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use graph::{Graph, NodeIndex};
use std::collections::HashMap;
use std::fmt::Debug;
use std::hash::Hash;
use unify::{UnifyKey, UnificationTable, UnionedKeys};
#[cfg(test)]
mod test;
pub struct CongruenceClosure<K: Hash + Eq> {
map: HashMap<K, Token>,
table: UnificationTable<Token>,
graph: Graph<K, ()>,
}
pub trait Key : Hash + Eq + Clone + Debug {
fn to_token(&self) -> Option<Token> {
None
}
fn shallow_eq(&self, key: &Self) -> bool;
fn successors(&self) -> Vec<Self>;
}
#[derive(Copy, Clone, Debug, PartialEq, Eq, PartialOrd, Ord, Hash)]
pub struct Token {
index: u32,
}
impl Token {
fn new(index: u32) -> Token {
Token { index: index }
}
fn from_node(node: NodeIndex) -> Token {
Token { index: node.0 as u32 }
}
fn node(&self) -> NodeIndex {
NodeIndex(self.index as usize)
}
}
impl UnifyKey for Token {
type Value = ();
fn index(&self) -> u32 {
self.index
}
fn from_index(i: u32) -> Token {
Token::new(i)
}
fn tag() -> &'static str {
"CongruenceClosure"
}
}
impl<K: Key> CongruenceClosure<K> {
pub fn new() -> CongruenceClosure<K> {
CongruenceClosure {
map: HashMap::new(),
table: UnificationTable::new(),
graph: Graph::new(),
}
}
pub fn new_token<OP>(&mut self, key_op: OP) -> Token
where OP: FnOnce(Token) -> K
{
let token = self.table.new_key(());
let key = key_op(token);
let node = self.graph.add_node(key);
assert_eq!(token.node(), node);
token
}
pub fn key(&self, token: Token) -> &K {
self.graph.node_data(token.node())
}
pub fn merge(&mut self, key1: K, key2: K) {
let token1 = self.add(key1);
let token2 = self.add(key2);
self.algorithm().merge(token1, token2);
}
pub fn merged(&mut self, key1: K, key2: K) -> bool {
debug!("merged: called({:?}, {:?})", key1, key2);
let token1 = self.add(key1);
let token2 = self.add(key2);
self.algorithm().unioned(token1, token2)
}
pub fn merged_keys(&mut self, key: K) -> MergedKeys<K> {
let token = self.add(key);
MergedKeys {
graph: &self.graph,
iterator: self.table.unioned_keys(token),
}
}
fn add(&mut self, key: K) -> Token {
debug!("add(): key={:?}", key);
let (is_new, token) = self.get_or_add(&key);
debug!("add: key={:?} is_new={:?} token={:?}", key, is_new, token);
if !is_new {
return token;
}
let successors: Vec<Token> = key.successors()
.into_iter()
.map(|s| self.add(s))
.collect();
debug!("add: key={:?} successors={:?}", key, successors);
for successor in successors {
let predecessors: Vec<_> = self.algorithm().all_preds(successor);
debug!("add: key={:?} successor={:?} predecessors={:?}",
key,
successor,
predecessors);
self.graph.add_edge(token.node(), successor.node(), ());
for predecessor in predecessors {
self.algorithm().maybe_merge(token, predecessor);
}
}
token
}
fn get(&self, key: &K) -> Option<Token> {
key.to_token()
.or_else(|| self.map.get(key).cloned())
}
fn get_or_add(&mut self, key: &K) -> (bool, Token) {
if let Some(token) = self.get(key) {
return (false, token);
}
let token = self.new_token(|_| key.clone());
self.map.insert(key.clone(), token);
(true, token)
}
fn algorithm(&mut self) -> Algorithm<K> {
Algorithm {
graph: &self.graph,
table: &mut self.table,
}
}
}
pub struct MergedKeys<'cc, K: Key + 'cc> {
graph: &'cc Graph<K, ()>,
iterator: UnionedKeys<'cc, Token>,
}
impl<'cc, K: Key> Iterator for MergedKeys<'cc, K> {
type Item = K;
fn next(&mut self) -> Option<Self::Item> {
self.iterator
.next()
.map(|token| self.graph.node_data(token.node()).clone())
}
}
struct Algorithm<'a, K: 'a> {
graph: &'a Graph<K, ()>,
table: &'a mut UnificationTable<Token>,
}
impl<'a, K: Key> Algorithm<'a, K> {
fn merge(&mut self, u: Token, v: Token) {
debug!("merge(): u={:?} v={:?}", u, v);
if self.unioned(u, v) {
return;
}
let u_preds = self.all_preds(u);
let v_preds = self.all_preds(v);
self.union(u, v);
for &p_u in &u_preds {
for &p_v in &v_preds {
self.maybe_merge(p_u, p_v);
}
}
}
fn all_preds(&mut self, u: Token) -> Vec<Token> {
let graph = self.graph;
self.table
.unioned_keys(u)
.flat_map(|k| graph.predecessor_nodes(k.node()))
.map(|i| Token::from_node(i))
.collect()
}
fn maybe_merge(&mut self, p_u: Token, p_v: Token) {
debug!("maybe_merge(): p_u={:?} p_v={:?}", p_u, p_v);
if !self.unioned(p_u, p_v) && self.shallow_eq(p_u, p_v) && self.congruent(p_u, p_v) {
self.merge(p_u, p_v);
}
}
fn congruent(&mut self, p_u: Token, p_v: Token) -> bool {
let ss_u: Vec<_> = self.graph.successor_nodes(p_u.node()).collect();
let ss_v: Vec<_> = self.graph.successor_nodes(p_v.node()).collect();
ss_u.len() == ss_v.len() &&
{
ss_u.into_iter()
.zip(ss_v.into_iter())
.all(|(s_u, s_v)| self.unioned(Token::from_node(s_u), Token::from_node(s_v)))
}
}
fn shallow_eq(&self, u: Token, v: Token) -> bool {
let key_u = self.graph.node_data(u.node());
let key_v = self.graph.node_data(v.node());
key_u.shallow_eq(key_v)
}
fn unioned(&mut self, u: Token, v: Token) -> bool {
self.table.unioned(u, v)
}
fn union(&mut self, u: Token, v: Token) {
self.table.union(u, v)
}
}