-
Notifications
You must be signed in to change notification settings - Fork 0
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
- Loading branch information
Showing
1 changed file
with
80 additions
and
0 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,80 @@ | ||
# fa_min.py | ||
# Демонстрация работы алгоритма Бржозовского | ||
|
||
Q = 0 | ||
A = 1 | ||
T = 2 | ||
S = 3 | ||
F = 4 | ||
|
||
# Вывод КА в формате свободно распространяемой утилиты graphviz | ||
|
||
def fa_gv(fa, filename): | ||
f = open(filename, 'w') | ||
for i in fa[F]: | ||
f.write('"' + str(fa[Q][i]) + '";') | ||
f.write('\nnode[shape=circle];\n'); | ||
for t1 in range(0, len(fa[Q])): | ||
for a in range(0, len(fa[A])): | ||
for t2 in fa[T][t1][a]: | ||
f.write('"' + str(fa[Q][t1]) +'"' + '->' + '"' + \ | ||
str(fa[Q][t2]) + '"') | ||
f.write('[label="' + str(fa[A][a]) + '"];\n') | ||
f.write('}\n') | ||
f.close() | ||
|
||
# Обращение КА | ||
|
||
def fa_rev(fa): | ||
rfa = [list(fa[Q]), list(fa[A]), [], list(fa[F]), list(fa[S])] | ||
rfa[T] = [[[] for i in range(0, len(fa[A]))] for j in range(0, len(fa[Q]))] | ||
for t1 in range(0, len(fa[Q])): | ||
for a in range(0, len(fa[A])): | ||
for t2 in fa[T][t1][a]: | ||
rfa[T][t2][a].append(t1) | ||
return rfa | ||
|
||
# Детерминизация КА | ||
|
||
def fa_det(fa): | ||
def reachable(q, l): | ||
t = [] | ||
for a in range(0, len(fa[A])): | ||
ts = set() | ||
for i in q[l]: | ||
# объединение множеств (достижимых из l) состояний для символа a | ||
ts |= set(fa[T][i][a]) | ||
if not ts: | ||
t.append([]) | ||
continue | ||
try: | ||
i = q.index(ts) | ||
except ValueError: | ||
i = len(q) | ||
q.append(ts) | ||
t.append([i]) | ||
return t | ||
dfa = [[], list(fa[A]), [], [0], []] | ||
q = [set(fa[S])] | ||
while len(dfa[T]) < len(q): | ||
dfa[T].append(reachable(q, len(dfa[T]))) | ||
dfa[Q] = range(0, len(q)) | ||
dfa[F] = [q.index(i) for i in q if set(fa[F]) & i] | ||
return dfa | ||
|
||
# Алгоритм Бржозовского | ||
|
||
def fa_min(fa): | ||
return fa_det(fa_rev(fa_det(fa_rev(fa)))) | ||
|
||
# Пример работы | ||
|
||
fa = [None]*5 | ||
|
||
fa[Q] = [0, 1] | ||
fa[A] = ['a'] | ||
fa[T] = [[[1]], [[1]]] | ||
fa[S] = [0] | ||
fa[F] = [0, 1] | ||
|
||
fa_gv(fa_min(fa), 'my.out') |