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
// SPDX-FileCopyrightText: 2022 Thomas Kramer <code@tkramer.ch>
//
// SPDX-License-Identifier: AGPL-3.0-or-later

//! Construct timing graphs (delay graph, constraint graph) from a netlist.

use std::sync::atomic::AtomicU32;
use std::sync::atomic::Ordering;

use fnv::FnvHashMap;
use libreda_db::reference_access::*;
use libreda_db::traits::*;
use petgraph::visit::EdgeRef;
use smallvec::SmallVec;

use crate::traits::CellConstraintModel;
use crate::traits::ConstraintBase;
use crate::traits::{CellDelayModel, TimingBase};
use crate::StaError;
use crate::PATH_SEPARATOR;
use fnv::FnvHashSet;
use libreda_db::prelude as db;
use pargraph::id_rwlock::IdLockReadGuard;
use pargraph::BorrowDataCell;
use pargraph::DataCell;
use petgraph::prelude::NodeIndex;
use petgraph::stable_graph::StableDiGraph;

/// Data of a node in the timing graph.
/// Holds timing information such as actual and required arrival times but
/// also data used for concurrent graph operations.
#[derive(Debug)]
pub(crate) struct NodeData<N, D>
where
    N: NetlistIds,
    D: TimingBase + ConstraintBase,
{
    /// Type of the node. Also makes a link to the corresponding pin or pin-instance in the netlist.
    pub node_type: GraphNodeType<N>,
    /// Node data which can be accessed for read/write during parallel graph operations.
    sync_data: DataCell<SyncNodeData<D>>,
    /// The level of this node (minimal number of hops to a node without inputs)
    pub forward_level: AtomicU32,
    /// Count the number of unresolved input nodes.
    pub forward_dependencies: DependencyCounter,
    /// Count the number of unresolved output nodes + the current node.
    /// Note the node itself is considered a backward dependency because
    /// the back-propgation depends on the presence of the actual signal.
    pub backward_dependencies: DependencyCounter,
    /// ID of the last iteration in which this node was touched for forward propagation.
    /// Used to mark nodes for incremental updates.
    pub generation_forward: AtomicU32,
    /// ID of the last iteration in which this node was touched for backward propagation.
    /// Used to mark nodes for incremental updates.
    pub generation_backward: AtomicU32,
}

impl<N, D> NodeData<N, D>
where
    N: NetlistBase,
    D: TimingBase + ConstraintBase,
{
    pub fn new(node_type: GraphNodeType<N>) -> Self {
        Self {
            node_type,
            sync_data: Default::default(),
            forward_level: Default::default(),
            generation_forward: Default::default(),
            generation_backward: Default::default(),
            forward_dependencies: Default::default(),
            backward_dependencies: Default::default(),
        }
    }
}

impl<N, D> BorrowDataCell for NodeData<N, D>
where
    N: NetlistBase,
    D: TimingBase + ConstraintBase,
{
    type UserData = SyncNodeData<D>;

    fn borrow_data_cell(&self) -> &DataCell<Self::UserData> {
        &self.sync_data
    }
}

/// Atomic counter unresolved dependencies of graph nodes.
#[derive(Debug, Default)]
pub(crate) struct DependencyCounter {
    /// Number of unresolved dependencies.
    num_unresolved: AtomicU32,
}

impl DependencyCounter {
    /// Get number of unresolved dependencies.
    /// Loaded using relaxed memory ordering.
    pub fn num_unresolved(&self) -> u32 {
        self.num_unresolved.load(Ordering::Relaxed)
    }

    /// Set the number of unresolved dependencies.
    /// Uses relaxed memory ordering.
    pub fn set_num_unresolved(&self, num_unresolved: u32) {
        self.num_unresolved.store(num_unresolved, Ordering::Relaxed);
    }

    /// Increment the number of unresolved dependencies and return
    /// the result.
    pub fn increment_unresolved(&self) -> u32 {
        self.num_unresolved.fetch_add(1, Ordering::Relaxed) + 1
    }

    /// Decrement the number of unresolved dependencies and return
    /// the result.
    /// # Panics
    /// Panics on an integer underflow.
    pub fn decrement_unresolved(&self) -> u32 {
        let r = self.num_unresolved.fetch_sub(1, Ordering::Relaxed);
        assert!(r > 0, "integer underflow in number of dependencies");
        r - 1
    }
}

/// Node data which we can access during parallel graph operations.
/// Access to this data is synchronized by a lock in the `DataCell` struct.
#[derive(Debug, Clone)]
pub(crate) struct SyncNodeData<D>
where
    D: TimingBase + ConstraintBase,
{
    /// Mark this node as a primary input. Primary inputs
    /// have the actual signal set by the user. The actual signal of a primary input
    /// thus does not need to be computed.
    pub is_primary_input: bool,
    /// The signal at this location in the netlist.
    /// This is typically used to represent the arrival time.
    pub signal: Option<D::Signal>,
    /// The required signal which is necessary to meet constraints in the netlist.
    /// Typically this is encodes the required arrival time.
    pub required_signal: Option<D::RequiredSignal>,
}

impl<D> Default for SyncNodeData<D>
where
    D: TimingBase + ConstraintBase,
{
    fn default() -> Self {
        Self {
            signal: Default::default(),
            required_signal: Default::default(),
            is_primary_input: false,
        }
    }
}

/// Node in the timing graph.
/// Most nodes represent a pin in the netlist. There are also a few virtual nodes
/// (source nodes) which simplify the implementation of the delay propagation algorithms.
#[derive(Clone)]
pub(crate) enum GraphNodeType<N: NetlistIds> {
    /// A virtual node.
    /// Used as a start node in the delay propagation algorithm.
    ForwardPropagationSource,
    /// A virtual node which represents the starting node for backpropagating the constraints.
    BackwardPropagationSource,
    /// A node which represents a pin of a circuit component.
    /// Most of the nodes will be of this variant.
    Terminal(db::TerminalId<N>),
}

impl<N> std::fmt::Debug for GraphNodeType<N>
where
    N: NetlistIds,
    N::PinId: std::fmt::Debug,
    N::PinInstId: std::fmt::Debug,
{
    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
        match self {
            GraphNodeType::ForwardPropagationSource => write!(f, "source"),
            GraphNodeType::BackwardPropagationSource => write!(f, "sink"),
            GraphNodeType::Terminal(t) => write!(f, "Terminal({:?})", t),
        }
    }
}

#[derive(Debug)]
pub(crate) struct EdgeData<T: ConstraintBase> {
    pub edge_type: GraphEdgeType,
    pub sync_data: DataCell<SyncEdgeData<T>>,
}

impl<T> EdgeData<T>
where
    T: ConstraintBase,
{
    pub fn new(edge_type: GraphEdgeType) -> Self {
        Self {
            edge_type,
            sync_data: Default::default(),
        }
    }
}
impl<D> BorrowDataCell for EdgeData<D>
where
    D: TimingBase + ConstraintBase,
{
    type UserData = SyncEdgeData<D>;

    fn borrow_data_cell(&self) -> &DataCell<Self::UserData> {
        &self.sync_data
    }
}

/// Edge data which we can access during parallel graph operations.
/// Access to this data is synchronized by a lock in the `DataCell` struct.
#[derive(Debug, Clone)]
pub(crate) struct SyncEdgeData<D>
where
    D: TimingBase + ConstraintBase,
{
    pub delay: Option<D::Delay>,
    pub constraint: Option<D::Constraint>, // TODO: remove
}

impl<D> Default for SyncEdgeData<D>
where
    D: TimingBase + ConstraintBase,
{
    fn default() -> Self {
        Self {
            delay: Default::default(),
            constraint: Default::default(),
        }
    }
}

#[derive(Copy, Clone, PartialEq, Eq, Debug)]
pub(crate) enum GraphEdgeType {
    Delay,
    Constraint,
    Virtual,
}

impl GraphEdgeType {
    pub fn is_delay_arc(&self) -> bool {
        matches!(self, Self::Delay)
    }

    pub fn is_constraint_arc(&self) -> bool {
        matches!(self, Self::Constraint)
    }
}

#[derive(Debug)]
pub(crate) struct TimingGraph<N: NetlistIds, T: ConstraintBase> {
    /// Graph structure holding all delay and constraint arcs. Their value corresponds to the delay.
    pub(crate) arc_graph: StableDiGraph<NodeData<N, T>, EdgeData<T>>,
    /// The source node is used as a starting point for computing the actual arrival times.
    /// All primary inputs to the combinational logic are connected to this source node.
    pub(crate) aat_source_node: NodeIndex,
    /// The source node is used as a starting point for computing the required arrival times.
    /// All constrained pins are connected to this source node.
    pub(crate) rat_source_node: NodeIndex,
    /// Mapping from graph nodes to terminal IDs in the netlist.
    pub(crate) node2term: FnvHashMap<NodeIndex, db::TerminalId<N>>,
    /// Mapping from terminal IDs in the netlist to graph nodes.
    pub(crate) term2node: FnvHashMap<db::TerminalId<N>, NodeIndex>,
    /// List of nodes from which a timing change originates.
    /// They are used to find the forward-cone and backward-code which are
    /// subject to change during an incremental update.
    frontier: FnvHashSet<NodeIndex>,
}

impl<N: NetlistBase, T: ConstraintBase> TimingGraph<N, T> {
    /// Create empty timing graph.
    pub fn new() -> Self {
        let mut delay_arc_graph: StableDiGraph<_, _> = Default::default();
        let source_node =
            delay_arc_graph.add_node(NodeData::new(GraphNodeType::ForwardPropagationSource));
        let sink_node =
            delay_arc_graph.add_node(NodeData::new(GraphNodeType::BackwardPropagationSource));
        Self {
            arc_graph: delay_arc_graph,
            node2term: Default::default(),
            term2node: Default::default(),
            aat_source_node: source_node,
            rat_source_node: sink_node,
            frontier: Default::default(),
        }
    }

    /// Get read access to the node data.
    /// Returns `None` if the terminal does not exist in the timing graph.
    /// Panics, if the read-lock cannot be acquired. Use only while there's no timing propagation running!
    pub fn get_node_data(
        &self,
        pin: &db::TerminalId<N>,
    ) -> Option<IdLockReadGuard<SyncNodeData<T>>> {
        let graph_node = *self.term2node.get(pin)?;

        self.arc_graph
            .node_weight(graph_node)
            .expect("node has no weight")
            .borrow_data_cell()
            .try_read()
            .expect("failed to acquire read-lock")
            .into()
    }

    /// Get a reference to the delay graph.
    pub fn graph(&self) -> &StableDiGraph<NodeData<N, T>, EdgeData<T>> {
        &self.arc_graph
    }

    /// Take the set of frontier nodes and replace it by an empty set.
    pub fn take_frontier(&mut self) -> FnvHashSet<NodeIndex> {
        let frontier = std::mem::replace(&mut self.frontier, Default::default());
        frontier
    }

    /// Mark a node which needs to be recomputed in the next incremental update.
    pub fn add_to_frontier(&mut self, terminal: &db::TerminalId<N>) {
        let node = self
            .term2node
            .get(terminal)
            .expect("terminal does not exist in timing graph");
        self.frontier.insert(*node);
    }

    /// Assemble a directed graph which represents all delays arcs and constraints (without values yet).
    /// Net terminals become nodes in the graph.
    /// Cell-internal arcs are derived from the `cell_delay_arcs`.
    /// Inter-cell arcs (interconnects) are derived from the netlist of the top cell `top_ref`.
    pub fn build_from_netlist<C, D>(
        top_ref: &CellRef<N>,
        delay_model: &D,
        constraint_model: &C,
    ) -> Self
    where
        D: CellDelayModel<N, Delay = T::Delay>,
        C: CellConstraintModel<N, Constraint = T::Constraint>,
    {
        // Create empty timing graph.
        let mut timing_graph = Self::new();

        for p in top_ref.each_pin() {
            timing_graph.create_pin(p);
        }

        // Create nodes for each pin instance.
        for inst in top_ref.each_cell_instance() {
            timing_graph.create_cell_instance(&inst, delay_model, constraint_model);
        }

        timing_graph.create_delay_edges_inter_cell(top_ref);
        timing_graph.create_primary_input_delay_arcs(top_ref);

        // Add the root node to the frontier.
        // This makes sure that the first incremental signal propagation computes all signals.
        timing_graph.frontier.insert(timing_graph.aat_source_node);

        timing_graph
    }

    /// Create graph nodes for each pin instance.
    pub fn create_cell_instance<C, D>(
        &mut self,
        inst: &CellInstRef<N>,
        delay_model: &D,
        constraint_model: &C,
    ) where
        D: CellDelayModel<N, Delay = T::Delay>,
        C: CellConstraintModel<N, Constraint = T::Constraint>,
    {
        for p in inst.each_pin_instance() {
            let terminal = p.into_terminal();
            self.create_terminal(terminal.id());
        }

        self.create_delay_edges_intra_cell(inst, delay_model);
        self.create_constraint_edges(inst, constraint_model);
    }

    pub fn remove_cell_instance(&mut self, inst: &CellInstRef<N>) {
        for p in inst.each_pin_instance() {
            let terminal = p.into_terminal();
            self.remove_terminal(terminal.id());
        }
    }

    /// Remove all inter-cell arcs created by this net.
    pub fn remove_net(&mut self, net: &NetRef<N>) -> Result<(), StaError> {
        let terminals = net.each_terminal();
        // Distinguish between sources (drivers) and sinks.
        let (sources, sinks): (Vec<_>, Vec<_>) = terminals.into_iter().partition(|t| {
            // Is source?

            match t {
                db::TerminalRef::Pin(p) => p.direction().is_input(),
                db::TerminalRef::PinInst(p) => p.pin().direction().is_output(),
            }
        });

        if !sources.is_empty() {
            if sources.len() != 1 {
                log::warn!(
                    "Net must have 1 driver (has {}): {}",
                    sources.len(),
                    net.qname(PATH_SEPARATOR)
                );
                return Err(StaError::Other(format!(
                    "Net must have 1 driver (has {}): {}",
                    sources.len(),
                    net.qname(PATH_SEPARATOR)
                )));
            }

            let source = sources[0].id();
            let source_id = self.term2node[&source];

            for sink in sinks {
                let sink_id = self.term2node[&sink.id()];
                let edge = self
                    .arc_graph
                    .find_edge(source_id, sink_id)
                    .expect("delay arc is not present");
                self.arc_graph.remove_edge(edge);
            }
        }

        return Ok(());
    }

    /// Disconnect the terminal from the old net and connect it to the new net (if it is `Some`).
    pub fn connect_terminal(&mut self, t: db::TerminalRef<N>, net: Option<N::NetId>) {
        let is_source = match &t {
            db::TerminalRef::Pin(p) => p.direction().is_input(),
            db::TerminalRef::PinInst(p) => p.pin().direction().is_output(),
        };
        let node = *self
            .term2node
            .get(&t.id())
            .expect("terminal is not in timing graph");

        let dir = if is_source {
            petgraph::Direction::Outgoing
        } else {
            petgraph::Direction::Incoming
        };

        // Disconnect first.
        // Need to collect the edges because later we need mutable access to the graph.
        let edges: SmallVec<[_; 8]> = self
            .arc_graph
            .edges_directed(node, dir)
            // Sanity check.
            .inspect(|e| {
                assert_eq!(
                    e.weight().edge_type,
                    GraphEdgeType::Delay,
                    "should remove only interconnect delay arcs"
                )
            })
            .map(|e| (e.source(), e.target(), e.id()))
            .collect();

        let netlist = t.base();
        for (src, dest, edge_id) in edges {
            assert!(
                // Sanity check: make sure we don't accidentially remove an arc inside a cell but a interconnect arc.
                if is_source { src == node } else { dest == node },
                "this is not an interconnect edge"
            );
            self.arc_graph.remove_edge(edge_id);
            self.frontier.insert(src);
            self.frontier.insert(dest);
        }

        // Eventually connect to new net.
        if let Some(net) = net {
            let net = netlist.net_ref(&net);
            // Connect
            if is_source {
                for sink in net.each_sink() {
                    let sink_node = self.term2node[&sink.id()];
                    self.arc_graph.update_edge(
                        node,
                        sink_node,
                        EdgeData::new(GraphEdgeType::Delay),
                    );
                    self.frontier.insert(node);
                    self.frontier.remove(&sink_node); // Not necessary but might save some memory.
                }
            } else {
                for source in net.each_driver() {
                    let source_node = self.term2node[&source.id()];
                    self.arc_graph.update_edge(
                        source_node,
                        node,
                        EdgeData::new(GraphEdgeType::Delay),
                    );
                    self.frontier.insert(source_node);
                    self.frontier.remove(&node); // Not necessary but might save some memory.
                }
            };
        }
    }

    pub fn create_terminal(&mut self, terminal_id: db::TerminalId<N>) {
        debug_assert!(
            !self.term2node.contains_key(&terminal_id),
            "terminal is already present"
        );
        let node_id = self
            .arc_graph
            .add_node(NodeData::new(GraphNodeType::Terminal(terminal_id.clone())));
        self.term2node.insert(terminal_id.clone(), node_id);
        self.node2term.insert(node_id, terminal_id);
    }

    // Create grpah nodes for an external pin.
    fn create_pin(&mut self, pin: PinRef<N>) {
        let terminal = pin.into_terminal();
        self.create_terminal(terminal.id());
    }

    fn remove_terminal(&mut self, terminal: db::TerminalId<N>) {
        let node = self
            .term2node
            .remove(&terminal)
            .expect("pin does not exist in timing graph");
        self.arc_graph.remove_node(node);
        self.node2term.remove(&node).expect("node does not exist");
    }

    pub fn remove_pin(&mut self, pin: N::PinId) {
        let terminal = db::TerminalId::PinId(pin);
        self.remove_terminal(terminal)
    }

    pub fn remove_pin_instance(&mut self, pin: N::PinInstId) {
        let terminal = db::TerminalId::PinInstId(pin);
        self.remove_terminal(terminal)
    }

    fn create_delay_edges_inter_cell(&mut self, top_ref: &CellRef<N>) -> Result<(), StaError> {
        let netlist = top_ref.base();
        let top = top_ref.id();

        // Create inter-cell arcs.
        for net in netlist.each_internal_net(&top) {
            let terminals = netlist.each_terminal_of_net_vec(&net);
            // Distinguish between sources (drivers) and sinks.
            let (sources, sinks): (Vec<_>, Vec<_>) = terminals.into_iter().partition(|t| {
                // Is source?
                match t {
                    db::TerminalId::PinId(p) => netlist.pin_direction(p).is_input(),
                    db::TerminalId::PinInstId(p) => {
                        let pin = netlist.template_pin(p);
                        netlist.pin_direction(&pin).is_output()
                    }
                }
            });

            if !sources.is_empty() {
                if sources.len() != 1 {
                    log::warn!(
                        "Net must have 1 driver (has {}): {}",
                        sources.len(),
                        netlist.net_ref(&net).qname(PATH_SEPARATOR)
                    );
                    return Err(StaError::Other(format!(
                        "Net must have 1 driver (has {}): {}",
                        sources.len(),
                        netlist.net_ref(&net).qname(PATH_SEPARATOR)
                    )));
                }

                let source = &sources[0];
                let source_id = self.term2node[source];

                for sink in sinks {
                    let sink_id = self.term2node[&sink];
                    self.arc_graph.update_edge(
                        source_id,
                        sink_id,
                        EdgeData::new(GraphEdgeType::Delay),
                    );
                }
            }
        }

        Ok(())
    }

    fn pin_instance_to_graph_node(&self, pin_inst: &PinInstRef<N>) -> NodeIndex {
        let terminal = pin_inst.terminal_id();
        *self
            .term2node
            .get(&terminal)
            .expect("Pin node does not exist.")
    }

    fn create_delay_edges_intra_cell<D>(&mut self, inst: &CellInstRef<N>, delay_model: &D)
    where
        D: CellDelayModel<N, Delay = T::Delay>,
    {
        let netlist = inst.base();

        // Create intra-cell delay arcs.
        // Store the intra-cell delay edges.

        for delay_arc in delay_model.delay_arcs(netlist, &inst.template_id()) {
            // Convert terminals of arc to graph node indices.
            let [input_pin_node, output_pin_node] = [delay_arc.input_pin, delay_arc.output_pin]
                .map(|p| self.pin_instance_to_graph_node(&inst.pin_instance(&p)));

            self.arc_graph.update_edge(
                input_pin_node,
                output_pin_node,
                EdgeData::new(GraphEdgeType::Delay),
            );
        }
    }

    fn create_constraint_edges<C>(&mut self, inst: &CellInstRef<N>, constraint_model: &C)
    where
        C: CellConstraintModel<N, Constraint = T::Constraint>,
    {
        let netlist = inst.base();

        for constraint_arc in constraint_model.constraint_arcs(netlist, &inst.template_id()) {
            // Convert terminals of arc to graph node indices.
            let [related_pin_node, constrained_pin_node] =
                [constraint_arc.related_pin, constraint_arc.constrained_pin]
                    .map(|p| self.pin_instance_to_graph_node(&inst.pin_instance(&p)));

            self.arc_graph.update_edge(
                related_pin_node,
                constrained_pin_node,
                EdgeData::new(GraphEdgeType::Constraint),
            );

            //// Keep track of the constraint arc by adding an edge to the RAT source node.
            //self.arc_graph.update_edge(
            //    self.rat_source_node,
            //    constrained_pin_node,
            //    EdgeData::new(GraphEdgeType::Virtual),
            //);
        }
    }

    /// Create a directed edge from the AAT source node the primary input nodes.
    fn create_primary_input(&mut self, primary_input: db::TerminalId<N>) {
        let t_id = self.term2node[&primary_input];
        // TODO: Take input delays into account here.
        self.arc_graph.update_edge(
            self.aat_source_node,
            t_id,
            EdgeData::new(GraphEdgeType::Delay),
        );
    }

    /// Create directed edges from the AAT source node all primary input nodes.
    fn create_primary_input_delay_arcs(&mut self, top_cell: &CellRef<N>) {
        // Create directed edges from the AAT source node to all primary input nodes.
        for prim_input in get_primary_inputs(top_cell) {
            self.create_primary_input(prim_input.into_terminal().into());
        }
    }
}

/// Get input pins of a cell.
fn get_primary_inputs<'a, N: NetlistBase>(top_ref: &CellRef<'a, N>) -> Vec<PinRef<'a, N>> {
    top_ref
        .each_pin()
        .filter(|p| p.direction().is_input())
        .collect()
}