gotgraph 0.2.0

A type-safe, scope-aware graph library that leverages Rust's type system to prevent common graph-related bugs at compile time
Documentation
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
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
use crate::graph::{Graph, GraphRemove, GraphRemoveEdge, GraphUpdate};
use crate::Mapping;
/// Node index type for `VecGraph`.
///
/// This is a newtype wrapper around `u32` that provides type safety
/// by preventing confusion between node and edge indices.
///
/// # Examples
///
/// ```rust
/// use gotgraph::prelude::*;
///
/// let mut graph: VecGraph<i32, ()> = VecGraph::default();
/// graph.scope_mut(|mut ctx| {
///     let node_idx = ctx.add_node(42);
///     // node_idx has type NodeTag<'_, NodeIx>
///     // node_idx.inner() has type NodeIx
/// });
/// ```
#[derive(Copy, Clone, PartialEq, Eq, PartialOrd, Ord, Hash, Debug)]
pub struct NodeIx(u32);

/// Edge index type for `VecGraph`.
///
/// This is a newtype wrapper around `u32` that provides type safety
/// by preventing confusion between node and edge indices.
#[derive(Copy, Clone, PartialEq, Eq, PartialOrd, Ord, Hash, Debug)]
pub struct EdgeIx(u32);

impl NodeIx {
    fn end() -> Self {
        NodeIx(u32::MAX)
    }

    fn is_end(self) -> bool {
        self.0 as i32 as i64 as u64 == u64::MAX
    }
}

impl EdgeIx {
    fn end() -> Self {
        EdgeIx(u32::MAX)
    }

    fn is_end(self) -> bool {
        self.0 as i32 as i64 as u64 == u64::MAX
    }
}

#[derive(Clone, Debug)]
struct NodeRepr<N> {
    data: N,
    // next outgoing / incoming edge
    next: [EdgeIx; 2],
}

#[derive(Clone, Debug)]
struct EdgeRepr<E> {
    data: E,
    // next outgoing / incoming edge
    next: [EdgeIx; 2],
    // start and end node
    node: [NodeIx; 2],
}

/// A vector-based graph implementation.
///
/// `VecGraph` stores nodes and edges in `Vec` containers, making it efficient
/// for dense graphs and applications that frequently add or remove elements.
/// It implements all the graph traits and supports the full scoped API.
///
/// # Type Parameters
///
/// - `N`: The type of data stored in nodes
/// - `E`: The type of data stored in edges
///
/// # Memory Layout
///
/// Internally, `VecGraph` uses linked lists embedded within vectors to maintain
/// efficient adjacency information. Each node maintains pointers to its first
/// outgoing and incoming edges, and edges maintain pointers to the next edge
/// in the chain.
///
/// # Performance Characteristics
///
/// - **Node/Edge Addition**: O(1) amortized
/// - **Node/Edge Removal**: O(degree) where degree is the number of edges connected to the node
/// - **Edge Traversal**: O(degree)
/// - **Memory Usage**: Efficient for dense graphs, some overhead for sparse graphs
///
/// # Examples
///
/// ```rust
/// use gotgraph::prelude::*;
///
/// // Create a new empty graph
/// let mut graph: VecGraph<&str, i32> = VecGraph::default();
///
/// // Add nodes and edges
/// graph.scope_mut(|mut ctx| {
///     let alice = ctx.add_node("Alice");
///     let bob = ctx.add_node("Bob");
///     let friendship = ctx.add_edge(10, alice, bob); // strength = 10
///     
///     // Query the graph within the same scope
///     println!("Alice: {}", ctx.node(alice));
///     println!("Bob: {}", ctx.node(bob));
///     println!("Friendship strength: {}", ctx.edge(friendship));
/// });
/// ```
#[derive(Clone, Debug)]
pub struct VecGraph<N, E> {
    nodes: Vec<NodeRepr<N>>,
    edges: Vec<EdgeRepr<E>>,
}

impl<N, E> Default for VecGraph<N, E> {
    fn default() -> Self {
        Self {
            nodes: Vec::new(),
            edges: Vec::new(),
        }
    }
}

impl<N, E> crate::graph::Graph for VecGraph<N, E> {
    type NodeIx = NodeIx;
    type EdgeIx = EdgeIx;
    type Node = N;
    type Edge = E;

    fn exists_node_index(&self, NodeIx(ix): Self::NodeIx) -> bool {
        (ix as usize) < self.nodes.len()
    }

    fn exists_edge_index(&self, EdgeIx(ix): Self::EdgeIx) -> bool {
        (ix as usize) < self.edges.len()
    }

    unsafe fn node_unchecked(&self, NodeIx(ix): Self::NodeIx) -> &Self::Node {
        debug_assert!((ix as usize) < self.nodes.len());
        &self.nodes.get_unchecked(ix as usize).data
    }

    unsafe fn edge_unchecked(&self, EdgeIx(ix): Self::EdgeIx) -> &Self::Edge {
        debug_assert!((ix as usize) < self.edges.len());
        &self.edges.get_unchecked(ix as usize).data
    }

    fn node_indices(&self) -> impl Iterator<Item = Self::NodeIx> {
        (0..self.nodes.len()).map(|i| NodeIx(i as u32))
    }

    fn edge_indices(&self) -> impl Iterator<Item = Self::EdgeIx> {
        (0..self.edges.len()).map(|i| EdgeIx(i as u32))
    }

    unsafe fn outgoing_edge_indices_unchecked(
        &self,
        node: Self::NodeIx,
    ) -> impl Iterator<Item = Self::EdgeIx> {
        impl_get_edges::<false, N, E>(self, node)
    }

    unsafe fn incoming_edge_indices_unchecked(
        &self,
        node: Self::NodeIx,
    ) -> impl Iterator<Item = Self::EdgeIx> {
        impl_get_edges::<true, N, E>(self, node)
    }

    unsafe fn endpoints_unchecked(&self, EdgeIx(edge): Self::EdgeIx) -> [Self::NodeIx; 2] {
        debug_assert!((edge as usize) < self.edges.len());
        let edge_repr = self.edges.get_unchecked(edge as usize);
        edge_repr.node
    }

    unsafe fn outgoing_edge_pairs_unchecked(
        &self,
        node: Self::NodeIx,
    ) -> impl Iterator<Item = (Self::EdgeIx, &Self::Edge)> {
        impl_get_edges::<false, N, E>(self, node)
            .map(move |edge_ix| (edge_ix, unsafe { self.edge_unchecked(edge_ix) }))
    }

    unsafe fn incoming_edge_pairs_unchecked(
        &self,
        node: Self::NodeIx,
    ) -> impl Iterator<Item = (Self::EdgeIx, &Self::Edge)> {
        impl_get_edges::<true, N, E>(self, node)
            .map(move |edge_ix| (edge_ix, unsafe { self.edge_unchecked(edge_ix) }))
    }

    unsafe fn node_unchecked_mut(&mut self, NodeIx(ix): Self::NodeIx) -> &mut Self::Node {
        debug_assert!((ix as usize) < self.nodes.len());
        &mut self.nodes.get_unchecked_mut(ix as usize).data
    }

    unsafe fn edge_unchecked_mut(&mut self, EdgeIx(ix): Self::EdgeIx) -> &mut Self::Edge {
        debug_assert!((ix as usize) < self.edges.len());
        &mut self.edges.get_unchecked_mut(ix as usize).data
    }

    unsafe fn outgoing_edge_pairs_unchecked_mut(
        &mut self,
        node: Self::NodeIx,
    ) -> impl Iterator<Item = (Self::EdgeIx, &mut Self::Edge)>
    where
        Self: Sized,
    {
        struct OutgoingEdgePairsMutIterUnchecked<'a, N, E> {
            graph: &'a mut VecGraph<N, E>,
            indices: std::vec::IntoIter<EdgeIx>,
        }

        impl<'a, N, E> Iterator for OutgoingEdgePairsMutIterUnchecked<'a, N, E> {
            type Item = (EdgeIx, &'a mut E);

            fn next(&mut self) -> Option<Self::Item> {
                self.indices.next().map(|ix| unsafe {
                    let ptr = self.graph.edge_unchecked_mut(ix) as *mut E;
                    (ix, &mut *ptr)
                })
            }
        }

        let indices: Vec<_> = unsafe { impl_get_edges::<false, N, E>(self, node) }.collect();
        OutgoingEdgePairsMutIterUnchecked {
            graph: self,
            indices: indices.into_iter(),
        }
    }

    unsafe fn incoming_edge_pairs_unchecked_mut(
        &mut self,
        node: Self::NodeIx,
    ) -> impl Iterator<Item = (Self::EdgeIx, &mut Self::Edge)>
    where
        Self: Sized,
    {
        struct IncomingEdgePairsMutIterUnchecked<'a, N, E> {
            graph: &'a mut VecGraph<N, E>,
            indices: std::vec::IntoIter<EdgeIx>,
        }

        impl<'a, N, E> Iterator for IncomingEdgePairsMutIterUnchecked<'a, N, E> {
            type Item = (EdgeIx, &'a mut E);

            fn next(&mut self) -> Option<Self::Item> {
                self.indices.next().map(|ix| unsafe {
                    let ptr = self.graph.edge_unchecked_mut(ix) as *mut E;
                    (ix, &mut *ptr)
                })
            }
        }

        let indices: Vec<_> = unsafe { impl_get_edges::<true, N, E>(self, node) }.collect();
        IncomingEdgePairsMutIterUnchecked {
            graph: self,
            indices: indices.into_iter(),
        }
    }

    unsafe fn connecting_edge_pairs_unchecked_mut(
        &mut self,
        node: Self::NodeIx,
    ) -> impl Iterator<Item = (Self::EdgeIx, &mut Self::Edge)>
    where
        Self: Sized,
    {
        struct ConnectingEdgePairsMutIterUnchecked<'a, N, E> {
            graph: &'a mut VecGraph<N, E>,
            indices: std::vec::IntoIter<EdgeIx>,
        }

        impl<'a, N, E> Iterator for ConnectingEdgePairsMutIterUnchecked<'a, N, E> {
            type Item = (EdgeIx, &'a mut E);

            fn next(&mut self) -> Option<Self::Item> {
                self.indices.next().map(|ix| unsafe {
                    let ptr = self.graph.edge_unchecked_mut(ix) as *mut E;
                    (ix, &mut *ptr)
                })
            }
        }

        let outgoing_indices: Vec<_> =
            unsafe { impl_get_edges::<false, N, E>(self, node) }.collect();
        let incoming_indices: Vec<_> =
            unsafe { impl_get_edges::<true, N, E>(self, node) }.collect();
        let indices: Vec<_> = outgoing_indices
            .into_iter()
            .chain(incoming_indices)
            .collect();
        ConnectingEdgePairsMutIterUnchecked {
            graph: self,
            indices: indices.into_iter(),
        }
    }

    fn init_node_map<V>(
        &self,
        mut f: impl FnMut(Self::NodeIx, &Self::Node) -> V,
    ) -> impl Mapping<Self::NodeIx, V> {
        #[derive(Debug)]
        #[allow(dead_code)]
        pub struct VecNodeMap<'graph, V> {
            _graph: crate::Invariant<'graph>,
            data: Vec<V>,
        }

        impl<'graph, V> std::ops::Index<NodeIx> for VecNodeMap<'graph, V> {
            type Output = V;

            fn index(&self, NodeIx(ix): NodeIx) -> &Self::Output {
                &self.data[ix as usize]
            }
        }

        impl<'graph, V> std::ops::IndexMut<NodeIx> for VecNodeMap<'graph, V> {
            fn index_mut(&mut self, NodeIx(ix): NodeIx) -> &mut Self::Output {
                &mut self.data[ix as usize]
            }
        }

        impl<'graph, V> IntoIterator for VecNodeMap<'graph, V> {
            type Item = V;
            type IntoIter = std::vec::IntoIter<V>;

            fn into_iter(self) -> Self::IntoIter {
                self.data.into_iter()
            }
        }

        impl<'graph, V> Mapping<NodeIx, V> for VecNodeMap<'graph, V> {
            fn map<VV>(self, f: impl FnMut(V) -> VV) -> impl Mapping<NodeIx, VV> {
                VecNodeMap {
                    _graph: self._graph,
                    data: self.data.into_iter().map(f).collect(),
                }
            }

            fn iter<'a>(&'a self) -> impl Iterator<Item = &'a V>
            where
                V: 'a,
            {
                self.data.iter()
            }

            fn iter_mut<'a>(&'a mut self) -> impl Iterator<Item = &'a mut V>
            where
                V: 'a,
            {
                self.data.iter_mut()
            }

            unsafe fn get_unchecked(&self, NodeIx(ix): NodeIx) -> &V {
                self.data.get_unchecked(ix as usize)
            }

            unsafe fn get_unchecked_mut(&mut self, NodeIx(ix): NodeIx) -> &mut V {
                self.data.get_unchecked_mut(ix as usize)
            }
        }

        use core::marker::PhantomData;
        let data = self
            .nodes
            .iter()
            .enumerate()
            .map(|(i, node)| f(NodeIx(i as u32), &node.data))
            .collect();
        VecNodeMap {
            _graph: PhantomData,
            data,
        }
    }

    fn init_edge_map<V>(
        &self,
        mut f: impl FnMut(Self::EdgeIx, &Self::Edge) -> V,
    ) -> impl Mapping<Self::EdgeIx, V> {
        #[derive(Debug)]
        #[allow(dead_code)]
        pub struct VecEdgeMap<'graph, V> {
            _graph: crate::Invariant<'graph>,
            data: Vec<V>,
        }

        impl<'graph, V> std::ops::Index<EdgeIx> for VecEdgeMap<'graph, V> {
            type Output = V;

            fn index(&self, EdgeIx(ix): EdgeIx) -> &Self::Output {
                &self.data[ix as usize]
            }
        }

        impl<'graph, V> std::ops::IndexMut<EdgeIx> for VecEdgeMap<'graph, V> {
            fn index_mut(&mut self, EdgeIx(ix): EdgeIx) -> &mut Self::Output {
                &mut self.data[ix as usize]
            }
        }

        impl<'graph, V> IntoIterator for VecEdgeMap<'graph, V> {
            type Item = V;
            type IntoIter = std::vec::IntoIter<V>;

            fn into_iter(self) -> Self::IntoIter {
                self.data.into_iter()
            }
        }

        impl<'graph, V> Mapping<EdgeIx, V> for VecEdgeMap<'graph, V> {
            fn map<VV>(self, f: impl FnMut(V) -> VV) -> impl Mapping<EdgeIx, VV> {
                VecEdgeMap {
                    _graph: self._graph,
                    data: self.data.into_iter().map(f).collect(),
                }
            }

            fn iter<'a>(&'a self) -> impl Iterator<Item = &'a V>
            where
                V: 'a,
            {
                self.data.iter()
            }

            fn iter_mut<'a>(&'a mut self) -> impl Iterator<Item = &'a mut V>
            where
                V: 'a,
            {
                self.data.iter_mut()
            }

            unsafe fn get_unchecked(&self, EdgeIx(ix): EdgeIx) -> &V {
                self.data.get_unchecked(ix as usize)
            }

            unsafe fn get_unchecked_mut(&mut self, EdgeIx(ix): EdgeIx) -> &mut V {
                self.data.get_unchecked_mut(ix as usize)
            }
        }

        use core::marker::PhantomData;
        let data = self
            .edges
            .iter()
            .enumerate()
            .map(|(i, edge)| f(EdgeIx(i as u32), &edge.data))
            .collect();
        VecEdgeMap {
            _graph: PhantomData,
            data,
        }
    }

    unsafe fn reverse_edge_unchecked(&mut self, EdgeIx(edge_ix): Self::EdgeIx, new_from: Self::NodeIx, new_to: Self::NodeIx)
    where
        Self: Sized,
    {
        debug_assert!((edge_ix as usize) < self.edges.len());
        self.edges.get_unchecked_mut(edge_ix as usize).node = [new_from, new_to];
    }
}

impl<N, E> GraphUpdate for VecGraph<N, E> {
    fn add_node(&mut self, node: Self::Node) -> Self::NodeIx {
        if self.nodes.len() == u32::MAX as usize {
            panic!(
                "Cannot add more nodes: maximum capacity ({}) reached",
                u32::MAX
            );
        }
        let ix = NodeIx(self.nodes.len() as u32);
        debug_assert!(!ix.is_end());
        self.nodes.push(NodeRepr {
            data: node,
            next: [EdgeIx::end(), EdgeIx::end()],
        });
        ix
    }

    fn add_edge(&mut self, edge: Self::Edge, from: Self::NodeIx, to: Self::NodeIx) -> Self::EdgeIx {
        assert!(
            self.exists_node_index(from),
            "Node index {:?} does not exist",
            from
        );
        assert!(
            self.exists_node_index(to),
            "Node index {:?} does not exist",
            to
        );
        unsafe { self.add_edge_unchecked(edge, from, to) }
    }

    unsafe fn add_edge_unchecked(
        &mut self,
        edge: Self::Edge,
        n_from: Self::NodeIx,
        n_to: Self::NodeIx,
    ) -> Self::EdgeIx {
        if self.edges.len() == u32::MAX as usize {
            panic!(
                "Cannot add more edges: maximum capacity ({}) reached",
                u32::MAX
            );
        }
        let ix = EdgeIx(self.edges.len() as u32);
        debug_assert!(!ix.is_end());
        let next = match (n_from.0 as usize).cmp(&(n_to.0 as usize)) {
            core::cmp::Ordering::Equal => {
                debug_assert!((n_from.0 as usize) < self.nodes.len());
                let n = self.nodes.get_unchecked_mut(n_from.0 as usize);
                core::mem::replace(&mut n.next, [ix, ix])
            }
            o => {
                let (v_from, v_to) = if o == core::cmp::Ordering::Greater {
                    debug_assert!((n_from.0 as usize) < self.nodes.len());
                    debug_assert!((n_to.0 as usize) < (n_from.0 as usize));
                    let (ns1, ns2) = self.nodes.split_at_mut_unchecked(n_from.0 as usize);
                    (
                        ns2.get_unchecked_mut(0),
                        ns1.get_unchecked_mut(n_to.0 as usize),
                    )
                } else {
                    debug_assert!((n_to.0 as usize) < self.nodes.len());
                    debug_assert!((n_from.0 as usize) < (n_to.0 as usize));
                    let (ns1, ns2) = self.nodes.split_at_mut_unchecked(n_to.0 as usize);
                    (
                        ns1.get_unchecked_mut(n_from.0 as usize),
                        ns2.get_unchecked_mut(0),
                    )
                };
                [
                    core::mem::replace(&mut v_from.next[0], ix),
                    core::mem::replace(&mut v_to.next[1], ix),
                ]
            }
        };
        self.edges.push(EdgeRepr {
            data: edge,
            node: [n_from, n_to],
            next,
        });
        ix
    }
}

impl<N, E> GraphRemoveEdge for VecGraph<N, E> {
    unsafe fn remove_edge_unchecked(&mut self, EdgeIx(ix): Self::EdgeIx) -> Self::Edge {
        let ix = ix as usize;
        debug_assert!(ix < self.edges.len());
        let edge_repr = unsafe { self.edges.get_unchecked(ix) };
        let [from_node, to_node] = edge_repr.node;
        let [next_out, next_in] = edge_repr.next;

        // Remove from outgoing edge list of from_node
        debug_assert!((from_node.0 as usize) < self.nodes.len());
        if unsafe { self.nodes.get_unchecked(from_node.0 as usize).next[0] } == EdgeIx(ix as u32) {
            unsafe { self.nodes.get_unchecked_mut(from_node.0 as usize).next[0] = next_out };
        } else {
            let mut current = unsafe { self.nodes.get_unchecked(from_node.0 as usize).next[0] };
            while !current.is_end() {
                debug_assert!((current.0 as usize) < self.edges.len());
                let current_edge = unsafe { self.edges.get_unchecked_mut(current.0 as usize) };
                if current_edge.next[0] == EdgeIx(ix as u32) {
                    current_edge.next[0] = next_out;
                    break;
                }
                current = current_edge.next[0];
            }
        }

        // Remove from incoming edge list of to_node
        debug_assert!((to_node.0 as usize) < self.nodes.len());
        if unsafe { self.nodes.get_unchecked(to_node.0 as usize).next[1] } == EdgeIx(ix as u32) {
            unsafe { self.nodes.get_unchecked_mut(to_node.0 as usize).next[1] = next_in };
        } else {
            let mut current = unsafe { self.nodes.get_unchecked(to_node.0 as usize).next[1] };
            while !current.is_end() {
                debug_assert!((current.0 as usize) < self.edges.len());
                let current_edge = unsafe { self.edges.get_unchecked_mut(current.0 as usize) };
                if current_edge.next[1] == EdgeIx(ix as u32) {
                    current_edge.next[1] = next_in;
                    break;
                }
                current = current_edge.next[1];
            }
        }

        let edge_data = self.edges.swap_remove(ix).data;

        // Update edge indices after swap_remove
        if ix < self.edges.len() {
            let moved_edge_ix = EdgeIx(self.edges.len() as u32);

            // Update in node adjacency lists
            for node in &mut self.nodes {
                for next_edge in &mut node.next {
                    if *next_edge == moved_edge_ix {
                        *next_edge = EdgeIx(ix as u32);
                    }
                }
            }

            // Update in edge next pointers
            for edge in &mut self.edges {
                for next_edge in &mut edge.next {
                    if *next_edge == moved_edge_ix {
                        *next_edge = EdgeIx(ix as u32);
                    }
                }
            }
        }

        edge_data
    }
}

impl<N, E> GraphRemove for VecGraph<N, E> {
    unsafe fn remove_nodes_edges_unchecked<CN, CE>(
        &mut self,
        del_nodes: impl IntoIterator<Item = Self::NodeIx>,
        del_edges: impl IntoIterator<Item = Self::EdgeIx>,
    ) -> (CN, CE)
    where
        CN: Default + Extend<Self::Node>,
        CE: Default + Extend<Self::Edge>,
        Self: Sized,
    {
        use core::mem::MaybeUninit;
        let (mut cn, mut ce): (CN, CE) = Default::default();
        let mut del_ord_edge = (0..self.edges.len())
            .map(|i| (false, i))
            .collect::<Vec<_>>();
        let edges = core::mem::transmute::<&mut Vec<EdgeRepr<E>>, &mut Vec<MaybeUninit<EdgeRepr<E>>>>(
            &mut self.edges,
        );
        for EdgeIx(del_edge) in del_edges {
            let del_edge = del_edge as usize;
            debug_assert!(del_edge < del_ord_edge.len());
            let flag = unsafe { del_ord_edge.get_unchecked_mut(del_edge) };
            if !flag.0 {
                debug_assert!(del_edge < edges.len());
                ce.extend(core::iter::once(unsafe {
                    edges.get_unchecked(del_edge).assume_init_read().data
                }));
                flag.0 = true;
            }
        }
        let mut del_ord_node = (0..self.nodes.len())
            .map(|i| (false, i))
            .collect::<Vec<_>>();
        let nodes = core::mem::transmute::<&mut Vec<NodeRepr<N>>, &mut Vec<MaybeUninit<NodeRepr<N>>>>(
            &mut self.nodes,
        );
        for NodeIx(del_node) in del_nodes {
            let del_node = del_node as usize;
            debug_assert!(del_node < del_ord_node.len());
            let flag = unsafe { del_ord_node.get_unchecked_mut(del_node) };
            debug_assert!(del_node < nodes.len());
            let node = unsafe { nodes.get_unchecked(del_node).assume_init_read() };
            if !flag.0 {
                cn.extend(core::iter::once(node.data));
                flag.0 = true;
            }
            for EdgeIx(edge) in
                unsafe { impl_get_edges::<false, N, E>(self, NodeIx(del_node as u32)) }
                    .chain(unsafe { impl_get_edges::<true, N, E>(self, NodeIx(del_node as u32)) })
            {
                let edge = edge as usize;
                debug_assert!(edge < del_ord_edge.len());
                let flag = unsafe { del_ord_edge.get_unchecked_mut(edge) };
                if !flag.0 {
                    debug_assert!(edge < edges.len());
                    ce.extend(core::iter::once(unsafe {
                        edges.get_unchecked(edge).assume_init_read().data
                    }));
                    flag.0 = true;
                }
            }
        }
        let alive_edges = swap_remove(&mut del_ord_edge, |i, j| self.edges.swap(i, j));
        debug_assert!(alive_edges <= self.edges.len());
        unsafe { self.edges.set_len(alive_edges) };
        for edge in &mut self.edges {
            for edge_ix in &mut edge.next {
                if !(*edge_ix).is_end() {
                    debug_assert!((edge_ix.0 as usize) < del_ord_edge.len());
                    *edge_ix =
                        EdgeIx(unsafe { del_ord_edge.get_unchecked(edge_ix.0 as usize).1 as u32 });
                }
            }
        }
        for node in &mut self.nodes {
            for edge_ix in &mut node.next {
                if !(*edge_ix).is_end() {
                    debug_assert!((edge_ix.0 as usize) < del_ord_edge.len());
                    *edge_ix =
                        EdgeIx(unsafe { del_ord_edge.get_unchecked(edge_ix.0 as usize).1 as u32 });
                }
            }
        }

        let alive_nodes = swap_remove(&mut del_ord_node, |i, j| self.nodes.swap(i, j));
        unsafe { self.nodes.set_len(alive_nodes) };
        for edge in &mut self.edges {
            edge.node.iter_mut().for_each(|NodeIx(ix)| {
                debug_assert!((*ix as usize) < del_ord_node.len());
                *ix = unsafe { del_ord_node.get_unchecked(*ix as usize).1 as u32 };
            });
        }

        (cn, ce)
    }

    unsafe fn remove_node_unchecked(&mut self, node_ix: Self::NodeIx) -> Self::Node {
        // Collect all outgoing edges first
        let outgoing_edges: Vec<_> = self.outgoing_edge_indices_unchecked(node_ix).collect();
        for edge_ix in outgoing_edges {
            self.remove_edge_unchecked(edge_ix);
        }

        // Collect all incoming edges
        let incoming_edges: Vec<_> = self.incoming_edge_indices_unchecked(node_ix).collect();
        for edge_ix in incoming_edges {
            self.remove_edge_unchecked(edge_ix);
        }

        // Remove the node
        let NodeIx(ix) = node_ix;
        let ix = ix as usize;
        let node_data = self.nodes.swap_remove(ix).data;

        // Update node indices in edges after swap_remove
        if ix < self.nodes.len() {
            let moved_node_ix = NodeIx(self.nodes.len() as u32);
            for edge in &mut self.edges {
                for node_ref in &mut edge.node {
                    if *node_ref == moved_node_ix {
                        *node_ref = NodeIx(ix as u32);
                    }
                }
            }
        }

        node_data
    }
}

fn swap_remove(del_ord: &mut [(bool, usize)], mut cb: impl FnMut(usize, usize)) -> usize {
    const TO_REMOVE: bool = true;
    let mut i = 0;
    let mut j = del_ord.len() - 1;
    if del_ord.len() == 0 {
        return 0;
    }

    // SAFETY: in this loop, `0 <= i <= j < len` holds everywhere, so we have no need to check the
    // boundary.
    loop {
        // sentinel
        // SAFETY: see above
        debug_assert!(i < del_ord.len());
        let b = core::mem::replace(unsafe { &mut del_ord.get_unchecked_mut(i).0 }, !TO_REMOVE);

        while del_ord[j].0 == TO_REMOVE {
            j -= 1;
        }

        del_ord[i].0 = b;

        if i == j {
            if b == TO_REMOVE {
                return i;
            } else {
                return i + 1;
            }
        }

        // sentinel
        del_ord[j].0 = TO_REMOVE;

        // this loop ends, because the following holds:
        //   `i <= j` and `del_ord[j].0 == TO_REMOVE
        // SAFETY: see above
        while {
            debug_assert!(i < del_ord.len());
            unsafe { del_ord.get_unchecked(i).0 }
        } != TO_REMOVE
        {
            i += 1;
        }
        del_ord[j].0 = !TO_REMOVE;
        if i == j {
            return i + 1;
        }

        // tempolarily split the slice to diverge the mutable pointer.
        // it is safe, because here `i < j` holds
        // SAFETY: see above
        debug_assert!(i < j);
        debug_assert!(j < del_ord.len());
        unsafe {
            let (a_i, a_j) = del_ord.split_at_mut(j);
            debug_assert!(i < a_i.len());
            core::mem::swap(a_i.get_unchecked_mut(i), &mut a_j[0]);
        }
        cb(i, j);

        j -= 1;
    }
}

// SAFETY: the internal index of `node` is valid in `graph`
unsafe fn impl_get_edges<const IS_INCOMING: bool, N, E>(
    graph: &VecGraph<N, E>,
    NodeIx(node): NodeIx,
) -> impl Iterator<Item = EdgeIx> + use<'_, IS_INCOMING, N, E> {
    struct Iter<'a, const IS_INCOMING: bool, N, E>(&'a VecGraph<N, E>, EdgeIx);
    impl<'a, const IS_INCOMING: bool, N, E> Iterator for Iter<'a, IS_INCOMING, N, E> {
        type Item = EdgeIx;

        fn next(&mut self) -> Option<Self::Item> {
            if let Some(next_edge_repr) = self.0.edges.get(self.1 .0 as usize) {
                let next = next_edge_repr.next[IS_INCOMING as usize];
                let next_ix = core::mem::replace(&mut self.1, next);
                Some(next_ix)
            } else {
                None
            }
        }
    }
    debug_assert!((node as usize) < graph.nodes.len());
    let node_repr = graph.nodes.get_unchecked(node as usize);
    Iter::<'_, IS_INCOMING, N, E>(graph, node_repr.next[IS_INCOMING as usize])
}