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
//! Order book implementation with intrusive linked lists.
//!
//! This module provides the order book data structure that tracks orders
//! at each price level with FIFO time-priority ordering using doubly-linked
//! lists.
mod error;
mod level;
mod order;
#[cfg(feature = "display")]
mod view;
#[cfg(test)]
mod tests;
use std::{
cmp::Reverse,
collections::{BTreeMap, HashMap},
};
pub use error::{OrderBookError, OrderBookResult};
use fastnum::{
UD64, UD128,
decimal::{Context, RoundingMode},
};
use itertools::{FoldWhile, Itertools};
pub use level::BookLevel;
pub use order::BookOrder;
#[cfg(feature = "display")]
pub use view::{OrderBookView, OrderHighlight};
use crate::{state::Order, types};
/// L3 order book with intrusive linked lists.
///
/// Orders are stored in a HashMap keyed by OrderId, with each price level
/// maintaining a doubly-linked list of orders in FIFO (time-priority) order.
/// Provides both L2 (aggregated price levels) and L3 (individual orders) views.
#[derive(Clone, Debug, Default)]
pub struct OrderBook {
/// Storage for all orders, keyed by OrderId.
orders: HashMap<types::OrderId, BookOrder>,
/// Orders keyed by client order ID, per account ID.
client_orders: HashMap<(types::AccountId, types::RequestId), types::OrderId>,
/// Ask levels sorted by price (ascending, best ask first).
asks: BTreeMap<UD64, BookLevel>,
/// Bid levels sorted by price (descending, best bid first).
bids: BTreeMap<Reverse<UD64>, BookLevel>,
}
impl OrderBook {
pub(crate) fn new() -> Self { Self::default() }
// === L2 API ===
/// Asks sorted away from the spread.
pub fn asks(&self) -> &BTreeMap<UD64, BookLevel> { &self.asks }
/// Bids sorted away from the spread.
pub fn bids(&self) -> &BTreeMap<Reverse<UD64>, BookLevel> { &self.bids }
/// Best ask price/size.
pub fn best_ask(&self) -> Option<(UD64, UD64)> {
self.asks
.iter()
.find(|(_, lvl)| lvl.size() > UD64::ZERO)
.map(|(k, v)| (*k, v.size()))
}
/// Best bid price/size.
pub fn best_bid(&self) -> Option<(UD64, UD64)> {
self.bids
.iter()
.find(|(_, lvl)| lvl.size() > UD64::ZERO)
.map(|(k, v)| (k.0, v.size()))
}
/// Ask impact price for the requested size, along with the fillable size
/// and size-averaged price.
pub fn ask_impact(&self, want_size: UD64) -> Option<(UD64, UD64, UD64)> {
Self::impact(self.asks.iter(), want_size)
}
/// Bid impact price for the requested size, along with the fillable size
/// and size-averaged price.
pub fn bid_impact(&self, want_size: UD64) -> Option<(UD64, UD64, UD64)> {
Self::impact(self.bids.iter().map(|(k, v)| (&k.0, v)), want_size)
}
/// Ask impact price for the requested notional amount, along with the
/// fillable size, size-averaged price, and filled notional.
/// CAREFUL: See [`impact_notional`](Self::impact_notional) for partial-fill
/// semantics.
pub fn ask_impact_notional(&self, want_notional: UD128) -> Option<(UD64, UD64, UD64, UD128)> {
Self::impact_notional(self.asks.iter(), want_notional)
}
/// Bid impact price for the requested notional amount, along with the
/// fillable size, size-averaged price, and filled notional.
/// CAREFUL: See [`impact_notional`](Self::impact_notional) for partial-fill
/// semantics.
pub fn bid_impact_notional(&self, want_notional: UD128) -> Option<(UD64, UD64, UD64, UD128)> {
Self::impact_notional(self.bids.iter().map(|(k, v)| (&k.0, v)), want_notional)
}
// === L3 API ===
/// Get L3 level at a specific ask price.
pub fn ask_level(&self, price: UD64) -> Option<&BookLevel> { self.asks.get(&price) }
/// Get L3 level at a specific bid price.
pub fn bid_level(&self, price: UD64) -> Option<&BookLevel> { self.bids.get(&Reverse(price)) }
/// Get a specific order by ID (O(1) via HashMap lookup).
pub fn get_order(&self, order_id: types::OrderId) -> Option<&BookOrder> {
self.orders.get(&order_id)
}
/// Get a specific order by client order ID (O(1) via HashMap lookup).
pub fn get_order_by_client_id(
&self,
account_id: types::AccountId,
client_id: types::RequestId,
) -> Option<&BookOrder> {
self.client_orders
.get(&(account_id, client_id))
.and_then(|order_id| self.orders.get(order_id))
}
/// Iterator over all L3 orders on the ask side in price-time priority.
pub fn ask_orders(&self) -> impl Iterator<Item = &BookOrder> {
self.asks
.values()
.flat_map(|level| self.level_orders(level))
}
/// Iterator over all L3 orders on the bid side in price-time priority.
pub fn bid_orders(&self) -> impl Iterator<Item = &BookOrder> {
self.bids
.values()
.flat_map(|level| self.level_orders(level))
}
/// Total number of orders in the book.
pub fn total_orders(&self) -> usize { self.orders.len() }
/// Access to all orders in the book keyed by order ID.
pub fn all_orders(&self) -> &HashMap<types::OrderId, BookOrder> { &self.orders }
/// Iterator over orders at a specific level (follows the linked list).
pub(crate) fn level_orders<'a>(&'a self, level: &'a BookLevel) -> LevelOrdersIter<'a> {
LevelOrdersIter { orders: &self.orders, current: level.head() }
}
#[cfg(feature = "display")]
pub fn view<'a>(
&'a self,
depth: Option<usize>,
orders_per_level: Option<usize>,
show_expired: bool,
) -> OrderBookView<'a> {
OrderBookView::new(self, depth, orders_per_level, show_expired)
}
// === Mutation methods ===
/// Add an order to the book (at the back of the queue for its price level).
///
/// # Errors
///
/// Returns an error if:
/// - The order already exists in the book
/// - The order has zero size
/// - The order has zero price
pub(crate) fn add_order(&mut self, order: &Order) -> OrderBookResult<()> {
let order_id = order.order_id();
// Validate order
if order.size() == UD64::ZERO {
return Err(OrderBookError::InvalidOrderSize { order_id, size: order.size() });
}
if order.price() == UD64::ZERO {
return Err(OrderBookError::InvalidOrderPrice { order_id, price: order.price() });
}
// Check if order already exists
if let Some(existing) = self.orders.get(&order_id) {
return Err(OrderBookError::OrderAlreadyExists {
order_id,
existing_price: existing.price(),
});
}
// Get or create the level and capture tail before inserting
let side = order.r#type().side();
let old_tail = self.get_or_create_level_mut(side, order.price()).tail();
// Create the BookOrder with prev pointing to current tail
let mut l3_order = BookOrder::new(*order);
l3_order.set_prev(old_tail);
// Insert into hashmaps
self.orders.insert(order_id, l3_order);
if let Some(client_order_id) = order.client_order_id() {
self.client_orders
.insert((order.account_id(), client_order_id), order_id);
}
// Link at tail
self.link_at_tail(side, order.price(), old_tail, order_id, order.size());
Ok(())
}
/// Update an order's size (same price level, keeps queue position).
/// Expected to be called only for non-expired orders.
///
/// # Errors
///
/// Returns an error if:
/// - The order doesn't exist in the book
/// - The new size is zero
pub(crate) fn update_order(
&mut self,
order: &Order,
prev_order: &BookOrder,
) -> OrderBookResult<()> {
let order_id = order.order_id();
// Validate new size
if order.size() == UD64::ZERO {
return Err(OrderBookError::InvalidOrderSize { order_id, size: order.size() });
}
let old_size = prev_order.size();
let price = prev_order.price();
let side = prev_order.r#type().side();
// Update the order data
self.orders
.get_mut(&order_id)
.ok_or(OrderBookError::OrderNotFound { order_id })?
.update_order(*order);
// Update level cached size
let level = self
.get_level_mut(side, price)
.ok_or(OrderBookError::LevelNotFound { price, side })?;
level.update_size(old_size, order.size());
Ok(())
}
/// Remove an order from the book by ID.
///
/// Returns the removed order.
///
/// # Errors
///
/// Returns an error if:
/// - The order doesn't exist in the book
pub(crate) fn remove_order(&mut self, prev_order: &BookOrder) -> OrderBookResult<Order> {
let order_id = prev_order.order_id();
let prev_id = prev_order.prev();
let next_id = prev_order.next();
let price = prev_order.price();
let size = prev_order.size();
let side = prev_order.r#type().side();
// Unlink from list
self.unlink_node(prev_id, next_id);
// Update level head/tail and check if empty
let level = self
.get_level_mut(side, price)
.ok_or(OrderBookError::LevelNotFound { price, side })?;
if level.head() == Some(order_id) {
level.set_head(next_id);
}
if level.tail() == Some(order_id) {
level.set_tail(prev_id);
}
if !prev_order.is_expired() {
// Expired orders already removed from the cached level size/count
level.sub_size(size);
}
let should_remove_level = level.is_empty();
// Prune empty level
if should_remove_level {
self.remove_level(side, price);
}
// Remove from hashmap and return the order
let removed = self
.orders
.remove(&order_id)
.ok_or(OrderBookError::OrderNotFound { order_id })?;
if let Some(client_order_id) = removed.client_order_id() {
self.client_orders
.remove(&(removed.account_id(), client_order_id));
}
Ok(*removed)
}
/// Move an order to the back of the queue (for size increases).
///
/// # Errors
///
/// Returns an error if:
/// - The order doesn't exist in the book
pub(crate) fn move_to_back(
&mut self,
order: &Order,
prev_order: &BookOrder,
) -> OrderBookResult<()> {
let order_id = order.order_id();
let prev_id = prev_order.prev();
let next_id = prev_order.next();
let price = prev_order.price();
let old_size = prev_order.size();
let side = prev_order.r#type().side();
// If already at tail, just update the order data
let is_at_tail = self
.get_level(side, price)
.ok_or(OrderBookError::LevelNotFound { price, side })?
.tail()
== Some(order_id);
if is_at_tail {
// Already at back, just update order data
if let Some(l3_order) = self.orders.get_mut(&order_id) {
l3_order.update_order(*order);
}
let level = self
.get_level_mut(side, price)
.ok_or(OrderBookError::LevelNotFound { price, side })?;
if prev_order.is_expired() {
// Expired order was removed from the cached level size/count
level.add_size(order.size());
} else {
level.update_size(old_size, order.size());
}
return Ok(());
}
// Unlink from current position
self.unlink_node(prev_id, next_id);
// Update level head if we were the head
let level = self
.get_level_mut(side, price)
.ok_or(OrderBookError::LevelNotFound { price, side })?;
if level.head() == Some(order_id) {
level.set_head(next_id);
}
// Get old tail before updating
let old_tail = level.tail();
// Update old tail's next pointer
if let Some(old_tail_id) = old_tail
&& let Some(old_tail_order) = self.orders.get_mut(&old_tail_id)
{
old_tail_order.set_next(Some(order_id));
}
// Update this order's links and data
if let Some(l3_order) = self.orders.get_mut(&order_id) {
l3_order.set_prev(old_tail);
l3_order.set_next(None);
l3_order.update_order(*order);
} else {
return Err(OrderBookError::OrderNotFound { order_id });
}
// Update level tail and size - need to re-borrow
let level = self
.get_level_mut(side, price)
.ok_or(OrderBookError::LevelNotFound { price, side })?;
level.set_tail(Some(order_id));
if prev_order.is_expired() {
// Expired order was removed from the cached level size/count
level.add_size(order.size());
} else {
level.update_size(old_size, order.size());
}
Ok(())
}
/// Add orders from a snapshot, reconstructing FIFO order from linked list
/// pointers.
///
/// Uses the `prev_order_id`/`next_order_id` fields to determine the correct
/// queue position within each price level.
///
/// # Errors
///
/// Returns an error if any order has invalid size or price.
pub(crate) fn add_orders_from_snapshot(&mut self, orders: &[Order]) -> OrderBookResult<()> {
// Collect order IDs for validation
let order_ids: std::collections::HashSet<types::OrderId> =
orders.iter().map(|o| o.order_id()).collect();
// First pass: insert all orders and set prev/next pointers directly
for order in orders {
let order_id = order.order_id();
if order.size() == UD64::ZERO {
return Err(OrderBookError::InvalidOrderSize { order_id, size: order.size() });
}
if order.price() == UD64::ZERO {
return Err(OrderBookError::InvalidOrderPrice { order_id, price: order.price() });
}
// Validate that referenced orders exist in this snapshot
if let Some(prev_id) = order.prev_order_id()
&& !order_ids.contains(&prev_id)
{
return Err(OrderBookError::DanglingOrderReference {
order_id,
referenced_id: prev_id,
pointer: "prev",
});
}
if let Some(next_id) = order.next_order_id()
&& !order_ids.contains(&next_id)
{
return Err(OrderBookError::DanglingOrderReference {
order_id,
referenced_id: next_id,
pointer: "next",
});
}
// Create BookOrder with prev/next pointing directly to OrderIds
let mut l3_order = BookOrder::new(*order);
l3_order.set_prev(order.prev_order_id());
l3_order.set_next(order.next_order_id());
self.orders.insert(order_id, l3_order);
}
// Second pass: build levels with head/tail and cached aggregates
// Group orders by (price, side)
let mut level_orders: HashMap<(UD64, types::OrderSide), Vec<types::OrderId>> =
HashMap::new();
for order in orders {
let key = (order.price(), order.r#type().side());
level_orders.entry(key).or_default().push(order.order_id());
}
for ((price, side), order_ids) in level_orders {
// Find head (order with no prev in this level)
let head = order_ids.iter().find(|&&id| {
self.orders
.get(&id)
.is_some_and(|o| o.prev().is_none_or(|p| !order_ids.contains(&p)))
});
// Find tail (order with no next in this level)
let tail = order_ids.iter().find(|&&id| {
self.orders
.get(&id)
.is_some_and(|o| o.next().is_none_or(|n| !order_ids.contains(&n)))
});
// Build level with head/tail and cached aggregates
let mut level = BookLevel::new();
level.set_head(head.copied());
level.set_tail(tail.copied());
for &id in &order_ids {
if let Some(order) = self.orders.get(&id)
&& !order.is_expired()
{
level.add_size(order.size());
}
}
match side {
types::OrderSide::Ask => {
self.asks.insert(price, level);
},
types::OrderSide::Bid => {
self.bids.insert(Reverse(price), level);
},
}
}
Ok(())
}
/// Check if any orders are expired and update cached L2 book state.
pub(crate) fn check_expired(&mut self, instant: types::StateInstant) {
let mut update_levels = vec![];
for order in self.orders.values_mut() {
if order.update_if_expired(instant) {
update_levels.push((order.r#type().side(), order.price(), order.size()));
}
}
for (side, price, size) in update_levels {
if let Some(level) = self.get_level_mut(side, price) {
level.sub_size(size);
}
}
}
// === Linked list helpers ===
/// Get a level by side and price (immutable).
fn get_level(&self, side: types::OrderSide, price: UD64) -> Option<&BookLevel> {
match side {
types::OrderSide::Ask => self.asks.get(&price),
types::OrderSide::Bid => self.bids.get(&Reverse(price)),
}
}
/// Get a level by side and price (mutable).
fn get_level_mut(&mut self, side: types::OrderSide, price: UD64) -> Option<&mut BookLevel> {
match side {
types::OrderSide::Ask => self.asks.get_mut(&price),
types::OrderSide::Bid => self.bids.get_mut(&Reverse(price)),
}
}
/// Get or create a level by side and price.
fn get_or_create_level_mut(&mut self, side: types::OrderSide, price: UD64) -> &mut BookLevel {
match side {
types::OrderSide::Ask => self.asks.entry(price).or_default(),
types::OrderSide::Bid => self.bids.entry(Reverse(price)).or_default(),
}
}
/// Remove a level by side and price.
fn remove_level(&mut self, side: types::OrderSide, price: UD64) {
match side {
types::OrderSide::Ask => {
self.asks.remove(&price);
},
types::OrderSide::Bid => {
self.bids.remove(&Reverse(price));
},
}
}
/// Force remove a level (for testing state inconsistency handling).
#[cfg(test)]
pub(crate) fn force_remove_level(&mut self, side: types::OrderSide, price: UD64) {
self.remove_level(side, price);
}
/// Unlink a node from the doubly-linked list by updating its neighbors.
fn unlink_node(&mut self, prev_id: Option<types::OrderId>, next_id: Option<types::OrderId>) {
// Update prev's next pointer
if let Some(prev) = prev_id
&& let Some(prev_order) = self.orders.get_mut(&prev)
{
prev_order.set_next(next_id);
}
// Update next's prev pointer
if let Some(next) = next_id
&& let Some(next_order) = self.orders.get_mut(&next)
{
next_order.set_prev(prev_id);
}
}
/// Link a new order at the tail of a level.
/// Takes old_tail to avoid borrowing level while mutating orders.
fn link_at_tail(
&mut self,
side: types::OrderSide,
price: UD64,
old_tail: Option<types::OrderId>,
order_id: types::OrderId,
size: UD64,
) {
// Update old tail's next pointer
if let Some(old_tail_id) = old_tail
&& let Some(old_tail_order) = self.orders.get_mut(&old_tail_id)
{
old_tail_order.set_next(Some(order_id));
}
// Update level head/tail (re-borrow level after updating orders)
let level = self.get_or_create_level_mut(side, price);
if level.head().is_none() {
level.set_head(Some(order_id));
}
level.set_tail(Some(order_id));
level.add_size(size);
}
/// Gets the impact price for a market order of the requested size, along
/// with the fillable size and size-averaged price.
fn impact<'a>(
mut side: impl Iterator<Item = (&'a UD64, &'a BookLevel)>,
want_size: UD64,
) -> Option<(UD64, UD64, UD64)> {
let (price, unfilled, price_size) = side
.fold_while(
(UD64::ZERO, want_size, UD128::ZERO),
|(_, unfilled, price_size), (price, level)| {
let level_size = level.size();
if unfilled > level_size {
FoldWhile::Continue((
*price,
unfilled - level_size,
price_size + (price.resize() * level_size.resize()),
))
} else {
FoldWhile::Done((
*price,
UD64::ZERO,
price_size + (price.resize() * unfilled.resize()),
))
}
},
)
.into_inner();
let filled = want_size - unfilled;
if filled > UD64::ZERO {
Some((price, filled, (price_size / filled.resize()).resize()))
} else {
None
}
}
/// Gets the impact price for a market order of the requested notional
/// amount, along with the fillable size, size-averaged price, and
/// filled notional amount. `want_notional` is the target cumulative
/// notional (sum of price * size).
///
/// CAREFUL: Returns whatever values can be filled, up to `want_notional`.
/// It is incumbent upon the caller to check that the returned
/// `filled_notional` meets or exceeds the value specified for
/// `want_notional`.
fn impact_notional<'a>(
mut side: impl Iterator<Item = (&'a UD64, &'a BookLevel)>,
want_notional: UD128,
) -> Option<(UD64, UD64, UD64, UD128)> {
let (price, _, filled_size, filled_notional) = side
.fold_while(
(UD64::ZERO, want_notional, UD64::ZERO, UD128::ZERO),
|(_, remaining, filled_size, filled_notional), (price, level)| {
let level_size = level.size();
let level_notional = price.resize() * level_size.resize();
if remaining > level_notional {
FoldWhile::Continue((
*price,
remaining - level_notional,
filled_size + level_size,
filled_notional + level_notional,
))
} else {
let partial_size: UD64 = (remaining / price.resize()).resize();
FoldWhile::Done((
*price,
UD128::ZERO,
filled_size + partial_size,
filled_notional + remaining,
))
}
},
)
.into_inner();
if filled_size.is_zero() {
None
} else {
let ctx = Context::default().with_rounding_mode(RoundingMode::HalfUp);
let vwap: UD64 =
(filled_notional.with_ctx(ctx) / filled_size.resize().with_ctx(ctx)).resize();
Some((price, filled_size, vwap, filled_notional))
}
}
}
#[cfg(feature = "display")]
impl std::fmt::Display for OrderBook {
fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
self.view(None, None, true).fmt(f)
}
}
/// Iterator over orders at a price level (follows linked list).
pub(crate) struct LevelOrdersIter<'a> {
orders: &'a HashMap<types::OrderId, BookOrder>,
current: Option<types::OrderId>,
}
impl<'a> Iterator for LevelOrdersIter<'a> {
type Item = &'a BookOrder;
fn next(&mut self) -> Option<Self::Item> {
let id = self.current?;
let order = self.orders.get(&id)?;
self.current = order.next();
Some(order)
}
}