1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
// SPDX-FileCopyrightText: The im-pathtree authors
// SPDX-License-Identifier: MPL-2.0

use std::{fmt, marker::PhantomData, sync::Arc};

use im::HashMap;
use thiserror::Error;

use crate::{
    InnerNode, LeafNode, Node, NodeId, NodeValue, PathSegment, PathSegmentRef, RootPath,
    SegmentedPath as _,
};

/// Type system for [`PathTree`].
pub trait PathTreeTypes: Clone + Default + fmt::Debug {
    type InnerValue: Clone + fmt::Debug;
    type LeafValue: Clone + fmt::Debug;
    type PathSegment: PathSegment;
    type PathSegmentRef: PathSegmentRef<Self::PathSegment> + ?Sized;
    type RootPath: RootPath<Self::PathSegment, Self::PathSegmentRef>;
}

#[derive(Debug, Error)]
pub enum InsertOrUpdateNodeValueError<T>
where
    T: PathTreeTypes,
{
    #[error("invalid path")]
    InvalidPath(NodeValue<T>),
    #[error("value type mismatch")]
    ValueTypeMismatch(NodeValue<T>),
}

/// Return type of mutating tree operations.
///
/// Updating an immutable node in the tree requires to update its parent node.
#[derive(Debug, Clone)]
pub struct ParentChildTreeNode<T>
where
    T: PathTreeTypes,
{
    pub parent_node: Option<Arc<TreeNode<T>>>,
    pub child_node: Arc<TreeNode<T>>,
}

/// Return type when removing a node from the tree.
#[derive(Debug, Clone)]
pub struct RemovedSubTree<T>
where
    T: PathTreeTypes,
{
    pub parent_node: Arc<TreeNode<T>>,
    pub removed_child_node_ids: Vec<NodeId>,
}

impl<T> InsertOrUpdateNodeValueError<T>
where
    T: PathTreeTypes,
{
    pub fn into_value(self) -> NodeValue<T> {
        match self {
            Self::InvalidPath(value) | Self::ValueTypeMismatch(value) => value,
        }
    }
}

/// Cheaply clonable path tree structure.
///
/// Could be shared safely between multiple threads.
#[derive(Debug, Clone)]
pub struct PathTree<T>
where
    T: PathTreeTypes,
{
    root_node_id: NodeId,
    nodes: HashMap<NodeId, Arc<TreeNode<T>>>,
    _types: PhantomData<T>,
}

#[derive(Debug, Default)]
struct TreeNodeParentChildContext<'a, T>
where
    T: PathTreeTypes,
{
    parent_node: Option<Arc<TreeNode<T>>>,
    child_path_segment: Option<&'a T::PathSegmentRef>,
}

impl<T: PathTreeTypes> PathTree<T> {
    /// Create a new path tree with the given root node.
    #[must_use]
    pub fn new(value: NodeValue<T>) -> Self {
        let root_node_id = NodeId::new();
        let root_node = Node::from_value(value);
        let root_node = TreeNode {
            id: root_node_id,
            parent: None,
            node: root_node,
        };
        let mut nodes = HashMap::new();
        nodes.insert(root_node_id, Arc::new(root_node));
        Self {
            root_node_id,
            nodes,
            _types: PhantomData,
        }
    }

    #[must_use]
    pub fn root_node_id(&self) -> NodeId {
        self.root_node_id
    }

    #[must_use]
    pub fn root_node(&self) -> &Arc<TreeNode<T>> {
        self.lookup_node(self.root_node_id)
            .expect("root node exists")
    }

    #[must_use]
    pub fn contains_node(&self, id: NodeId) -> bool {
        self.nodes.contains_key(&id)
    }

    #[must_use]
    pub fn lookup_node(&self, id: NodeId) -> Option<&Arc<TreeNode<T>>> {
        self.nodes.get(&id)
    }

    #[must_use]
    pub fn find_node(&self, path: &T::RootPath) -> Option<&Arc<TreeNode<T>>> {
        // TODO: Use a trie data structure and Aho-Corasick algo for faster lookup?
        let root_node = self
            .lookup_node(self.root_node_id)
            .expect("root node exists");
        if path.is_root() {
            return Some(root_node);
        }
        let mut last_visited_node = root_node;
        for path_segment in path.segments() {
            match &last_visited_node.node {
                Node::Leaf(_) => {
                    // path is too long
                    return None;
                }
                Node::Inner(inner_node) => {
                    let mut found = false;
                    for child_id in &inner_node.children {
                        let child_node = self.lookup_node(*child_id).expect("child node exists");
                        if path_segment
                            .equals(&child_node.parent.as_ref().expect("has parent").path_segment)
                        {
                            last_visited_node = child_node;
                            found = true;
                            break;
                        }
                    }
                    if !found {
                        return None;
                    }
                }
            }
            debug_assert!(path_segment.equals(
                &last_visited_node
                    .parent
                    .as_ref()
                    .expect("has parent")
                    .path_segment
            ));
        }
        Some(last_visited_node)
    }

    fn create_missing_parent_nodes_recursively<'a>(
        &mut self,
        child_path: &'a T::RootPath,
        mut new_inner_value: impl FnMut() -> T::InnerValue,
    ) -> Result<TreeNodeParentChildContext<'a, T>, ()> {
        if child_path.is_root() {
            return Ok(TreeNodeParentChildContext {
                parent_node: None,
                child_path_segment: None,
            });
        }
        let root_node = Arc::clone(self.root_node());
        let mut parent_node = root_node;
        let (parent_path_segments, child_path_segment) = child_path.parent_child_segments();
        for path_segment in parent_path_segments {
            // TODO: Avoid to use an optional here
            let mut new_parent_node = None;
            match &parent_node.node {
                Node::Leaf(_) => {
                    // path is too long
                    return Err(());
                }
                Node::Inner(inner_node) => {
                    for child_id in &inner_node.children {
                        let child_node = self.lookup_node(*child_id).expect("child node exists");
                        if path_segment
                            .equals(&child_node.parent.as_ref().expect("has parent").path_segment)
                        {
                            log::debug!(
                                "Found child node {child_node:?} for path segment {path_segment:?}"
                            );
                            new_parent_node = Some(Arc::clone(child_node));
                            break;
                        }
                    }
                    if new_parent_node.is_none() {
                        // Add new, empty inner node
                        let parent_node_id = parent_node.id;
                        let child_node_id = NodeId::new();
                        debug_assert_ne!(parent_node_id, child_node_id);
                        let child_node = TreeNode {
                            id: child_node_id,
                            parent: Some(TreeNodeParent {
                                id: parent_node_id,
                                path_segment: path_segment.to_owned(),
                            }),
                            node: Node::Inner(InnerNode::new(new_inner_value())),
                        };
                        log::debug!("Inserting new child node {child_node:?} for path segment {path_segment:?}");
                        let child_node = Arc::new(child_node);
                        new_parent_node = Some(Arc::clone(&child_node));
                        let old_child_node = self.nodes.insert(child_node.id, child_node);
                        debug_assert!(old_child_node.is_none());
                        let mut inner_node = inner_node.clone();
                        inner_node.children.push(child_node_id);
                        // Replace the parent node with the modified one
                        let parent_node = TreeNode {
                            node: inner_node.into(),
                            ..(*parent_node).clone()
                        };
                        let old_parent_node =
                            self.nodes.insert(parent_node_id, Arc::new(parent_node));
                        debug_assert!(old_parent_node.is_some());
                        log::debug!(
                            "Updated parent node {old_parent_node:?} to {new_parent_node:?}",
                            new_parent_node = self.lookup_node(parent_node_id)
                        );
                    }
                }
            }
            parent_node = new_parent_node.expect("new parent node has been assigned");
            debug_assert!(path_segment.equals(
                &parent_node
                    .parent
                    .as_ref()
                    .expect("has parent")
                    .path_segment
            ));
        }
        let parent_node = match parent_node.node {
            Node::Inner(_) => Some(parent_node),
            Node::Leaf(_) => None,
        };
        Ok(TreeNodeParentChildContext {
            parent_node,
            child_path_segment,
        })
    }

    /// Insert or update a node in the tree.
    ///
    /// All missing parent nodes are created recursively and initialized
    /// with the inner default value.
    ///
    /// Returns the parent node and the inserted/updated child node. Both require updating
    /// the parent node as well.
    ///
    /// In case of an error, the new value is returned back to the caller.
    pub fn insert_or_update_node_value(
        &mut self,
        path: &T::RootPath,
        new_value: NodeValue<T>,
        new_inner_value: impl FnMut() -> T::InnerValue,
    ) -> Result<ParentChildTreeNode<T>, InsertOrUpdateNodeValueError<T>> {
        let Ok(TreeNodeParentChildContext { parent_node, child_path_segment}) = self.create_missing_parent_nodes_recursively(path, new_inner_value) else {
            return Err(InsertOrUpdateNodeValueError::InvalidPath(new_value));
        };
        let Some(parent_node) = parent_node else {
            // Update the root node
            let new_root_node = self.root_node().try_clone_with_new_value(new_value).map_err(InsertOrUpdateNodeValueError::ValueTypeMismatch)?;
            let new_root_node = Arc::new(new_root_node);
            let old_root_node = self.nodes.insert(new_root_node.id, Arc::clone(&new_root_node));
            log::debug!(
                "Updated root node {old_root_node:?} to {new_root_node:?}",
                old_root_node = old_root_node.as_deref(),
                new_root_node = *new_root_node,
            );
            return Ok(ParentChildTreeNode {
                parent_node: None,
                child_node: new_root_node,
            });
        };
        debug_assert!(matches!(parent_node.node, Node::Inner(_)));
        let Node::Inner(inner_node) = &parent_node.node else {
            unreachable!();
        };
        // Wrap into an option as a workaround for the limitations of the borrow checker.
        // The value is consumed at most once in every code path.
        let mut new_value = Some(new_value);
        let path_segment = child_path_segment.expect("should never be empty");
        let mut child_node_to_update = None;
        for (child_index, child_node_id) in inner_node.children().enumerate() {
            let child_node = self.lookup_node(child_node_id).expect("child node exists");
            if path_segment.equals(&child_node.parent.as_ref().expect("has parent").path_segment) {
                let new_value = new_value.take().expect("not consumed yet");
                let new_child_node = child_node
                    .try_clone_with_new_value(new_value)
                    .map_err(InsertOrUpdateNodeValueError::ValueTypeMismatch)?;
                child_node_to_update = Some((child_index, new_child_node));
                break;
            }
        }
        let (child_index, child_node) = if let Some(child_node_to_update) = child_node_to_update {
            log::debug!("Updating value of existing node: {path:?}");
            child_node_to_update
        } else {
            log::debug!("Adding new node: {path:?}");
            let value = new_value.take().expect("not consumed yet");
            let child_node_id = NodeId::new();
            let child_node = TreeNode {
                id: child_node_id,
                parent: Some(TreeNodeParent {
                    id: parent_node.id,
                    path_segment: path_segment.to_owned(),
                }),
                node: Node::from_value(value),
            };
            debug_assert!(!self.contains_node(child_node_id));
            (inner_node.children.len(), child_node)
        };
        let child_node_id = child_node.id;
        let new_child_node = Arc::new(child_node);
        let old_child_node = self
            .nodes
            .insert(child_node_id, Arc::clone(&new_child_node));
        log::debug!(
            "Updated child node {old_child_node:?} to {new_child_node:?}",
            old_child_node = old_child_node.as_deref(),
            new_child_node = *new_child_node,
        );
        let mut inner_node = inner_node.clone();
        inner_node.children.insert(child_index, child_node_id);
        let parent_node = TreeNode {
            node: Node::Inner(inner_node),
            ..(*parent_node).clone()
        };
        let parent_node_id = parent_node.id;
        let new_parent_node = Arc::new(parent_node);
        let old_parent_node = self
            .nodes
            .insert(parent_node_id, Arc::clone(&new_parent_node));
        debug_assert!(old_parent_node.is_some());
        log::debug!(
            "Updated parent node {old_parent_node:?} to {new_parent_node:?}",
            old_parent_node = old_parent_node.as_deref(),
            new_parent_node = *new_parent_node,
        );
        Ok(ParentChildTreeNode {
            parent_node: Some(new_parent_node),
            child_node: new_child_node,
        })
    }

    /// Remove a node from the tree.
    ///
    /// Removes the entire subtree rooted at the given node.
    ///
    /// The root node cannot be removed.
    ///
    /// Returns the ID of the parent node and the IDs of the removed nodes.
    pub fn remove_sub_tree(&mut self, node_id: NodeId) -> Option<RemovedSubTree<T>> {
        let (parent_node, child_node) = {
            let child_node = self.lookup_node(node_id)?;
            let parent_node = child_node
                .parent
                .as_ref()
                .and_then(|parent| self.lookup_node(parent.id))?;
            debug_assert!(matches!(parent_node.node, Node::Inner(_)));
            let Node::Inner(inner_node) = &parent_node.node else {
                unreachable!();
            };
            let mut inner_node = inner_node.clone();
            inner_node
                .children
                .retain(|child_node_id| *child_node_id != node_id);
            let parent_node = TreeNode {
                node: Node::Inner(inner_node),
                ..(**parent_node).clone()
            };
            (parent_node, Arc::clone(child_node))
        };
        let parent_node_id = parent_node.id;
        let new_parent_node = Arc::new(parent_node);
        let old_parent_node = self
            .nodes
            .insert(parent_node_id, Arc::clone(&new_parent_node));
        debug_assert!(old_parent_node.is_some());
        log::debug!(
            "Updated parent node {old_parent_node:?} to {new_parent_node:?}",
            new_parent_node = self.lookup_node(parent_node_id)
        );
        let removed_child_node_ids = std::iter::once(child_node.id)
            .chain(child_node.node.children_recursively(self))
            .collect::<Vec<_>>();
        let num_nodes_before = self.number_of_nodes();
        for node_id in &removed_child_node_ids {
            self.nodes.remove(node_id);
        }
        let num_nodes_after = self.number_of_nodes();
        debug_assert!(num_nodes_before >= num_nodes_after);
        let number_of_nodes_removed = num_nodes_before - num_nodes_after;
        debug_assert_eq!(number_of_nodes_removed, removed_child_node_ids.len());
        debug_assert!(number_of_nodes_removed > 0);
        Some(RemovedSubTree {
            parent_node: new_parent_node,
            removed_child_node_ids,
        })
    }

    #[must_use]
    pub fn number_of_nodes(&self) -> usize {
        let num_nodes = self.nodes.len();
        // Verify invariant
        debug_assert_eq!(num_nodes, self.count_nodes_recursively());
        num_nodes
    }

    #[must_use]
    fn count_nodes_recursively(&self) -> usize {
        1 + self.root_node().node.count_children_recursively(self)
    }

    #[must_use]
    pub fn count_child_nodes_recursively(&self, parent_node_id: NodeId) -> Option<usize> {
        self.lookup_node(parent_node_id)
            .map(|tree_node| tree_node.node.count_children_recursively(self))
    }
}

/// Link of non-root node in the tree.
#[derive(Debug, Clone)]
pub struct TreeNodeParent<T: PathTreeTypes> {
    /// The id of the parent node.
    pub id: NodeId,

    /// Path segment for addressing the child from the parent.
    pub path_segment: <T as PathTreeTypes>::PathSegment,
}

/// Immutable node in the tree.
#[derive(Debug, Clone)]
pub struct TreeNode<T: PathTreeTypes> {
    /// Identifier for direct lookup.
    pub id: NodeId,

    /// Link to the parent node.
    ///
    /// Must be `None` for the root node and `Some` for all other nodes.
    pub parent: Option<TreeNodeParent<T>>,

    /// The actual content of this node.
    pub node: Node<T>,
}

impl<T: PathTreeTypes> TreeNode<T> {
    /// Clone the node with a new value.
    ///
    /// Fails if the type of the new value doesn't match the value type
    /// of the node.
    fn try_clone_with_new_value(&self, new_value: NodeValue<T>) -> Result<Self, NodeValue<T>>
    where
        T: PathTreeTypes,
    {
        let new_tree_node = match &self.node {
            Node::Leaf(LeafNode { .. }) => match new_value {
                NodeValue::Leaf(value) => Self {
                    id: self.id,
                    parent: self.parent.clone(),
                    node: Node::Leaf(LeafNode { value }),
                },
                new_value @ NodeValue::Inner(..) => {
                    return Err(new_value);
                }
            },
            Node::Inner(InnerNode { children, .. }) => match new_value {
                NodeValue::Inner(value) => {
                    let children = children.clone();
                    TreeNode {
                        id: self.id,
                        parent: self.parent.clone(),
                        node: Node::Inner(InnerNode { children, value }),
                    }
                }
                new_value @ NodeValue::Leaf(..) => {
                    return Err(new_value);
                }
            },
        };
        Ok(new_tree_node)
    }
}