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dfa_framework.py
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from collections import deque
from dataclasses import dataclass
from typing import Callable, Dict, Generic, Iterable, Set, TypeVar, List
from node import Node
import graphviz # type: ignore
T = TypeVar("T")
class DataFlowAnalysis(Generic[T]):
entry_node: Node
in_sets: Dict[str, T]
out_sets: Dict[str, T]
transfer_function: Callable[[Node, T], T]
merge_function: Callable[[List[T]], T]
visualize_mode: bool # If true, track vizualized dot graph of each iter
dot_graphs: List[str] = [] # List of dot graphs for each iter
def __init__(
self: "DataFlowAnalysis",
entry_node: Node,
in_sets: Dict[str, T],
out_sets: Dict[str, T],
transfer_function: Callable[[Node, T], T],
merge_function: Callable[[List[T]], T],
visualize_mode: bool = False,
) -> None:
self.entry_node = entry_node
self.in_sets = in_sets
self.out_sets = out_sets
self.transfer_function = transfer_function
self.merge_function = merge_function
self.visualize_mode = visualize_mode
def run(self: "DataFlowAnalysis") -> None:
# Init worklist with all nodes in CFG
seen: Set[str] = set()
q: deque[Node] = deque([self.entry_node])
worklist: deque[Node] = deque()
while q:
node = q.popleft()
if node.id not in seen:
seen.add(node.id)
worklist.append(node)
for succ in node.successors:
q.append(succ)
iters = 0
while worklist:
node = worklist.popleft()
in_set: T = self.in_sets[node.id]
out_set: T = self.out_sets[node.id]
new_in_set: T = self.merge_function(
[self.out_sets[pred.id] for pred in node.predecessors]
)
new_out_set: T = self.transfer_function(node, in_set)
if new_in_set != in_set or new_out_set != out_set:
self.in_sets[node.id] = new_in_set
self.out_sets[node.id] = new_out_set
worklist.extend(node.successors)
iters += 1
if self.visualize_mode:
self.dot_graphs.append(self.visualize())
print(f"Ran {iters} iterations")
def visualize(self: "DataFlowAnalysis") -> str:
"""Visualize a dataflow analysis on CFG using graphviz.
Paste output in https://edotor.net/ for a pretty diagram"""
import briltxt # type: ignore
g = graphviz.Digraph()
g.attr("node", shape="none") # Remove border around nodes
# init cfg_nodes as all nodes reachable from entry_node
seen: Set[str] = set()
q: deque[Node] = deque([self.entry_node])
cfg_nodes: List[Node] = []
while q:
node = q.popleft()
if node.id not in seen:
seen.add(node.id)
cfg_nodes.append(node)
for succ in node.successors:
q.append(succ)
# init nodes in graphviz
for node in cfg_nodes:
node_label = (
briltxt.instr_to_string(node.instr)
if "op" in node.instr
else f"LABEL {node.instr.get('label')}"
)
in_set_label = self.in_sets[node.id]
out_set_label = (
"~"
if self.in_sets[node.id] == self.out_sets[node.id]
else self.out_sets[node.id]
)
table_html = f'<<table border="0" cellborder="1" cellspacing="0"><tr><td><b>{in_set_label}</b></td></tr><tr><td>{node_label}</td></tr><tr><td><b>{out_set_label}</b></td></tr></table>>'
g.node(
node.id,
table_html,
)
# key: node id
# value: 0 = unvisited, -1 = visiting, 1 = visited
visit_state: Dict[str, int] = {node.id: 0 for node in cfg_nodes}
q = deque(cfg_nodes)
while len(q) > 0:
node = q.pop()
if visit_state[node.id] == 1: # Already visited
continue
elif visit_state[node.id] == -1: # Loop
visit_state[node.id] = 1
else:
for next_node in node.successors:
g.edge(node.id, next_node.id)
if visit_state[next_node.id] == 1:
q.append(next_node)
visit_state[next_node.id] = -1
# print(g.source)
return g.source