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// Copyright Materialize, Inc. and contributors. All rights reserved.
//
// Use of this software is governed by the Business Source License
// included in the LICENSE file.
//
// As of the Change Date specified in that file, in accordance with
// the Business Source License, use of this software will be governed
// by the Apache License, Version 2.0.
//! Hoist literal values from maps wherever possible.
//!
//! This transform specifically looks for `MirRelationExpr::Map` operators
//! where any of the `ScalarExpr` expressions are literals. Whenever it
//! can, it lifts those expressions through or around operators.
//!
//! The main feature of this operator is that it allows transformations
//! to locally change the shape of operators, presenting fewer columns
//! when they are unused and replacing them with mapped default values.
//! The mapped default values can then be lifted and ideally absorbed.
//! This type of transformation is difficult to make otherwise, as it
//! is not easy to locally change the shape of relations.
use std::collections::BTreeMap;
use itertools::{zip_eq, Itertools};
use mz_expr::visit::Visit;
use mz_expr::JoinImplementation::IndexedFilter;
use mz_expr::{Id, JoinInputMapper, MirRelationExpr, MirScalarExpr, RECURSION_LIMIT};
use mz_ore::stack::{CheckedRecursion, RecursionGuard};
use mz_repr::{Row, RowPacker};
use crate::TransformCtx;
/// Hoist literal values from maps wherever possible.
#[derive(Debug)]
pub struct LiteralLifting {
recursion_guard: RecursionGuard,
}
impl Default for LiteralLifting {
fn default() -> LiteralLifting {
LiteralLifting {
recursion_guard: RecursionGuard::with_limit(RECURSION_LIMIT),
}
}
}
impl CheckedRecursion for LiteralLifting {
fn recursion_guard(&self) -> &RecursionGuard {
&self.recursion_guard
}
}
impl crate::Transform for LiteralLifting {
#[mz_ore::instrument(
target = "optimizer",
level = "debug",
fields(path.segment = "literal_lifting")
)]
fn transform(
&self,
relation: &mut MirRelationExpr,
_: &mut TransformCtx,
) -> Result<(), crate::TransformError> {
let literals = self.action(relation, &mut BTreeMap::new())?;
if !literals.is_empty() {
// Literals return up the root should be re-installed.
*relation = relation.take_dangerous().map(literals);
}
mz_repr::explain::trace_plan(&*relation);
Ok(())
}
}
impl LiteralLifting {
/// Hoist literal values from maps wherever possible.
///
/// Returns a list of literal scalar expressions that must be appended
/// to the result before it can be correctly used. The intent is that
/// this action extracts a maximal set of literals from `relation`,
/// which can then often be propagated further up and inlined in any
/// expressions as it goes.
///
/// In several cases, we only manage to extract literals from the final
/// columns. But in those cases where it is possible, permutations are
/// used to move all of the literals to the final columns, and then rely
/// on projection hoisting to allow the these literals to move up the AST.
///
/// TODO: The literals from the final columns are returned as the result
/// of this method, whereas literals in intermediate columns are extracted
/// using permutations. The reason for this different treatment is that in
/// some cases it is not possible to remove the projection of the
/// permutation, preventing the lifting of a literal that could otherwise
/// be lifted, the following example being of them:
///
/// %0 =
/// | Constant (1, 2, 3) (2, 2, 3)
///
/// %1 =
/// | Constant (4, 3, 3) (4, 5, 3)
///
/// %2 =
/// | Union %0 %1
///
/// If final literals weren't treated differently, the example above would
/// lead to the following transformed plan:
///
/// %0 =
/// | Constant (1) (2)
/// | Map 2, 3
/// | Project (#0..#2)
///
/// %1 =
/// | Constant (3) (5)
/// | Map 4, 3
/// | Project (#1, #0, #2)
///
/// %2 =
/// | Union %0 %1
///
/// Since the union branches have different projections, they cannot be
/// removed, preventing literal 3 from being lifted further.
///
/// In theory, all literals could be treated in the same way if this method
/// returned both a list of literals and a projection vector, making the
/// caller have to deal with the reshuffling.
/// (see <https://github.com/MaterializeInc/database-issues/issues/2055>)
///
pub fn action(
&self,
relation: &mut MirRelationExpr,
// Map from names to literals required for appending.
gets: &mut BTreeMap<Id, Vec<MirScalarExpr>>,
) -> Result<Vec<MirScalarExpr>, crate::TransformError> {
self.checked_recur(|_| {
match relation {
MirRelationExpr::Constant { rows, typ } => {
// From the back to the front, check if all values are identical.
let mut the_same = vec![true; typ.arity()];
if let Ok([(row, _cnt), rows @ ..]) = rows.as_deref_mut() {
let mut data = row.unpack();
assert_eq!(the_same.len(), data.len());
for (row, _cnt) in rows.iter() {
let other = row.unpack();
assert_eq!(the_same.len(), other.len());
for index in 0..the_same.len() {
the_same[index] = the_same[index] && (data[index] == other[index]);
}
}
let mut literals = Vec::new();
while the_same.last() == Some(&true) {
the_same.pop();
let datum = data.pop().unwrap();
let typum = typ.column_types.pop().unwrap();
literals.push(MirScalarExpr::literal_ok(datum, typum.scalar_type));
}
literals.reverse();
// Any subset of constant values can be extracted with a permute.
let remaining_common_literals = the_same.iter().filter(|e| **e).count();
if remaining_common_literals > 0 {
let final_arity = the_same.len() - remaining_common_literals;
let mut projected_literals = Vec::new();
let mut projection = Vec::new();
let mut new_column_types = Vec::new();
for (i, sameness) in the_same.iter().enumerate() {
if *sameness {
projection.push(final_arity + projected_literals.len());
projected_literals.push(MirScalarExpr::literal_ok(
data[i],
typ.column_types[i].scalar_type.clone(),
));
} else {
projection.push(new_column_types.len());
new_column_types.push(typ.column_types[i].clone());
}
}
typ.column_types = new_column_types;
// Tidy up the type information of `relation`.
for key in typ.keys.iter_mut() {
*key = key
.iter()
.filter(|x| !the_same.get(**x).unwrap_or(&true))
.map(|x| projection[*x])
.collect::<Vec<usize>>();
}
typ.keys.sort();
typ.keys.dedup();
let remove_extracted_literals = |row: &mut Row| {
let mut new_row = Row::default();
let mut packer = new_row.packer();
let data = row.unpack();
for i in 0..the_same.len() {
if !the_same[i] {
packer.push(data[i]);
}
}
*row = new_row;
};
remove_extracted_literals(row);
for (row, _cnt) in rows.iter_mut() {
remove_extracted_literals(row);
}
*relation = relation
.take_dangerous()
.map(projected_literals)
.project(projection);
} else if !literals.is_empty() {
// Tidy up the type information of `relation`.
for key in typ.keys.iter_mut() {
key.retain(|k| k < &data.len());
}
typ.keys.sort();
typ.keys.dedup();
RowPacker::for_existing_row(row).truncate_datums(typ.arity());
for (row, _cnt) in rows.iter_mut() {
RowPacker::for_existing_row(row).truncate_datums(typ.arity());
}
}
Ok(literals)
} else {
Ok(Vec::new())
}
}
MirRelationExpr::Get { id, typ, .. } => {
// A get expression may need to have literal expressions appended to it.
let literals = gets.get(id).cloned().unwrap_or_else(Vec::new);
if !literals.is_empty() {
// Correct the type of the `Get`, which has fewer columns,
// and not the same fields in its keys. It is ok to remove
// any columns from the keys, as them being literals meant
// that their distinctness was not what made anything a key.
for _ in 0..literals.len() {
typ.column_types.pop();
}
let columns = typ.column_types.len();
for key in typ.keys.iter_mut() {
key.retain(|k| k < &columns);
}
typ.keys.sort();
typ.keys.dedup();
}
Ok(literals)
}
MirRelationExpr::Let { id, value, body } => {
// Any literals appended to the `value` should be used
// at corresponding `Get`s throughout the `body`.
let literals = self.action(value, gets)?;
let id = Id::Local(*id);
if !literals.is_empty() {
let prior = gets.insert(id, literals);
assert!(!prior.is_some());
}
let result = self.action(body, gets);
gets.remove(&id);
result
}
MirRelationExpr::LetRec {
ids,
values,
limits: _,
body,
} => {
let recursive_ids = MirRelationExpr::recursive_ids(ids, values);
// Extend the context with empty `literals` vectors for all
// recursive IDs.
for local_id in ids.iter() {
if recursive_ids.contains(local_id) {
let literals = vec![];
let prior = gets.insert(Id::Local(*local_id), literals);
assert!(!prior.is_some());
}
}
// Descend into values and extend the context with their
// `literals` results.
for (local_id, value) in zip_eq(ids.iter(), values.iter_mut()) {
let literals = self.action(value, gets)?;
if recursive_ids.contains(local_id) {
// Literals lifted from a recursive binding should
// be re-installed at the top of the value.
if !literals.is_empty() {
*value = value.take_dangerous().map(literals);
}
} else {
// Literals lifted from a non-recursive binding can
// propagate to its call sites.
let prior = gets.insert(Id::Local(*local_id), literals);
assert!(!prior.is_some());
}
}
// Descend into body.
let result = self.action(body, gets)?;
// Remove all enclosing IDs from the context before
// returning the result.
for id in ids.iter() {
gets.remove(&Id::Local(*id));
}
Ok(result)
}
MirRelationExpr::Project { input, outputs } => {
// We do not want to lift literals around projections.
// Projections are the highest lifted operator and lifting
// literals around projections could cause us to fail to
// reach a fixed point under the transformations.
let mut literals = self.action(input, gets)?;
if !literals.is_empty() {
let input_arity = input.arity();
// For each input literal contains a vector with the `output` positions
// that references it. By putting data into a Vec and sorting, we
// guarantee a reliable order.
let mut used_literals = outputs
.iter()
.enumerate()
.filter(|(_, x)| **x >= input_arity)
.map(|(out_col, old_in_col)| (old_in_col - input_arity, out_col))
// group them to avoid adding duplicated literals
.into_group_map()
.drain()
.collect::<Vec<_>>();
if used_literals.len() != literals.len() {
used_literals.sort();
// Discard literals that are not projected
literals = used_literals
.iter()
.map(|(old_in_col, _)| literals[*old_in_col].clone())
.collect::<Vec<_>>();
// Update the references to the literal in `output`
for (new_in_col, (_old_in_col, out_cols)) in
used_literals.iter().enumerate()
{
for out_col in out_cols {
outputs[*out_col] = input_arity + new_in_col;
}
}
}
// If the literals need to be re-interleaved,
// we don't have much choice but to install a
// Map operator to do that under the project.
// Ideally this doesn't happen much, as projects
// get lifted too.
if !literals.is_empty() {
**input = input.take_dangerous().map(literals);
}
}
// Policy: Do not lift literals around projects.
Ok(Vec::new())
}
MirRelationExpr::Map { input, scalars } => {
let mut literals = self.action(input, gets)?;
// Make the map properly formed again.
literals.extend(scalars.iter().cloned());
*scalars = literals;
// Strip off literals at the end of `scalars`.
let mut result = Vec::new();
while scalars.last().map(|e| e.is_literal()) == Some(true) {
result.push(scalars.pop().unwrap());
}
result.reverse();
if scalars.is_empty() {
*relation = input.take_dangerous();
} else {
// Permute columns to put literals at end, if any, hope project lifted.
let literal_count = scalars.iter().filter(|e| e.is_literal()).count();
if literal_count != 0 {
let input_arity = input.arity();
let first_literal_id = input_arity + scalars.len() - literal_count;
let mut new_scalars = Vec::new();
let mut projected_literals = Vec::new();
let mut projection = (0..input_arity).collect::<Vec<usize>>();
for scalar in scalars.iter_mut() {
if scalar.is_literal() {
projection.push(first_literal_id + projected_literals.len());
projected_literals.push(scalar.clone());
} else {
let mut cloned_scalar = scalar.clone();
// Propagate literals through expressions and remap columns.
cloned_scalar.visit_mut_post(&mut |e| {
if let MirScalarExpr::Column(old_id) = e {
let new_id = projection[*old_id];
if new_id >= first_literal_id {
*e = projected_literals[new_id - first_literal_id]
.clone();
} else {
*old_id = new_id;
}
}
})?;
projection.push(input_arity + new_scalars.len());
new_scalars.push(cloned_scalar);
}
}
new_scalars.extend(projected_literals);
*relation = input.take_dangerous().map(new_scalars).project(projection);
}
}
Ok(result)
}
MirRelationExpr::FlatMap { input, func, exprs } => {
let literals = self.action(input, gets)?;
if !literals.is_empty() {
let input_arity = input.arity();
for expr in exprs.iter_mut() {
expr.visit_mut_post(&mut |e| {
if let MirScalarExpr::Column(c) = e {
if *c >= input_arity {
*e = literals[*c - input_arity].clone();
}
}
})?;
}
// Permute the literals around the columns added by FlatMap
let mut projection = (0..input_arity).collect::<Vec<usize>>();
let func_arity = func.output_arity();
projection
.extend((0..literals.len()).map(|x| input_arity + func_arity + x));
projection.extend((0..func_arity).map(|x| input_arity + x));
*relation = relation.take_dangerous().map(literals).project(projection);
}
Ok(Vec::new())
}
MirRelationExpr::Filter { input, predicates } => {
let literals = self.action(input, gets)?;
if !literals.is_empty() {
// We should be able to instantiate all uses of `literals`
// in predicates and then lift the `map` around the filter.
let input_arity = input.arity();
for expr in predicates.iter_mut() {
expr.visit_mut_post(&mut |e| {
if let MirScalarExpr::Column(c) = e {
if *c >= input_arity {
*e = literals[*c - input_arity].clone();
}
}
})?;
}
}
Ok(literals)
}
MirRelationExpr::Join {
inputs,
equivalences,
implementation,
} => {
if !matches!(implementation, IndexedFilter(..)) {
// before lifting, save the original shape of the inputs
let old_input_mapper = JoinInputMapper::new(inputs);
// lift literals from each input
let mut input_literals = Vec::new();
for mut input in inputs.iter_mut() {
let literals = self.action(input, gets)?;
// Do not propagate error literals beyond join inputs, since that may result
// in them being propagated to other inputs of the join and evaluated when
// they should not.
if literals.iter().any(|l| l.is_literal_err()) {
// Push the literal errors beyond any arrangement since otherwise JoinImplementation
// would add another arrangement on top leading to an infinite loop/stack overflow.
if let MirRelationExpr::ArrangeBy { input, .. } = &mut input {
**input = input.take_dangerous().map(literals);
} else {
*input = input.take_dangerous().map(literals);
}
input_literals.push(Vec::new());
} else {
input_literals.push(literals);
}
}
if input_literals.iter().any(|l| !l.is_empty()) {
*implementation = mz_expr::JoinImplementation::Unimplemented;
// We should be able to install any literals in the
// equivalence relations, and then lift all literals
// around the join using a project to re-order columns.
// Visit each expression in each equivalence class to either
// inline literals or update column references.
let new_input_mapper = JoinInputMapper::new(inputs);
for equivalence in equivalences.iter_mut() {
for expr in equivalence.iter_mut() {
expr.visit_mut_post(&mut |e| {
if let MirScalarExpr::Column(c) = e {
let (col, input) =
old_input_mapper.map_column_to_local(*c);
if col >= new_input_mapper.input_arity(input) {
// the column refers to a literal that
// has been promoted. inline it
*e = input_literals[input]
[col - new_input_mapper.input_arity(input)]
.clone()
} else {
// localize to the new join
*c = new_input_mapper
.map_column_to_global(col, input);
}
}
})?;
}
}
// We now determine a projection to shovel around all of
// the columns that puts the literals last. Where this is optional
// for other operators, it is mandatory here if we want to lift the
// literals through the join.
// The first literal column number starts at the last column
// of the new join. Increment the column number as literals
// get added.
let mut literal_column_number = new_input_mapper.total_columns();
let mut projection = Vec::new();
for input in 0..old_input_mapper.total_inputs() {
for column in old_input_mapper.local_columns(input) {
if column >= new_input_mapper.input_arity(input) {
projection.push(literal_column_number);
literal_column_number += 1;
} else {
projection.push(
new_input_mapper.map_column_to_global(column, input),
);
}
}
}
let literals = input_literals.into_iter().flatten().collect::<Vec<_>>();
// Bubble up literals if the projection is the
// identity.
if projection.iter().enumerate().all(|(col, &pos)| col == pos) {
return Ok(literals);
}
// Otherwise add map(literals) + project(projection)
// and bubble up an empty literals vector.
*relation = relation.take_dangerous().map(literals).project(projection);
}
}
Ok(Vec::new())
}
MirRelationExpr::Reduce {
input,
group_key,
aggregates,
monotonic: _,
expected_group_size: _,
} => {
let literals = self.action(input, gets)?;
if !literals.is_empty() {
// Reduce absorbs maps, and we should inline literals.
let input_arity = input.arity();
// Inline literals into group key expressions.
for expr in group_key.iter_mut() {
expr.visit_mut_post(&mut |e| {
if let MirScalarExpr::Column(c) = e {
if *c >= input_arity {
*e = literals[*c - input_arity].clone();
}
}
})?;
}
// Inline literals into aggregate value selector expressions.
for aggr in aggregates.iter_mut() {
aggr.expr.visit_mut_post(&mut |e| {
if let MirScalarExpr::Column(c) = e {
if *c >= input_arity {
*e = literals[*c - input_arity].clone();
}
}
})?;
}
}
let eval_constant_aggr = |aggr: &mz_expr::AggregateExpr| {
let temp = mz_repr::RowArena::new();
let mut eval = aggr.expr.eval(&[], &temp);
if let Ok(param) = eval {
eval = Ok(aggr.func.eval(Some(param), &temp));
}
MirScalarExpr::literal(
eval,
// This type information should be available in the `a.expr` literal,
// but extracting it with pattern matching seems awkward.
aggr.func.output_type(aggr.expr.typ(&[])).scalar_type,
)
};
// The only literals we think we can lift are those that are
// independent of the number of records; things like `Any`, `All`,
// `Min`, and `Max`.
let mut result = Vec::new();
while aggregates.last().map(|a| a.is_constant()) == Some(true) {
let aggr = aggregates.pop().unwrap();
result.push(eval_constant_aggr(&aggr));
}
if aggregates.is_empty() {
while group_key.last().map(|k| k.is_literal()) == Some(true) {
let key = group_key.pop().unwrap();
result.push(key);
}
}
result.reverse();
// Add a Map operator with the remaining literals so that they are lifted in
// the next invocation of this transform.
let non_literal_keys = group_key.iter().filter(|x| !x.is_literal()).count();
let non_constant_aggr = aggregates.iter().filter(|x| !x.is_constant()).count();
if non_literal_keys != group_key.len() || non_constant_aggr != aggregates.len()
{
let first_projected_literal: usize = non_literal_keys + non_constant_aggr;
let mut projection = Vec::new();
let mut projected_literals = Vec::new();
let mut new_group_key = Vec::new();
for key in group_key.drain(..) {
if key.is_literal() {
projection.push(first_projected_literal + projected_literals.len());
projected_literals.push(key);
} else {
projection.push(new_group_key.len());
new_group_key.push(key);
}
}
// The new group key without literals
*group_key = new_group_key;
let mut new_aggregates = Vec::new();
for aggr in aggregates.drain(..) {
if aggr.is_constant() {
projection.push(first_projected_literal + projected_literals.len());
projected_literals.push(eval_constant_aggr(&aggr));
} else {
projection.push(group_key.len() + new_aggregates.len());
new_aggregates.push(aggr);
}
}
// The new aggregates without constant ones
*aggregates = new_aggregates;
*relation = relation
.take_dangerous()
.map(projected_literals)
.project(projection);
}
Ok(result)
}
MirRelationExpr::TopK {
input,
group_key,
order_key,
limit,
offset: _,
monotonic: _,
expected_group_size: _,
} => {
let literals = self.action(input, gets)?;
if !literals.is_empty() {
// We should be able to lift literals out, as they affect neither
// grouping nor ordering. We should discard grouping and ordering
// that references the columns, though.
let input_arity = input.arity();
group_key.retain(|c| *c < input_arity);
order_key.retain(|o| o.column < input_arity);
// Inline literals into the limit expression.
if let Some(limit) = limit {
limit.visit_mut_post(&mut |e| {
if let MirScalarExpr::Column(c) = e {
if *c >= input_arity {
*e = literals[*c - input_arity].clone();
}
}
})?;
}
}
Ok(literals)
}
MirRelationExpr::Negate { input } => {
// Literals can just be lifted out of negate.
self.action(input, gets)
}
MirRelationExpr::Threshold { input } => {
// Literals can just be lifted out of threshold.
self.action(input, gets)
}
MirRelationExpr::Union { base, inputs } => {
let mut base_literals = self.action(base, gets)?;
let mut input_literals = vec![];
for input in inputs.iter_mut() {
input_literals.push(self.action(input, gets)?)
}
// We need to find the longest common suffix between all the arms of the union.
let mut suffix = Vec::new();
while !base_literals.is_empty()
&& input_literals
.iter()
.all(|lits| lits.last() == base_literals.last())
{
// Every arm agrees on the last value, so push it onto the shared suffix and
// remove it from each arm.
suffix.push(base_literals.last().unwrap().clone());
base_literals.pop();
for lits in input_literals.iter_mut() {
lits.pop();
}
}
// Because we pushed stuff onto the vector like a stack, we need to reverse it now.
suffix.reverse();
// Any remaining literals for each expression must be appended to that expression,
// while the shared suffix is returned to continue traveling upwards.
if !base_literals.is_empty() {
**base = base.take_dangerous().map(base_literals);
}
for (input, literals) in inputs.iter_mut().zip_eq(input_literals) {
if !literals.is_empty() {
*input = input.take_dangerous().map(literals);
}
}
Ok(suffix)
}
MirRelationExpr::ArrangeBy { input, keys } => {
// TODO(frank): Not sure if this is the right behavior,
// as we disrupt the set of used arrangements. Though,
// we are probably most likely to use arranged `Get`
// operators rather than those decorated with maps.
let literals = self.action(input, gets)?;
if !literals.is_empty() {
let input_arity = input.arity();
for key in keys.iter_mut() {
for expr in key.iter_mut() {
expr.visit_mut_post(&mut |e| {
if let MirScalarExpr::Column(c) = e {
if *c >= input_arity {
*e = literals[*c - input_arity].clone();
}
}
})?;
}
}
}
Ok(literals)
}
}
})
}
}