should be above query zoom");
            }
        }
    }

    #[test]
    fn cluster_children_and_leaves() {
        let fc = sample_features();
        let mut cluster = PointCluster::new(ClusterOptions {
            radius: 80.0,
            max_zoom: 14,
            min_points: 2,
            ..Default::default()
        });
        cluster.load(&fc);

        let result = cluster.get_clusters_for_zoom(2);
        for feature in &result.features {
            if let Some(PropertyValue::Bool(true)) = feature.properties.get("cluster") {
                let cid = feature
                    .properties
                    .get("cluster_id")
                    .and_then(|v| v.as_f64())
                    .unwrap_or(0.0) as u32;

                let children = cluster.get_cluster_children(cid);
                assert!(children.is_some(), "children should exist");
                assert!(
                    !children.unwrap().is_empty(),
                    "children should not be empty"
                );

                let leaves = cluster.get_cluster_leaves(cid, 100, 0);
                assert!(leaves.is_some(), "leaves should exist");
                assert!(!leaves.unwrap().is_empty(), "leaves should not be empty");
            }
        }
    }

    #[test]
    fn high_zoom_returns_all_originals() {
        let fc = sample_features();
        let mut cluster = PointCluster::new(ClusterOptions::default());
        cluster.load(&fc);

        let result = cluster.get_clusters_for_zoom(20);
        assert_eq!(result.len(), fc.len());
    }

    #[test]
    fn non_point_features_are_ignored() {
        let fc = FeatureCollection {
            features: vec![
                make_point_feature(40.0, -74.0, "point"),
                Feature {
                    geometry: Geometry::LineString(crate::geometry::LineString {
                        coords: vec![
                            GeoCoord::new(40.0, -74.0, 0.0),
                            GeoCoord::new(41.0, -73.0, 0.0),
                        ],
                    }),
                    properties: HashMap::new(),
                },
            ],
        };
        let mut cluster = PointCluster::new(ClusterOptions::default());
        cluster.load(&fc);
        assert_eq!(cluster.input_count(), 1);
    }

    #[test]
    fn abbreviate_count_formatting() {
        assert_eq!(abbreviate_count(1), "1");
        assert_eq!(abbreviate_count(999), "999");
        assert_eq!(abbreviate_count(1_000), "1.0k");
        assert_eq!(abbreviate_count(5_432), "5.4k");
        assert_eq!(abbreviate_count(10_000), "10k");
        assert_eq!(abbreviate_count(99_999), "100k");
        assert_eq!(abbreviate_count(1_000_000), "1.0M");
        assert_eq!(abbreviate_count(1_500_000), "1.5M");
    }

    #[test]
    fn mercator_round_trip() {
        let coords = [
            (0.0, 0.0),
            (51.5, -0.12),
            (40.71, -74.0),
            (-33.87, 151.21),
            (85.0, 180.0),
            (-85.0, -180.0),
        ];
        for (lat, lon) in coords {
            let x = lng_x(lon);
            let y = lat_y(lat);
            let lon2 = x_lng(x);
            let lat2 = y_lat(y);
            assert!(
                (lat - lat2).abs() < 0.01,
                "lat round-trip failed: {lat} -> {lat2}"
            );
            assert!(
                (lon - lon2).abs() < 0.01,
                "lon round-trip failed: {lon} -> {lon2}"
            );
        }
    }
}