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use crate::error::SpatialResult;
use crate::rtree::node::{Entry, Node, RTree};
use crate::rtree::Rectangle;
use scirs2_core::ndarray::Array1;
impl<T: Clone> RTree<T> {
/// Optimize the R-tree by rebuilding it with the current data
///
/// This can significantly improve query performance by reducing overlap
/// and creating a more balanced tree.
///
/// # Returns
///
/// A `SpatialResult` containing nothing if successful
pub fn optimize(&mut self) -> SpatialResult<()> {
// Collect all data points
let data_points = self.collect_all_data_points()?;
if data_points.is_empty() {
return Ok(());
}
// Create a new, empty R-tree
// These parameters are not used in this method but would be used
// if we were creating a new R-tree
// let _ndim = self.ndim();
// let _min_entries = self.min_entries;
// let _max_entries = self.maxentries;
// Save current size to check at the end
let size = self.size();
// Clear current tree
self.clear();
// Re-insert all data points (bulk loading would be more efficient)
for (point, data, _) in data_points {
self.insert(point, data)?;
}
// Verify integrity
assert_eq!(self.size(), size, "Size mismatch after optimization");
Ok(())
}
/// Collect all data points in the R-tree
///
/// # Returns
///
/// A `SpatialResult` containing a vector of (point, data, index) tuples
fn collect_all_data_points(&self) -> SpatialResult<Vec<(Array1<f64>, T, usize)>> {
let mut points = Vec::new();
self.collect_data_points_recursive(&self.root, &mut points)?;
Ok(points)
}
/// Recursively collect data points from a node
#[allow(clippy::only_used_in_recursion)]
fn collect_data_points_recursive(
&self,
node: &Node<T>,
points: &mut Vec<(Array1<f64>, T, usize)>,
) -> SpatialResult<()> {
for entry in &node.entries {
match entry {
Entry::Leaf { mbr, data, index } => {
// For leaf entries, the MBR should be a point (min == max)
points.push((mbr.min.clone(), data.clone(), *index));
}
Entry::NonLeaf { child, .. } => {
// For non-leaf entries, recursively collect from children
self.collect_data_points_recursive(child, points)?;
}
}
}
Ok(())
}
/// Perform bulk loading of the R-tree with sorted data points
///
/// This is more efficient than inserting points one by one.
///
/// # Arguments
///
/// * `points` - A vector of (point, data) pairs to insert
///
/// # Returns
///
/// A `SpatialResult` containing a new R-tree built from the data points
pub fn bulk_load(
ndim: usize,
min_entries: usize,
max_entries: usize,
points: Vec<(Array1<f64>, T)>,
) -> SpatialResult<Self> {
// Create a new, empty R-tree
let mut rtree = RTree::new(ndim, min_entries, max_entries)?;
if points.is_empty() {
return Ok(rtree);
}
// Implement Sort-Tile-Recursive (STR) bulk loading algorithm
// Validate all points have correct dimensions
for (i, (point, _)) in points.iter().enumerate() {
if point.len() != ndim {
return Err(crate::error::SpatialError::DimensionError(format!(
"Point at index {} has dimension {} but tree dimension is {}",
i,
point.len(),
ndim
)));
}
}
// Convert points to leaf _entries
let mut entries: Vec<Entry<T>> = points
.into_iter()
.enumerate()
.map(|(index, (point, data))| Entry::Leaf {
mbr: Rectangle::from_point(&point.view()),
data,
index,
})
.collect();
// Store the number of points for size tracking
let num_points = entries.len();
// Build the tree recursively
rtree.root = rtree.str_build_node(&mut entries, 0)?;
rtree.root._isleaf =
rtree.root.entries.is_empty() || matches!(rtree.root.entries[0], Entry::Leaf { .. });
// Update tree height
let height = rtree.calculate_height(&rtree.root);
for _ in 1..height {
rtree.increment_height();
}
// Update the tree size to reflect the number of data points loaded
for _ in 0..num_points {
rtree.increment_size();
}
Ok(rtree)
}
/// Build a node using the STR algorithm
fn str_build_node(&self, entries: &mut Vec<Entry<T>>, level: usize) -> SpatialResult<Node<T>> {
let n = entries.len();
if n == 0 {
return Ok(Node::new(level == 0, level));
}
// If we can fit all _entries in one node, create it
if n <= self.maxentries {
let mut node = Node::new(level == 0, level);
node.entries = std::mem::take(entries);
return Ok(node);
}
// Calculate the number of leaf nodes needed
let leaf_capacity = self.maxentries;
let num_leaves = n.div_ceil(leaf_capacity);
// Calculate the number of slices along each dimension
let slice_count = (num_leaves as f64).powf(1.0 / self.ndim() as f64).ceil() as usize;
// Sort _entries by the first dimension
let dim = level % self.ndim();
entries.sort_by(|a, b| {
let a_center = (a.mbr().min[dim] + a.mbr().max[dim]) / 2.0;
let b_center = (b.mbr().min[dim] + b.mbr().max[dim]) / 2.0;
a_center
.partial_cmp(&b_center)
.unwrap_or(std::cmp::Ordering::Equal)
});
// Create child nodes
let mut children = Vec::new();
let entries_per_slice = n.div_ceil(slice_count);
for i in 0..slice_count {
let start = i * entries_per_slice;
let end = ((i + 1) * entries_per_slice).min(n);
if start >= n {
break;
}
let mut slice_entries: Vec<Entry<T>> = entries[start..end].to_vec();
// Recursively build child nodes
if level == 0 {
// These are leaf entries, group them into leaf nodes
while !slice_entries.is_empty() {
let mut node = Node::new(true, 0);
let take_count = slice_entries.len().min(self.maxentries);
node.entries = slice_entries.drain(..take_count).collect();
if let Ok(Some(mbr)) = node.mbr() {
children.push(Entry::NonLeaf {
mbr,
child: Box::new(node),
});
}
}
} else {
// Build non-leaf nodes recursively
let child_node = self.str_build_node(&mut slice_entries, level - 1)?;
if let Ok(Some(mbr)) = child_node.mbr() {
children.push(Entry::NonLeaf {
mbr,
child: Box::new(child_node),
});
}
}
}
// Clear the input _entries as they've been moved to children
entries.clear();
// If we have too many children, build another level
if children.len() > self.maxentries {
self.str_build_node(&mut children, level + 1)
} else {
let mut node = Node::new(false, level + 1);
node.entries = children;
Ok(node)
}
}
/// Calculate the height of the tree
#[allow(clippy::only_used_in_recursion)]
fn calculate_height(&self, node: &Node<T>) -> usize {
if node._isleaf {
1
} else if let Some(Entry::NonLeaf { child, .. }) = node.entries.first() {
1 + self.calculate_height(child)
} else {
1
}
}
/// Calculate the total overlap in the R-tree
///
/// This is a quality metric for the tree. Lower overlap generally means
/// better query performance.
///
/// # Returns
///
/// The total overlap area between all pairs of nodes at each level
pub fn calculate_total_overlap(&self) -> SpatialResult<f64> {
let mut total_overlap = 0.0;
// Calculate overlap at each level, starting from the root
let mut current_level_nodes = vec![&self.root];
while !current_level_nodes.is_empty() {
// Calculate overlap between nodes at this level
for i in 0..current_level_nodes.len() - 1 {
let node_i_mbr = match current_level_nodes[i].mbr() {
Ok(Some(mbr)) => mbr,
_ => continue,
};
for node_j in current_level_nodes.iter().skip(i + 1) {
let node_j_mbr = match node_j.mbr() {
Ok(Some(mbr)) => mbr,
_ => continue,
};
// Check if MBRs intersect
if node_i_mbr.intersects(&node_j_mbr)? {
// Calculate intersection area
if let Ok(intersection) = node_i_mbr.intersection(&node_j_mbr) {
total_overlap += intersection.area();
}
}
}
}
// Move to the next level
let mut next_level_nodes = Vec::new();
for node in current_level_nodes {
for entry in &node.entries {
if let Entry::NonLeaf { child, .. } = entry {
next_level_nodes.push(&**child);
}
}
}
current_level_nodes = next_level_nodes;
}
Ok(total_overlap)
}
}
#[cfg(test)]
mod tests {
use super::*;
use scirs2_core::ndarray::array;
#[test]
fn test_rtree_optimize() {
// Create a new R-tree
let mut rtree: RTree<i32> = RTree::new(2, 2, 4).expect("Operation failed");
// Insert some points
let points = vec![
(array![0.0, 0.0], 0),
(array![1.0, 0.0], 1),
(array![0.0, 1.0], 2),
(array![1.0, 1.0], 3),
(array![0.5, 0.5], 4),
(array![2.0, 2.0], 5),
(array![3.0, 3.0], 6),
(array![4.0, 4.0], 7),
(array![5.0, 5.0], 8),
(array![6.0, 6.0], 9),
];
for (point, value) in points {
rtree.insert(point, value).expect("Operation failed");
}
// Optimize the tree
rtree.optimize().expect("Operation failed");
// Check that all data is still present
assert_eq!(rtree.size(), 10);
// Try to search for a point
let results = rtree
.search_range(&array![0.4, 0.4].view(), &array![0.6, 0.6].view())
.expect("Operation failed");
assert_eq!(results.len(), 1);
assert_eq!(results[0].1, 4);
}
#[test]
fn test_rtree_bulk_load() {
// Create points
let points = vec![
(array![0.0, 0.0], 0),
(array![1.0, 0.0], 1),
(array![0.0, 1.0], 2),
(array![1.0, 1.0], 3),
(array![0.5, 0.5], 4),
(array![2.0, 2.0], 5),
(array![3.0, 3.0], 6),
(array![4.0, 4.0], 7),
(array![5.0, 5.0], 8),
(array![6.0, 6.0], 9),
];
// Bulk load
let rtree = RTree::bulk_load(2, 2, 4, points).expect("Operation failed");
// Check that all data is present
assert_eq!(rtree.size(), 10);
// Try to search for a point
let results = rtree
.search_range(&array![0.4, 0.4].view(), &array![0.6, 0.6].view())
.expect("Operation failed");
assert_eq!(results.len(), 1);
assert_eq!(results[0].1, 4);
}
}