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//! Recursive SCC execution using semi-naive fixpoint iteration.
use std::collections::{HashMap, HashSet};
use xlog_core::{RelId, Result, Schema, XlogError};
use xlog_cuda::CudaBuffer;
use xlog_ir::{ExecutionPlan, RirNode, Stratum};
use super::delta::DeltaRelationTracker;
use super::Executor;
impl Executor {
/// Maximum iterations for fixpoint computation to prevent infinite loops
const MAX_FIXPOINT_ITERATIONS: usize = 1000;
/// Stub: always returns an error directing callers to use `execute_plan` instead.
pub fn execute_stratum(&mut self, _stratum: &Stratum) -> Result<()> {
Err(XlogError::Execution(
"execute_stratum cannot be called directly; use execute_plan instead which provides \
the required rules_by_scc context"
.to_string(),
))
}
pub fn execute_non_recursive_scc(&mut self, rules: &[xlog_ir::CompiledRule]) -> Result<()> {
for rule in rules {
let result = self.execute_node(&rule.body)?;
if let Some(existing) = self.store.get(&rule.head) {
if result.is_empty() {
continue;
}
let merged = self.provider.union_gpu(existing, &result)?;
self.store_put(&rule.head, merged);
} else {
let key_cols: Vec<usize> = (0..result.arity()).collect();
let deduped = if result.is_empty() {
result
} else {
self.provider.dedup(&result, &key_cols)?
};
self.store_put(&rule.head, deduped);
}
}
Ok(())
}
/// Execute a stratum (internal implementation)
///
/// Processes all SCCs in the stratum by executing their rules.
/// For recursive SCCs, uses semi-naive fixpoint iteration.
pub(super) fn execute_stratum_impl(
&mut self,
stratum: &Stratum,
plan: &ExecutionPlan,
) -> Result<()> {
// Process each SCC in the stratum
for &scc_id in &stratum.sccs {
// Get rules for this SCC
if let Some(rules) = plan.rules_by_scc.get(scc_id as usize) {
// Get SCC metadata
let scc = plan.sccs.get(scc_id as usize);
let is_recursive = scc.map(|s| s.is_recursive).unwrap_or(false);
if is_recursive {
// Recursive SCC: use semi-naive fixpoint iteration
self.execute_recursive_scc(rules)?;
} else {
// Non-recursive SCC: execute rules once, union results for same predicate
for rule in rules {
let result = self.execute_node(&rule.body)?;
// Union with existing result if predicate already has data
if let Some(existing) = self.store.get(&rule.head) {
let union_input_rows = existing.num_rows() + result.num_rows();
let start = self.profiler.start_op();
let merged = self.provider.union_gpu(existing, &result)?;
if let Some(start) = start {
let mem = self.provider.memory().allocated_bytes();
self.profiler.record_op(
"union",
union_input_rows,
merged.num_rows(),
start,
mem,
);
self.profiler.record_peak_memory(mem);
}
self.store_put(&rule.head, merged);
} else {
let key_cols: Vec<usize> = (0..result.arity()).collect();
let deduped = if result.is_empty() {
result
} else {
let dedup_input_rows = result.num_rows();
let start = self.profiler.start_op();
let deduped = self.provider.dedup(&result, &key_cols)?;
if let Some(start) = start {
let mem = self.provider.memory().allocated_bytes();
self.profiler.record_op(
"dedup",
dedup_input_rows,
deduped.num_rows(),
start,
mem,
);
self.profiler.record_peak_memory(mem);
}
deduped
};
self.store_put(&rule.head, deduped);
}
}
}
}
}
Ok(())
}
/// Execute a recursive SCC using semi-naive fixpoint iteration
///
/// The algorithm:
/// 1. Execute all rules once to get initial result
/// 2. Track which relations changed (delta)
/// 3. Re-execute rules, using delta from previous iteration
/// 4. Repeat until no changes (fixpoint reached)
pub fn execute_recursive_scc(&mut self, rules: &[xlog_ir::CompiledRule]) -> Result<()> {
// Identify SCC predicates from rule heads (these are the recursive IDBs).
let mut recursive_preds: HashSet<String> = HashSet::new();
let mut schema_by_pred: HashMap<String, Schema> = HashMap::new();
for rule in rules {
recursive_preds.insert(rule.head.clone());
if rule.meta.schema.arity() > 0 {
schema_by_pred
.entry(rule.head.clone())
.or_insert_with(|| rule.meta.schema.clone());
}
}
// Ensure all recursive predicates exist in the store so scans never fail
// due to evaluation order (mutual recursion can reference an as-yet-empty relation).
for pred in &recursive_preds {
if !self.store.contains(pred) {
let schema = schema_by_pred
.get(pred)
.cloned()
.or_else(|| self.store.get(pred).map(|b| b.schema().clone()))
.ok_or_else(|| {
XlogError::Execution(format!(
"Missing schema for recursive predicate {}",
pred
))
})?;
let empty = self.create_empty_buffer(schema)?;
self.store_put(pred, empty);
}
}
// Create per-predicate delta relations (distinct RelIds) so semi-naive evaluation
// can target a single recursive Scan occurrence without overriding *all* scans of
// that predicate in a rule (required for self-joins like p(X,Y), p(Y,Z)).
let mut next_rel_id = self
.rel_names
.keys()
.map(|r| r.0)
.max()
.unwrap_or(0)
.saturating_add(1);
let mut delta_tracker = DeltaRelationTracker::new();
for pred in &recursive_preds {
let rel_id = RelId(next_rel_id);
next_rel_id = next_rel_id.saturating_add(1);
let name = format!("__delta_{}_{}", pred, rel_id.0);
self.register_relation(rel_id, &name);
delta_tracker.insert(pred.clone(), rel_id, name);
}
// Step 1: Execute all rules once against the current store to seed initial results.
// Accumulate per-head before mutating the store to avoid order dependence.
let mut derived_initial: HashMap<String, CudaBuffer> = HashMap::new();
for rule in rules {
let result = self.execute_node(&rule.body)?;
if let Some(acc) = derived_initial.get_mut(&rule.head) {
let union_input = acc.num_rows() + result.num_rows();
let start = self.profiler.start_op();
let merged = self.provider.union_gpu(acc, &result)?;
if let Some(start) = start {
let mem = self.provider.memory().allocated_bytes();
self.profiler
.record_op("union", union_input, merged.num_rows(), start, mem);
self.profiler.record_peak_memory(mem);
}
*acc = merged;
} else {
derived_initial.insert(rule.head.clone(), result);
}
}
// Initialize delta from the newly-derived tuples only.
//
// This supports incremental maintenance: if the SCC is executed again after EDB inserts,
// the delta relations start with only the *new* tuples, not a full rescan of the current
// fixed point.
for pred in &recursive_preds {
let full_old = self
.store
.remove(pred)
.ok_or_else(|| XlogError::Execution(format!("Missing relation: {}", pred)))?;
let derived = match derived_initial.remove(pred) {
Some(buf) => buf,
None => self.create_empty_buffer(full_old.schema().clone())?,
};
let union_input = full_old.num_rows() + derived.num_rows();
let start = self.profiler.start_op();
let merged = self.provider.union_gpu(&full_old, &derived)?;
if let Some(start) = start {
let mem = self.provider.memory().allocated_bytes();
self.profiler
.record_op("union", union_input, merged.num_rows(), start, mem);
self.profiler.record_peak_memory(mem);
}
let key_cols: Vec<usize> = (0..merged.arity()).collect();
let full_new = if merged.is_empty() {
merged
} else {
let dedup_input = merged.num_rows();
let start = self.profiler.start_op();
let deduped = self.provider.dedup_sorted(&merged, &key_cols)?;
if let Some(start) = start {
let mem = self.provider.memory().allocated_bytes();
self.profiler
.record_op("dedup", dedup_input, deduped.num_rows(), start, mem);
self.profiler.record_peak_memory(mem);
}
deduped
};
let delta_name = delta_tracker.delta_name(pred)?;
let delta_initial = if full_old.is_empty() || full_new.is_empty() {
self.clone_buffer(&full_new)?
} else {
let diff_input = full_new.num_rows() + full_old.num_rows();
let start = self.profiler.start_op();
let diffed = self.provider.diff_gpu(&full_new, &full_old)?;
if let Some(start) = start {
let mem = self.provider.memory().allocated_bytes();
self.profiler
.record_op("diff", diff_input, diffed.num_rows(), start, mem);
self.profiler.record_peak_memory(mem);
}
diffed
};
self.store_put(pred, full_new);
self.store_put(delta_name, delta_initial);
}
// Step 2: Iterate until no new tuples are produced.
let mut reached_fixpoint = false;
let max_iterations = self.config.max_iterations as usize;
let mut iteration_count = 0usize;
for _iteration in 0..max_iterations {
iteration_count += 1;
// Compute delta_new_raw per head by evaluating each rule once per recursive Scan occurrence.
let mut delta_new_raw_by_head: HashMap<String, CudaBuffer> = HashMap::new();
for rule in rules {
let mut scans = Vec::new();
Self::collect_scan_rels(&rule.body, &mut scans);
// Build a list of (rel_id, occurrence_idx, pred_name) for recursive scans.
let mut seen: HashMap<RelId, usize> = HashMap::new();
let mut variants: Vec<(RelId, usize, String)> = Vec::new();
for rel_id in scans {
let pred_name = match self.get_rel_name(rel_id) {
Some(n) => n.to_string(),
None => continue,
};
if !recursive_preds.contains(&pred_name) {
continue;
}
// Skip variants where the delta for this predicate is empty.
let delta_name = match delta_tracker.get(&pred_name) {
Some((_rel_id, name)) => name.as_str(),
None => continue,
};
if self
.store
.get(delta_name)
.map(|b| b.is_empty())
.unwrap_or(true)
{
continue;
}
let occ = seen.entry(rel_id).or_insert(0);
variants.push((rel_id, *occ, pred_name));
*occ += 1;
}
if variants.is_empty() {
// Base rule: it can only contribute on the first seeding pass.
continue;
}
let mut rule_delta_raw: Option<CudaBuffer> = None;
for (rel_id, occ, pred_name) in variants {
let delta_rel_id = delta_tracker.delta_rel_id(&pred_name)?;
let variant_node =
Self::rewrite_scan_nth(&rule.body, rel_id, occ, delta_rel_id).ok_or_else(
|| {
XlogError::Execution(format!(
"Failed to rewrite rule body for predicate {}",
pred_name
))
},
)?;
let out = self.execute_node(&variant_node)?;
rule_delta_raw = Some(if let Some(acc) = rule_delta_raw {
let union_input = acc.num_rows() + out.num_rows();
let start = self.profiler.start_op();
let merged = self.provider.union_gpu(&acc, &out)?;
if let Some(start) = start {
let mem = self.provider.memory().allocated_bytes();
self.profiler.record_op(
"union",
union_input,
merged.num_rows(),
start,
mem,
);
self.profiler.record_peak_memory(mem);
}
merged
} else {
out
});
}
if let Some(rule_out) = rule_delta_raw {
if let Some(acc) = delta_new_raw_by_head.get_mut(&rule.head) {
let union_input = acc.num_rows() + rule_out.num_rows();
let start = self.profiler.start_op();
let merged = self.provider.union_gpu(acc, &rule_out)?;
if let Some(start) = start {
let mem = self.provider.memory().allocated_bytes();
self.profiler.record_op(
"union",
union_input,
merged.num_rows(),
start,
mem,
);
self.profiler.record_peak_memory(mem);
}
*acc = merged;
} else {
delta_new_raw_by_head.insert(rule.head.clone(), rule_out);
}
}
}
// Finalize delta_new per head: delta_new = dedup(delta_raw - full).
delta_tracker.begin_iteration();
for pred in &recursive_preds {
let full = self
.store
.get(pred)
.ok_or_else(|| XlogError::Execution(format!("Missing relation: {}", pred)))?;
let delta_raw = delta_new_raw_by_head.remove(pred);
let delta_new = if let Some(delta_raw) = delta_raw {
if delta_raw.is_empty() {
self.create_empty_buffer(full.schema().clone())?
} else {
let diff_input = delta_raw.num_rows() + full.num_rows();
let start = self.profiler.start_op();
let diffed = self.provider.diff_gpu(&delta_raw, full)?;
if let Some(start) = start {
let mem = self.provider.memory().allocated_bytes();
self.profiler.record_op(
"diff",
diff_input,
diffed.num_rows(),
start,
mem,
);
self.profiler.record_peak_memory(mem);
}
diffed
}
} else {
self.create_empty_buffer(full.schema().clone())?
};
let delta_name = delta_tracker.delta_name(pred)?.to_string();
if !delta_new.is_empty() {
delta_tracker.mark_changed();
}
self.store_put(&delta_name, delta_new);
}
// Fixpoint reached if no deltas produced.
if delta_tracker.is_converged() {
reached_fixpoint = true;
self.profiler.record_iterations(iteration_count);
break;
}
// Merge deltas into full relations.
for pred in &recursive_preds {
let full_old = self
.store
.remove(pred)
.ok_or_else(|| XlogError::Execution(format!("Missing relation: {}", pred)))?;
let dn = delta_tracker.delta_name(pred)?;
let delta = self
.store_remove(dn)
.ok_or_else(|| XlogError::Execution(format!("Missing relation: {}", dn)))?;
if delta.is_empty() {
self.store_put(pred, full_old);
self.store_put(dn, delta);
continue;
}
let union_input = full_old.num_rows() + delta.num_rows();
let start = self.profiler.start_op();
let merged = self.provider.union_gpu(&full_old, &delta)?;
if let Some(start) = start {
let mem = self.provider.memory().allocated_bytes();
self.profiler
.record_op("union", union_input, merged.num_rows(), start, mem);
self.profiler.record_peak_memory(mem);
}
let key_cols: Vec<usize> = (0..merged.arity()).collect();
let full_new = if merged.is_empty() {
merged
} else {
let dedup_input = merged.num_rows();
let start = self.profiler.start_op();
let deduped = self.provider.dedup_sorted(&merged, &key_cols)?;
if let Some(start) = start {
let mem = self.provider.memory().allocated_bytes();
self.profiler.record_op(
"dedup",
dedup_input,
deduped.num_rows(),
start,
mem,
);
self.profiler.record_peak_memory(mem);
}
deduped
};
self.store_put(pred, full_new);
self.store_put(dn, delta);
}
}
// Cleanup: remove delta relations from store and relation mapping.
for (_pred, (rel_id, delta_name)) in delta_tracker.into_inner() {
self.store_remove(&delta_name);
self.rel_names.remove(&rel_id);
self.name_to_rel.remove(&delta_name);
let _ = self.stats.unregister_relation(rel_id);
}
if !reached_fixpoint {
// Record iterations even on failure for debugging
self.profiler.record_iterations(iteration_count);
return Err(XlogError::Execution(format!(
"Recursive SCC iteration limit ({}) exceeded",
self.config.max_iterations
)));
}
Ok(())
}
/// Execute a Fixpoint node using semi-naive evaluation
///
/// The semi-naive algorithm avoids redundant computation in recursive queries:
///
/// 1. **Initialize:**
/// - Compute base case: `R = base_result`
/// - Set delta to base: `delta = R`
/// - Store both `R` and `delta` in RelationStore
///
/// 2. **Iterate until fixpoint:**
/// - Compute new tuples: `delta_new = recursive_result` using current `delta`
/// - Remove already-known tuples: `delta_new = delta_new - R`
/// - If `delta_new` is empty, we have reached fixpoint
/// - Otherwise: `R = R union delta_new`, `delta = delta_new`
///
/// 3. **Return:** Final `R`
///
/// # Arguments
/// * `scc_id` - SCC identifier for logging/debugging
/// * `base` - Base case RIR tree (non-recursive facts/rules)
/// * `recursive` - Recursive RIR tree (references delta relation)
/// * `delta_rel` - RelId for delta relation
/// * `full_rel` - RelId for full relation
///
/// # Returns
/// A CudaBuffer containing the final fixpoint result
///
/// # Errors
/// Returns an error if iteration limit is exceeded
pub(super) fn execute_fixpoint(
&mut self,
scc_id: u32,
base: &RirNode,
recursive: &RirNode,
delta_rel: RelId,
full_rel: RelId,
) -> Result<CudaBuffer> {
// Step 1: Compute base case R = eval(base)
let r_initial = self.execute_node(base)?;
// Handle empty base case using device-resident row count
if self.buffer_row_count(&r_initial)? == 0 {
return Ok(r_initial);
}
// Step 2: Initialize delta = R (clone the base result)
let delta_initial = self.clone_buffer(&r_initial)?;
// Get relation names for delta and full relations
let delta_name = self.get_or_create_rel_name(delta_rel, &format!("__delta_{}", scc_id));
let full_name = self.get_or_create_rel_name(full_rel, &format!("__full_{}", scc_id));
// Store initial R and delta in relation store
self.store_put(&full_name, r_initial);
self.store_put(&delta_name, delta_initial);
// Step 3: Iterate until fixpoint
for _iteration in 0..Self::MAX_FIXPOINT_ITERATIONS {
// Evaluate recursive step using current delta
// The recursive RIR tree should reference delta_rel internally
let delta_new_raw = self.execute_node(recursive)?;
// Get current R for set difference
let current_r = self.store.get(&full_name).ok_or_else(|| {
XlogError::Execution(format!(
"Full relation {} not found during fixpoint iteration",
full_name
))
})?;
// Compute delta_new = delta_new_raw - R (remove already-known tuples)
let delta_new = self.provider.diff_gpu(&delta_new_raw, current_r)?;
// Check for fixpoint: if delta_new is empty, we are done
if self.buffer_row_count(&delta_new)? == 0 {
// Fixpoint reached - return final R
let final_r = self.store_remove(&full_name).ok_or_else(|| {
XlogError::Execution("Full relation lost during fixpoint".to_string())
})?;
// Clean up delta relation
self.store_remove(&delta_name);
return Ok(final_r);
}
// Not at fixpoint yet: R = R union delta_new
let new_r = self.provider.union_gpu(current_r, &delta_new)?;
// Update relations for next iteration
// delta = delta_new (the newly discovered tuples)
self.store_put(&delta_name, delta_new);
self.store_put(&full_name, new_r);
}
// Iteration limit exceeded
Err(XlogError::Execution(format!(
"Fixpoint iteration limit ({}) exceeded for SCC {}",
Self::MAX_FIXPOINT_ITERATIONS,
scc_id
)))
}
}