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//! A `Batcher` implementation based on merge sort.
//!
//! The `MergeBatcher` requires support from two types, a "chunker" and a "merger".
//! The chunker receives input batches and consolidates them, producing sorted output
//! "chunks" that are fully consolidated (no adjacent updates can be accumulated).
//! The merger implements the [`Merger`] trait, and provides hooks for manipulating
//! sorted "chains" of chunks as needed by the merge batcher: merging chunks and also
//! splitting them apart based on time.
//!
//! Implementations of `MergeBatcher` can be instantiated through the choice of both
//! the chunker and the merger, provided their respective output and input types align.
use std::marker::PhantomData;
use timely::progress::frontier::AntichainRef;
use timely::progress::{frontier::Antichain, Timestamp};
use timely::container::{ContainerBuilder, PushInto};
use crate::logging::{BatcherEvent, Logger};
use crate::trace::{Batcher, Builder, Description};
/// Creates batches from containers of unordered tuples.
///
/// To implement `Batcher`, the container builder `C` must accept `&mut Input` as inputs,
/// and must produce outputs of type `M::Chunk`.
pub struct MergeBatcher<Input, C, M: Merger> {
/// Transforms input streams to chunks of sorted, consolidated data.
chunker: C,
/// A sequence of power-of-two length lists of sorted, consolidated containers.
///
/// Do not push/pop directly but use the corresponding functions ([`Self::chain_push`]/[`Self::chain_pop`]).
chains: Vec<Vec<M::Chunk>>,
/// Stash of empty chunks, recycled through the merging process.
stash: Vec<M::Chunk>,
/// Merges consolidated chunks, and extracts the subset of an update chain that lies in an interval of time.
merger: M,
/// Current lower frontier, we sealed up to here.
lower: Antichain<M::Time>,
/// The lower-bound frontier of the data, after the last call to seal.
frontier: Antichain<M::Time>,
/// Logger for size accounting.
logger: Option<Logger>,
/// Timely operator ID.
operator_id: usize,
/// The `Input` type needs to be called out as the type of container accepted, but it is not otherwise present.
_marker: PhantomData<Input>,
}
impl<Input, C, M> Batcher for MergeBatcher<Input, C, M>
where
C: ContainerBuilder<Container=M::Chunk> + for<'a> PushInto<&'a mut Input>,
M: Merger<Time: Timestamp>,
{
type Input = Input;
type Time = M::Time;
type Output = M::Chunk;
fn new(logger: Option<Logger>, operator_id: usize) -> Self {
Self {
logger,
operator_id,
chunker: C::default(),
merger: M::default(),
chains: Vec::new(),
stash: Vec::new(),
frontier: Antichain::new(),
lower: Antichain::from_elem(M::Time::minimum()),
_marker: PhantomData,
}
}
/// Push a container of data into this merge batcher. Updates the internal chain structure if
/// needed.
fn push_container(&mut self, container: &mut Input) {
self.chunker.push_into(container);
while let Some(chunk) = self.chunker.extract() {
let chunk = std::mem::take(chunk);
self.insert_chain(vec![chunk]);
}
}
// Sealing a batch means finding those updates with times not greater or equal to any time
// in `upper`. All updates must have time greater or equal to the previously used `upper`,
// which we call `lower`, by assumption that after sealing a batcher we receive no more
// updates with times not greater or equal to `upper`.
fn seal<B: Builder<Input = Self::Output, Time = Self::Time>>(&mut self, upper: Antichain<M::Time>) -> B::Output {
// Finish
while let Some(chunk) = self.chunker.finish() {
let chunk = std::mem::take(chunk);
self.insert_chain(vec![chunk]);
}
// Merge all remaining chains into a single chain.
while self.chains.len() > 1 {
let list1 = self.chain_pop().unwrap();
let list2 = self.chain_pop().unwrap();
let merged = self.merge_by(list1, list2);
self.chain_push(merged);
}
let merged = self.chain_pop().unwrap_or_default();
// Extract readied data.
let mut kept = Vec::new();
let mut readied = Vec::new();
self.frontier.clear();
self.merger.extract(merged, upper.borrow(), &mut self.frontier, &mut readied, &mut kept, &mut self.stash);
if !kept.is_empty() {
self.chain_push(kept);
}
self.stash.clear();
let description = Description::new(self.lower.clone(), upper.clone(), Antichain::from_elem(M::Time::minimum()));
let seal = B::seal(&mut readied, description);
self.lower = upper;
seal
}
/// The frontier of elements remaining after the most recent call to `self.seal`.
#[inline]
fn frontier(&mut self) -> AntichainRef<'_, M::Time> {
self.frontier.borrow()
}
}
impl<Input, C, M: Merger> MergeBatcher<Input, C, M> {
/// Insert a chain and maintain chain properties: Chains are geometrically sized and ordered
/// by decreasing length.
fn insert_chain(&mut self, chain: Vec<M::Chunk>) {
if !chain.is_empty() {
self.chain_push(chain);
while self.chains.len() > 1 && (self.chains[self.chains.len() - 1].len() >= self.chains[self.chains.len() - 2].len() / 2) {
let list1 = self.chain_pop().unwrap();
let list2 = self.chain_pop().unwrap();
let merged = self.merge_by(list1, list2);
self.chain_push(merged);
}
}
}
// merges two sorted input lists into one sorted output list.
fn merge_by(&mut self, list1: Vec<M::Chunk>, list2: Vec<M::Chunk>) -> Vec<M::Chunk> {
// TODO: `list1` and `list2` get dropped; would be better to reuse?
let mut output = Vec::with_capacity(list1.len() + list2.len());
self.merger.merge(list1, list2, &mut output, &mut self.stash);
output
}
/// Pop a chain and account size changes.
#[inline]
fn chain_pop(&mut self) -> Option<Vec<M::Chunk>> {
let chain = self.chains.pop();
self.account(chain.iter().flatten().map(M::account), -1);
chain
}
/// Push a chain and account size changes.
#[inline]
fn chain_push(&mut self, chain: Vec<M::Chunk>) {
self.account(chain.iter().map(M::account), 1);
self.chains.push(chain);
}
/// Account size changes. Only performs work if a logger exists.
///
/// Calculate the size based on the iterator passed along, with each attribute
/// multiplied by `diff`. Usually, one wants to pass 1 or -1 as the diff.
#[inline]
fn account<I: IntoIterator<Item = (usize, usize, usize, usize)>>(&self, items: I, diff: isize) {
if let Some(logger) = &self.logger {
let (mut records, mut size, mut capacity, mut allocations) = (0isize, 0isize, 0isize, 0isize);
for (records_, size_, capacity_, allocations_) in items {
records = records.saturating_add_unsigned(records_);
size = size.saturating_add_unsigned(size_);
capacity = capacity.saturating_add_unsigned(capacity_);
allocations = allocations.saturating_add_unsigned(allocations_);
}
logger.log(BatcherEvent {
operator: self.operator_id,
records_diff: records * diff,
size_diff: size * diff,
capacity_diff: capacity * diff,
allocations_diff: allocations * diff,
})
}
}
}
impl<Input, C, M: Merger> Drop for MergeBatcher<Input, C, M> {
fn drop(&mut self) {
// Cleanup chain to retract accounting information.
while self.chain_pop().is_some() {}
}
}
/// A trait to describe interesting moments in a merge batcher.
pub trait Merger: Default {
/// The internal representation of chunks of data.
type Chunk: Default;
/// The type of time in frontiers to extract updates.
type Time;
/// Merge chains into an output chain.
fn merge(&mut self, list1: Vec<Self::Chunk>, list2: Vec<Self::Chunk>, output: &mut Vec<Self::Chunk>, stash: &mut Vec<Self::Chunk>);
/// Extract ready updates based on the `upper` frontier.
fn extract(
&mut self,
merged: Vec<Self::Chunk>,
upper: AntichainRef<Self::Time>,
frontier: &mut Antichain<Self::Time>,
readied: &mut Vec<Self::Chunk>,
kept: &mut Vec<Self::Chunk>,
stash: &mut Vec<Self::Chunk>,
);
/// Account size and allocation changes. Returns a tuple of (records, size, capacity, allocations).
fn account(chunk: &Self::Chunk) -> (usize, usize, usize, usize);
}
pub use container::InternalMerger;
pub mod container {
//! Merger implementations for the merge batcher.
//!
//! The `InternalMerge` trait allows containers to merge sorted, consolidated
//! data using internal iteration. The `InternalMerger` type implements the
//! `Merger` trait using `InternalMerge`, and is the standard merger for all
//! container types.
use std::marker::PhantomData;
use timely::container::SizableContainer;
use timely::progress::frontier::{Antichain, AntichainRef};
use timely::{Accountable, PartialOrder};
use crate::trace::implementations::merge_batcher::Merger;
/// A container that supports the operations needed by the merge batcher:
/// merging sorted chains and extracting updates by time.
pub trait InternalMerge: Accountable + SizableContainer + Default {
/// The owned time type, for maintaining antichains.
type TimeOwned;
/// The number of items in this container.
fn len(&self) -> usize;
/// Clear the container for reuse.
fn clear(&mut self);
/// Account the allocations behind the chunk.
fn account(&self) -> (usize, usize, usize, usize) {
let (size, capacity, allocations) = (0, 0, 0);
(usize::try_from(self.record_count()).unwrap(), size, capacity, allocations)
}
/// Merge items from sorted inputs into `self`, advancing positions.
/// Merges until `self` is at capacity or all inputs are exhausted.
///
/// Dispatches based on the number of inputs:
/// - **0**: no-op
/// - **1**: bulk copy (may swap the input into `self`)
/// - **2**: merge two sorted streams
fn merge_from(
&mut self,
others: &mut [Self],
positions: &mut [usize],
);
/// Extract updates from `self` into `ship` (times not beyond `upper`)
/// and `keep` (times beyond `upper`), updating `frontier` with kept times.
///
/// Iteration starts at `*position` and advances `*position` as updates
/// are consumed. The implementation must yield (return early) when
/// either `keep.at_capacity()` or `ship.at_capacity()` becomes true,
/// so the caller can swap out a full output buffer and resume by
/// calling `extract` again. The caller invokes `extract` repeatedly
/// until `*position >= self.len()`.
///
/// This shape exists because `at_capacity()` for `Vec` is
/// `len() == capacity()`, which silently becomes false again the
/// moment a push past capacity grows the backing allocation.
/// Without per-element yielding, a single `extract` call can
/// quietly produce oversized output chunks.
fn extract(
&mut self,
position: &mut usize,
upper: AntichainRef<Self::TimeOwned>,
frontier: &mut Antichain<Self::TimeOwned>,
keep: &mut Self,
ship: &mut Self,
);
}
/// A `Merger` for `Vec` containers, which contain owned data and need special treatment.
pub type VecInternalMerger<D, T, R> = VecMerger<D, T, R>;
/// A `Merger` implementation for `Vec<(D, T, R)>` that drains owned inputs.
pub struct VecMerger<D, T, R> {
_marker: PhantomData<(D, T, R)>,
}
impl<D, T, R> Default for VecMerger<D, T, R> {
fn default() -> Self { Self { _marker: PhantomData } }
}
impl<D, T, R> VecMerger<D, T, R> {
/// The target capacity for output buffers, as a power of two.
///
/// This amount is used to size vectors, where vectors not exactly this capacity are dropped.
/// If this is mis-set, there is the potential for more memory churn than anticipated.
fn target_capacity() -> usize {
timely::container::buffer::default_capacity::<(D, T, R)>().next_power_of_two()
}
/// Acquire a buffer with the target capacity.
fn empty(&self, stash: &mut Vec<Vec<(D, T, R)>>) -> Vec<(D, T, R)> {
let target = Self::target_capacity();
let mut container = stash.pop().unwrap_or_default();
container.clear();
// Reuse if at target; otherwise allocate fresh.
if container.capacity() != target {
container = Vec::with_capacity(target);
}
container
}
/// Refill `queue` from `iter` if empty. Recycles drained queues into `stash`.
fn refill(queue: &mut std::collections::VecDeque<(D, T, R)>, iter: &mut impl Iterator<Item = Vec<(D, T, R)>>, stash: &mut Vec<Vec<(D, T, R)>>) {
if queue.is_empty() {
let target = Self::target_capacity();
if stash.len() < 2 {
let mut recycled = Vec::from(std::mem::take(queue));
recycled.clear();
if recycled.capacity() == target {
stash.push(recycled);
}
}
if let Some(chunk) = iter.next() {
*queue = std::collections::VecDeque::from(chunk);
}
}
}
}
impl<D, T, R> Merger for VecMerger<D, T, R>
where
D: Ord + Clone + 'static,
T: Ord + Clone + PartialOrder + 'static,
R: crate::difference::Semigroup + Clone + 'static,
{
type Chunk = Vec<(D, T, R)>;
type Time = T;
fn merge(
&mut self,
list1: Vec<Vec<(D, T, R)>>,
list2: Vec<Vec<(D, T, R)>>,
output: &mut Vec<Vec<(D, T, R)>>,
stash: &mut Vec<Vec<(D, T, R)>>,
) {
use std::cmp::Ordering;
use std::collections::VecDeque;
let mut iter1 = list1.into_iter();
let mut iter2 = list2.into_iter();
let mut q1 = VecDeque::<(D,T,R)>::from(iter1.next().unwrap_or_default());
let mut q2 = VecDeque::<(D,T,R)>::from(iter2.next().unwrap_or_default());
let mut result = self.empty(stash);
// Merge while both queues are non-empty.
while let (Some((d1, t1, _)), Some((d2, t2, _))) = (q1.front(), q2.front()) {
match (d1, t1).cmp(&(d2, t2)) {
Ordering::Less => {
result.push(q1.pop_front().unwrap());
}
Ordering::Greater => {
result.push(q2.pop_front().unwrap());
}
Ordering::Equal => {
let (d, t, mut r1) = q1.pop_front().unwrap();
let (_, _, r2) = q2.pop_front().unwrap();
r1.plus_equals(&r2);
if !r1.is_zero() {
result.push((d, t, r1));
}
}
}
if result.at_capacity() {
output.push(std::mem::take(&mut result));
result = self.empty(stash);
}
// Refill emptied queues from their chains.
if q1.is_empty() { Self::refill(&mut q1, &mut iter1, stash); }
if q2.is_empty() { Self::refill(&mut q2, &mut iter2, stash); }
}
// Push partial result and remaining data from both sides.
if !result.is_empty() { output.push(result); }
for q in [q1, q2] {
if !q.is_empty() { output.push(Vec::from(q)); }
}
output.extend(iter1);
output.extend(iter2);
}
fn extract(
&mut self,
merged: Vec<Vec<(D, T, R)>>,
upper: AntichainRef<T>,
frontier: &mut Antichain<T>,
ship: &mut Vec<Vec<(D, T, R)>>,
kept: &mut Vec<Vec<(D, T, R)>>,
stash: &mut Vec<Vec<(D, T, R)>>,
) {
let mut keep = self.empty(stash);
let mut ready = self.empty(stash);
for mut chunk in merged {
// Go update-by-update to swap out full containers.
for (data, time, diff) in chunk.drain(..) {
if upper.less_equal(&time) {
frontier.insert_with(&time, |time| time.clone());
keep.push((data, time, diff));
} else {
ready.push((data, time, diff));
}
if keep.at_capacity() {
kept.push(std::mem::take(&mut keep));
keep = self.empty(stash);
}
if ready.at_capacity() {
ship.push(std::mem::take(&mut ready));
ready = self.empty(stash);
}
}
// Recycle the now-empty chunk if it has the right capacity.
if chunk.capacity() == Self::target_capacity() {
stash.push(chunk);
}
}
if !keep.is_empty() { kept.push(keep); }
if !ready.is_empty() { ship.push(ready); }
}
fn account(chunk: &Vec<(D, T, R)>) -> (usize, usize, usize, usize) {
(chunk.len(), 0, 0, 0)
}
}
/// A merger that uses internal iteration via [`InternalMerge`].
pub struct InternalMerger<MC> {
_marker: PhantomData<MC>,
}
impl<MC> Default for InternalMerger<MC> {
fn default() -> Self { Self { _marker: PhantomData } }
}
impl<MC> InternalMerger<MC> where MC: InternalMerge {
#[inline]
fn empty(&self, stash: &mut Vec<MC>) -> MC {
stash.pop().unwrap_or_else(|| {
let mut container = MC::default();
container.ensure_capacity(&mut None);
container
})
}
#[inline]
fn recycle(&self, mut chunk: MC, stash: &mut Vec<MC>) {
chunk.clear();
stash.push(chunk);
}
/// Drain remaining items from one side into `result`/`output`.
///
/// Copies the partially-consumed head into `result`, then appends
/// remaining full chunks directly to `output` without copying.
fn drain_side(
&self,
head: &mut MC,
pos: &mut usize,
list: &mut std::vec::IntoIter<MC>,
result: &mut MC,
output: &mut Vec<MC>,
stash: &mut Vec<MC>,
) {
// Copy the partially-consumed head into result.
if *pos < head.len() {
result.merge_from(
std::slice::from_mut(head),
std::slice::from_mut(pos),
);
}
// Flush result before appending full chunks.
if !result.is_empty() {
output.push(std::mem::take(result));
*result = self.empty(stash);
}
// Remaining full chunks go directly to output.
output.extend(list);
}
}
impl<MC> Merger for InternalMerger<MC>
where
MC: InternalMerge<TimeOwned: Ord + PartialOrder + Clone + 'static> + 'static,
{
type Time = MC::TimeOwned;
type Chunk = MC;
fn merge(&mut self, list1: Vec<MC>, list2: Vec<MC>, output: &mut Vec<MC>, stash: &mut Vec<MC>) {
let mut list1 = list1.into_iter();
let mut list2 = list2.into_iter();
let mut heads = [list1.next().unwrap_or_default(), list2.next().unwrap_or_default()];
let mut positions = [0usize, 0usize];
let mut result = self.empty(stash);
// Main merge loop: both sides have data.
while positions[0] < heads[0].len() && positions[1] < heads[1].len() {
result.merge_from(&mut heads, &mut positions);
if positions[0] >= heads[0].len() {
let old = std::mem::replace(&mut heads[0], list1.next().unwrap_or_default());
self.recycle(old, stash);
positions[0] = 0;
}
if positions[1] >= heads[1].len() {
let old = std::mem::replace(&mut heads[1], list2.next().unwrap_or_default());
self.recycle(old, stash);
positions[1] = 0;
}
if result.at_capacity() {
output.push(std::mem::take(&mut result));
result = self.empty(stash);
}
}
// Drain remaining from each side: copy partial head, then append full chunks.
self.drain_side(&mut heads[0], &mut positions[0], &mut list1, &mut result, output, stash);
self.drain_side(&mut heads[1], &mut positions[1], &mut list2, &mut result, output, stash);
if !result.is_empty() {
output.push(result);
}
}
fn extract(
&mut self,
merged: Vec<Self::Chunk>,
upper: AntichainRef<Self::Time>,
frontier: &mut Antichain<Self::Time>,
ship: &mut Vec<Self::Chunk>,
kept: &mut Vec<Self::Chunk>,
stash: &mut Vec<Self::Chunk>,
) {
let mut keep = self.empty(stash);
let mut ready = self.empty(stash);
for mut buffer in merged {
let mut position = 0;
let len = buffer.len();
while position < len {
buffer.extract(&mut position, upper, frontier, &mut keep, &mut ready);
if keep.at_capacity() {
kept.push(std::mem::take(&mut keep));
keep = self.empty(stash);
}
if ready.at_capacity() {
ship.push(std::mem::take(&mut ready));
ready = self.empty(stash);
}
}
self.recycle(buffer, stash);
}
if !keep.is_empty() {
kept.push(keep);
}
if !ready.is_empty() {
ship.push(ready);
}
}
fn account(chunk: &Self::Chunk) -> (usize, usize, usize, usize) {
chunk.account()
}
}
/// Implementation of `InternalMerge` for `Vec<(D, T, R)>`.
///
/// Note: The `VecMerger` type implements `Merger` directly and avoids
/// cloning by draining inputs. This `InternalMerge` impl is retained
/// because `reduce` requires `Builder::Input: InternalMerge`.
pub mod vec_internal {
use std::cmp::Ordering;
use timely::PartialOrder;
use timely::container::SizableContainer;
use timely::progress::frontier::{Antichain, AntichainRef};
use crate::difference::Semigroup;
use super::InternalMerge;
impl<D: Ord + Clone + 'static, T: Ord + Clone + PartialOrder + 'static, R: Semigroup + Clone + 'static> InternalMerge for Vec<(D, T, R)> {
type TimeOwned = T;
fn len(&self) -> usize { Vec::len(self) }
fn clear(&mut self) { Vec::clear(self) }
fn merge_from(
&mut self,
others: &mut [Self],
positions: &mut [usize],
) {
match others.len() {
0 => {},
1 => {
let other = &mut others[0];
let pos = &mut positions[0];
if self.is_empty() && *pos == 0 {
std::mem::swap(self, other);
return;
}
self.extend_from_slice(&other[*pos ..]);
*pos = other.len();
},
2 => {
let (left, right) = others.split_at_mut(1);
let other1 = &mut left[0];
let other2 = &mut right[0];
while positions[0] < other1.len() && positions[1] < other2.len() && !self.at_capacity() {
let (d1, t1, _) = &other1[positions[0]];
let (d2, t2, _) = &other2[positions[1]];
// NOTE: The .clone() calls here are not great, but this dead code to be removed in the next release.
match (d1, t1).cmp(&(d2, t2)) {
Ordering::Less => {
self.push(other1[positions[0]].clone());
positions[0] += 1;
}
Ordering::Greater => {
self.push(other2[positions[1]].clone());
positions[1] += 1;
}
Ordering::Equal => {
let (d, t, mut r1) = other1[positions[0]].clone();
let (_, _, ref r2) = other2[positions[1]];
r1.plus_equals(r2);
if !r1.is_zero() {
self.push((d, t, r1));
}
positions[0] += 1;
positions[1] += 1;
}
}
}
},
n => unimplemented!("{n}-way merge not yet supported"),
}
}
fn extract(
&mut self,
position: &mut usize,
upper: AntichainRef<T>,
frontier: &mut Antichain<T>,
keep: &mut Self,
ship: &mut Self,
) {
let len = self.len();
while *position < len && !keep.at_capacity() && !ship.at_capacity() {
let (data, time, diff) = self[*position].clone();
if upper.less_equal(&time) {
frontier.insert_with(&time, |time| time.clone());
keep.push((data, time, diff));
} else {
ship.push((data, time, diff));
}
*position += 1;
}
}
}
}
}