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from dataclasses import dataclass, field
from collections import defaultdict
import copy
from torch.fx.graph import Graph
from torch.fx.node import Node
from torch.fx._compatibility import compatibility
import torch.utils._pytree as pytree
from typing import Dict, List, Set, Any
import logging
__all__ = ['SubgraphMatcher', 'InternalMatch']
logger = logging.getLogger(__name__)
@compatibility(is_backward_compatible=False)
@dataclass
class InternalMatch():
# Nodes from which the match was found
anchors: List[Node]
# Maps nodes in the pattern subgraph to nodes in the larger graph
nodes_map: Dict[Node, Node] = field(default_factory=dict)
# nodes in target graph that are matched placeholder in pattern
placeholder_nodes: List[Node] = field(default_factory=list)
# nodes in matched subgraph returned by output
returning_nodes: List[Node] = field(default_factory=list)
def __copy__(self):
return InternalMatch(anchors=self.anchors, nodes_map=self.nodes_map.copy(),
placeholder_nodes=self.placeholder_nodes.copy(),
returning_nodes=self.returning_nodes.copy())
@compatibility(is_backward_compatible=False)
class SubgraphMatcher:
def __init__(self, pattern: Graph,
match_output: bool = False,
match_placeholder: bool = False,
remove_overlapping_matches: bool = True) -> None:
"""
Args:
pattern: the targeted matching pattern, represented in fx.Graph.
match_output: If True, output node in the pattern graph will be treated as a part of the targeted pattern.
If False, output node is ignored during match.
match_placeholder: If True, placeholder node in the pattern graph will be treated as a part of
the targeted pattern. If False, placeholder nodes will be used a wildcard.
remove_overlapping_matches: If True, in the case of overlapping matches, only the first match
will be returned.
"""
self.pattern = pattern
self.match_output = match_output
self.match_placeholder = match_placeholder
self.remove_overlapping_matches = remove_overlapping_matches
if len(pattern.nodes) == 0:
raise ValueError("SubgraphMatcher cannot be initialized with an empty pattern")
for node in pattern.nodes:
if node.op != "output":
assert len(node.users) > 0, \
"SubgraphMatcher cannot be initialized with an pattern with dead code"
# TODO: assert pattern is a connected graph
self.pattern_placeholder_nodes = [n for n in pattern.nodes if n.op == "placeholder"]
output_node = next(iter(reversed(pattern.nodes)))
# nodes returned by outputs
self.pattern_returning_nodes: List[Node] = output_node.all_input_nodes
self.pattern_anchors: List[Node] = []
if match_output:
self.pattern_anchors = [output_node]
else:
# If a node has output_node as the ONLY user, then this node is a graph sink,
# and should be matched against as an anchor
self.pattern_anchors = [n for n in output_node.all_input_nodes if len(n.users) == 1]
def _nodes_are_equal(self, pn: Node, gn: Node) -> bool:
# if exact match for placeholder is not required, then use placeholder as a wildcard
if not self.match_placeholder and pn.op == "placeholder":
return True
if pn.op == gn.op:
if pn.op == "placeholder" or pn.op == "output":
return True
return pn.target == gn.target
return False
def _is_contained(self, nodes_map: Dict[Node, Node]) -> bool:
# `lookup` represents all the nodes in `original_graph`
# that are part of `pattern`
lookup: Dict[Node, Node] = {gn : pn for pn, gn in nodes_map.items()}
for gn, pn in lookup.items():
# Placeholders can be used by other nodes in the graphs
if pn.op == "placeholder":
continue
# nodes returned by output are allowed to be used in other areas of the graph
if pn in self.pattern_returning_nodes:
continue
for user in gn.users:
# If this node has users that were not in `lookup`, then it must leak out of the
# pattern subgraph
if user not in lookup:
return False
return True
def _remove_overlapping_matches(self, matches: List[InternalMatch]) -> List[InternalMatch]:
non_overlapping_matches: List[InternalMatch] = list()
nodes_matched: Set[Node] = set()
for match in matches:
found_overlap = False
for pn, gn in match.nodes_map.items():
if pn.op not in {"placeholder", "output"} and gn in nodes_matched:
found_overlap = True
break
if not found_overlap:
non_overlapping_matches.append(match)
for pn, gn in match.nodes_map.items():
if pn.op not in {"placeholder", "output"}:
nodes_matched.add(gn)
return non_overlapping_matches
def _match_args(self, pn: Any, gn: Any, match: InternalMatch) -> bool:
assert not(isinstance(pn, Node) and isinstance(gn, Node)), "pn and gn cannot both be Node"
if isinstance(pn, Node) and not isinstance(gn, Node):
if pn.op == "placeholder":
# Check if we've already matched these nodes in the current
# traversal
if pn in match.nodes_map:
return match.nodes_map[pn] == gn
match.nodes_map[pn] = gn
return True
else:
return False
elif not isinstance(pn, Node) and isinstance(gn, Node):
return False
else:
return type(gn) == type(pn) and gn == pn
def _match_nodes(self, pn: Node, gn: Node, match: InternalMatch) -> bool:
logger.info(f" matching {pn} to {gn}")
assert isinstance(pn, Node) and isinstance(gn, Node), str(f"pn and gn must be Node, pn: {pn}, gn: {gn}")
# Check if we've already matched these nodes in the current
# traversal
if pn in match.nodes_map:
return match.nodes_map[pn] == gn
# TODO: use a more efficienty way to check if gn is matched before: two-way dict
if gn in match.nodes_map.values():
return False
if not self._nodes_are_equal(pn, gn):
return False
# Optimistically mark `pn` as a match for `gn`, and save a local copy of match
saved_match = copy.copy(match)
match.nodes_map[pn] = gn
if pn.op == "placeholder":
return True
# Recursively traverse upwards to check if `pn` is a true
# match for `gn`
match_found = True
pn_flatten_args, _ = pytree.tree_flatten(pn.args)
gn_flatten_args, _ = pytree.tree_flatten(gn.args)
if pn.kwargs.keys() == gn.kwargs.keys():
for key in pn.kwargs.keys():
pn_flatten_args.append(pn.kwargs[key])
gn_flatten_args.append(gn.kwargs[key])
else:
match_found = False
if match_found and len(pn_flatten_args) == len(gn_flatten_args):
for pn_, gn_ in zip(pn_flatten_args, gn_flatten_args):
if isinstance(gn_, Node) and isinstance(pn_, Node):
matched = self._match_nodes(pn_, gn_, match)
else:
matched = self._match_args(pn_, gn_, match)
if not matched:
match_found = False
break
else:
match_found = False
if not match_found:
# revert to saved_match before matching with current node
match = copy.copy(saved_match)
return False
return True
def match(self, graph: Graph) -> List[InternalMatch]:
"""
Returns:
The matched subgraphs.
Thre returned subgraph would be fully self-contained, meaning the nodes (except placeholder
and nodes returned by output) can only be consumed by nodes within the matched subgraph.
Subgraph pattern matcher is implemented with the backtracking style in the following steps:
1. We first identify all the anchor nodes in the pattern graph. The anchor nodes
are the "sinks" (nodes with no user other than the output node) of the pattern graph.
One pattern graph could have multiple anchors if it has multiple return values.
2. In the target graph, we identify the potential candidate nodes that can be matched
with each anchor. These anchor-candidate pairs are the starting points for
pairwise per-node matching.
3. For each anchor-candidate pair, we simultaneously traverse backwards (DFS) in both
pattern and target graphs. For every pattern nodes along traversal path, we compare it
against the target nodes. In case any comparison failed, the match for this anchor-candidate
pair fails. A match is found when DFS completes traversing the graph. See `self._match_nodes`
for more details.
4. In the case of multiple anchors, every anchor will need to find a match using step 3.
In addition, the matches found between anchors need to have a common intersection node
in order for the match to be valid. This is implemented with backtracking. See `backtracking`
for more details.
Notice: graph traversal must be done in the reverser order because a tensor can have multiple
consumers, but can only have a single producer. Only with reverser order, we can we jointly
traverse the pattern and target graph in a deterministic path.
Warning: In theory, this backtracking algorithm have an **exponential** time complexity. However,
in practice, it's unlikely to blow up.
"""
from torch.fx.passes.utils.fuser_utils import validate_partition
# find candidate nodes to match with pattern anchors
match_candidates: Dict[Node, List[Node]] = defaultdict(list)
for pattern_anchor in self.pattern_anchors:
for node in graph.nodes:
if self._nodes_are_equal(pattern_anchor, node):
match_candidates[pattern_anchor].append(node)
match_candidates_list = list(match_candidates.items())
matches: List[InternalMatch] = []
def backtracking(anchor_index, match):
if anchor_index == len(match_candidates_list):
match.placeholder_nodes = [match.nodes_map[pn] for pn in self.pattern_placeholder_nodes]
match.returning_nodes = [match.nodes_map[pn] for pn in self.pattern_returning_nodes]
matches.append(match)
logger.info(f"Found a match: {match}\n")
return
pattern_anchor, candidate_nodes = match_candidates_list[anchor_index]
saved_match = copy.copy(match)
for node in candidate_nodes:
logger.info(f"Trying to match anchor {pattern_anchor} to {node}")
match_found = self._match_nodes(pattern_anchor, node, match)
if match_found:
# match next anchor
backtracking(anchor_index + 1, match)
else:
logger.info(f"Failed to match anchor {pattern_anchor} to {node}\n")
# revert to saved_match before matching with current anchor
match = copy.copy(saved_match)
match = InternalMatch(anchors=self.pattern_anchors)
backtracking(0, match)
# filter out the matches where the subgraph is not fully_contained
before = len(matches)
matches = [match for match in matches if self._is_contained(match.nodes_map)]
after = len(matches)
if before != after:
logger.info(f"Filtered out {before - after} matches because they are not fully contained")
# filter out the matches that that forms a cycle if the subgraph is fused
valid_matches = []
for match in matches:
matched_compute_nodes = \
[gn for pn, gn in match.nodes_map.items() if pn.op not in {"placeholder", "output"}]
if validate_partition(matched_compute_nodes):
valid_matches.append(match)
if len(valid_matches) != len(matches):
logger.info(f"Filtered out {len(matches) - len(valid_matches)} matches because \
matched subgraph would form a cycle if fused")
if self.remove_overlapping_matches:
before = len(valid_matches)
matches = self._remove_overlapping_matches(valid_matches)
after = len(matches)
if before != after:
logger.info(f"Filtered out {before - after} matches because matched subgraphs are overlapping")
return matches
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