Задача 6. Преобразование грамматики в ОНФХ, алгоритм Хеллингса

project/cfg_utils.py

@@ -0,0 +1,18 @@
+from pyformlang.cfg import CFG, Production, Epsilon
+
+
+def cfg_to_weak_normal_form(cfg: CFG) -> CFG:
+    cnf = cfg.to_normal_form()
+    cnf_productions = cnf.productions
+
+    cfg_nullable_symbols = cfg.get_nullable_symbols()
+
+    wcnf_productions = set()
+
+    for production in cnf_productions:
+        wcnf_productions.add(production)
+
+    for sym in cfg_nullable_symbols:
+        wcnf_productions.add(Production(sym, [Epsilon()], filtering=False))
+
+    return CFG(start_symbol=cfg.start_symbol, productions=wcnf_productions)

project/cfpq.py

@@ -0,0 +1,60 @@
+from pyformlang.cfg import CFG, Terminal
+import networkx as nx
+
+from project.cfg_utils import cfg_to_weak_normal_form
+
+
+def hellings_based_cfpq(
+    cfg: CFG,
+    graph: nx.DiGraph,
+    start_nodes: set[int] = None,
+    final_nodes: set[int] = None,
+) -> set[tuple[int, int]]:
+    wcnf = cfg_to_weak_normal_form(cfg)
+    wcnf_productions = wcnf.productions
+    wcnf_nullable_symbols = wcnf.get_nullable_symbols()
+
+    m = set()
+    r = set()
+
+    edges = graph.edges(data="label")
+
+    for u, v, label in edges:
+        for production in wcnf_productions:
+            if [Terminal(label)] == production.body:
+                m.add((production.head, u, v))
+                r.add((production.head, u, v))
+
+    for node in graph.nodes:
+        for sym in wcnf_nullable_symbols:
+            m.add((sym, node, node))
+            r.add((sym, node, node))
+
+    while m:
+        (N, a, b) = m.pop()
+        for M, c, d in r.copy():
+            if b == c:
+                for production in wcnf_productions:
+                    if [N, M] == production.body:
+                        tr = (production.head, a, d)
+                        if tr not in r:
+                            m.add(tr)
+                            r.add(tr)
+            if a == d:
+                for production in wcnf_productions:
+                    if [M, N] == production.body:
+                        tr = (production.head, c, b)
+                        if tr not in r:
+                            m.add(tr)
+                            r.add(tr)
+
+    result = set()
+    for N, a, b in r:
+        if (
+            N == wcnf.start_symbol
+            and (not start_nodes or a in start_nodes)
+            and (not final_nodes or b in final_nodes)
+        ):
+            result.add((a, b))
+
+    return result

tests/autotests/rpq_template_test.py

@@ -6,7 +6,7 @@
 from typing import Callable, Iterable
 
 try:
-    from project.task4 import ms_bfs_based_rpq
+    from project.rpq import ms_bfs_based_rpq
 except ImportError:
     pass
 

tests/autotests/test_task06.py

@@ -9,7 +9,7 @@
 
 # Fix import statements in try block to run tests
 try:
-    from project.task6 import hellings_based_cfpq
+    from project.cfpq import hellings_based_cfpq
 except ImportError:
     pytestmark = pytest.mark.skip("Task 6 is not ready to test!")
 
@@ -30,8 +30,8 @@ def test_different_grammars_hellings(self, graph, eq_grammars):
 
 def test_cfg_to_weak_normal_form_exists():
     try:
-        import project.task6
+        import project.cfg_utils
 
-        assert "cfg_to_weak_normal_form" in dir(project.task6)
+        assert "cfg_to_weak_normal_form" in dir(project.cfg_utils)
     except NameError:
         assert False