def aso(self):
from _or import OR
from implies import IMPLIES
from until import UNTIL
from release import RELEASE
from _finally import FINALLY
from globally import GLOBALLY
from next import NEXT
result = list()
if isinstance(self.operand1, (AND, OR, IMPLIES)) and not isinstance(self.operand1, AND):
result += [self.operand1.__class__(self.operand1.operand1, AND(self.operand1.operand2, self.operand2))]
if isinstance(self.operand2, (AND, OR, IMPLIES)) and not isinstance(self.operand2, AND):
result += [self.operand2.__class__(AND(self.operand1, self.operand2.operand1), self.operand2.operand2)]
if isinstance(self.operand1, (UNTIL, RELEASE)):
result += [self.operand1.__class__(self.operand1.operand1, AND(self.operand1.operand2, self.operand2),
self.operand1.lower_bound, self.operand1.upper_bound)]
if isinstance(self.operand2, (UNTIL, RELEASE)):
result += [self.operand2.__class__(AND(self.operand1, self.operand2.operand1), self.operand2.operand2,
self.operand2.lower_bound, self.operand2.upper_bound)]
if isinstance(self.operand1, (FINALLY, GLOBALLY)):
result += [self.operand1.__class__(AND(self.operand1.operand1, self.operand2), self.operand1.lower_bound,
self.operand1.upper_bound)]
if isinstance(self.operand2, (FINALLY, GLOBALLY)):
result += [self.operand2.__class__(AND(self.operand1, self.operand2.operand1), self.operand2.lower_bound,
self.operand2.upper_bound)]
if isinstance(self.operand1, NEXT):
result += [NEXT(AND(self.operand1.operand1, self.operand2), self.operand1.lower_bound)]
if isinstance(self.operand2, NEXT):
result += [NEXT(AND(self.operand1, self.operand2.operand1), self.operand2.lower_bound)]
return result + [AND(y, self.operand2) for y in self.operand1.aso() if not y == self.operand2] \
+ [AND(self.operand1, y) for y in self.operand2.aso() if not y == self.operand1]
def lro(self):
from _or import OR
from implies import IMPLIES
return [OR(self.operand1, self.operand2), OR(self.operand1, self.operand2),
IMPLIES(self.operand1, self.operand2), IMPLIES(self.operand1, self.operand2)] \
+ [AND(y, self.operand2) for y in self.operand1.lro() if not y == self.operand2] \
+ [AND(self.operand1, y) for y in self.operand2.lro() if not y == self.operand1]
def lro(self):
from _or import OR
from _and import AND
return [OR(self.operand1, self.operand2), OR(self.operand1, self.operand2),
AND(self.operand1, self.operand2), AND(self.operand1, self.operand2)] \
+ [IMPLIES(y, self.operand2) for y in self.operand1.lro() if not y == self.operand2] \
+ [IMPLIES(self.operand1, y) for y in self.operand2.lro() if not y == self.operand1]
def ufc_minus(self):
from until import UNTIL
from _and import AND
from _not import NOT
return [UNTIL(AND(self.operand1, NOT(self.operand2)),
AND(y, NOT(self.operand2)), self.lower_bound, self.upper_bound)
for y in self.operand1.ufc_minus()] \
+ [UNTIL(AND(self.operand1, NOT(self.operand2)),
AND(y, NOT(UNTIL(self.operand1, self.operand2, self.lower_bound, self.upper_bound))),
self.lower_bound, self.upper_bound) for y in self.operand2.ufc_minus()]
def nextnormalform(self, ininterval=0):
from _or import OR
from _and import AND
from next import NEXT
if self.lower_bound == 0 and self.upper_bound == 0:
return self.operand2.nextnormalform(ininterval)
elif (self.lower_bound == 0 and (not self.upper_bound == 0)
and ininterval % 2 == 0):
return OR(self.operand2.nextnormalform(ininterval), AND(self.operand1.nextnormalform(ininterval), AND(
NEXT(self.operand1.nextnormalform(ininterval + 1), 0.5),
OR(NEXT(self.operand2.nextnormalform(ininterval + 1), 0.5),
NEXT(UNTIL(self.operand1, self.operand2, 0, self.upper_bound - 1).nextnormalform(ininterval), 1)))))
elif (self.lower_bound == 0 and (not self.upper_bound == 0)
and ininterval % 2 == 1):
return OR(self.operand2.nextnormalform(ininterval), AND(self.operand1.nextnormalform(ininterval), OR(
NEXT(self.operand2.nextnormalform(ininterval + 1), 0.5),
AND(NEXT(self.operand1.nextnormalform(ininterval + 1), 0.5),
AND(NEXT(self.operand1.nextnormalform(ininterval), 1),
NEXT(UNTIL(self.operand1, self.operand2, 0, self.upper_bound - 1).nextnormalform(ininterval),
1))))))
elif ((not self.lower_bound == 0) and (not self.upper_bound == 0)
and ininterval % 2 == 0):
return AND(self.operand1.nextnormalform(ininterval),
AND(NEXT(self.operand1.nextnormalform(ininterval + 1), 0.5), NEXT(
UNTIL(self.operand1, self.operand2, self.lower_bound - 1,
self.upper_bound - 1).nextnormalform(ininterval), 1)))
elif ((not self.lower_bound == 0) and (not self.upper_bound == 0)
and ininterval % 2 == 1):
return AND(self.operand1.nextnormalform(ininterval),
AND(NEXT(self.operand1.nextnormalform(ininterval + 1), 0.5),
AND(NEXT(self.operand1.nextnormalform(ininterval), 1), NEXT(
UNTIL(self.operand1, self.operand2, self.lower_bound - 1,
self.upper_bound - 1).nextnormalform(ininterval), 1))))
def picc(self):
from _and import AND
from _not import NOT
from _or import OR
return [UNTIL(AND(self.operand1, NOT(self.operand2)),
AND(y, OR(self.operand2, UNTIL(self.operand1, self.operand2,
self.lower_bound, self.upper_bound))),
self.lower_bound, self.upper_bound) for y in self.operand1.picc()] \
+ [UNTIL(AND(self.operand1, NOT(self.operand2)),
AND(y, OR(self.operand2, UNTIL(self.operand1, self.operand2,
self.lower_bound, self.upper_bound))),
self.lower_bound, self.upper_bound) for y in self.operand2.picc()]
def tio(self, lower_bound=None, upper_bound=None):
from _finally import FINALLY
from globally import GLOBALLY
from next import NEXT
return [AND(FINALLY(self.operand1, lower_bound, upper_bound), self.operand2),
AND(self.operand1, FINALLY(self.operand2, lower_bound, upper_bound)),
AND(GLOBALLY(self.operand1, lower_bound, upper_bound), self.operand2),
AND(self.operand1, GLOBALLY(self.operand2, lower_bound, upper_bound)),
AND(NEXT(self.operand1, upper_bound), self.operand2),
AND(self.operand1, NEXT(self.operand2, upper_bound))] \
+ [AND(y, self.operand2) for y in self.operand1.tio(lower_bound, upper_bound) if not y == self.operand2] \
+ [AND(self.operand1, y) for y in self.operand2.tio(lower_bound, upper_bound) if not y == self.operand1]
def ufc_minus(self):
from until import UNTIL
from _not import NOT
from _and import AND
from globally import GLOBALLY
return [
UNTIL(
NOT(self.operand1),
AND(
y,
GLOBALLY(NOT(self.operand1), self.lower_bound,
self.upper_bound)), self.lower_bound,
self.upper_bound) for y in self.operand1.ufc_minus()
]
def picc(self):
from until import UNTIL
from _not import NOT
from _and import AND
from _or import OR
return [
UNTIL(
NOT(self.operand1),
AND(
y,
OR(
self.operand1,
FINALLY(self.operand1, self.lower_bound,
self.upper_bound))), self.lower_bound,
self.upper_bound) for y in self.operand1.picc()
]
def negationnormalform(self):
from ap import ap_true, ap_false, AP
from _or import OR
from _and import AND
from implies import IMPLIES
from next import NEXT
if isinstance(self.operand1, AP):
if self.operand1 == ap_true:
return ap_false
elif self.operand1 == ap_false:
return ap_true
elif self.operand1.operator is None: # Boolean AP
return self
elif self.operand1.operator == ge:
return AP(None, self.operand1.c, lt, self.operand1.b,
self.operand1.variables)
elif self.operand1.operator == gt:
return AP(None, self.operand1.c, le, self.operand1.b,
self.operand1.variables)
elif self.operand1.operator == le:
return AP(None, self.operand1.c, gt, self.operand1.b,
self.operand1.variables)
elif self.operand1.operator == lt:
return AP(None, self.operand1.c, ge, self.operand1.b,
self.operand1.variables)
elif self.operand1.operator == eq:
return AP(None, self.operand1.c, ne, self.operand1.b,
self.operand1.variables)
elif self.operand1.operator == ne:
return AP(None, self.operand1.c, eq, self.operand1.b,
self.operand1.variables)
elif isinstance(self.operand1, AND):
return OR(
NOT(self.operand1.operand1).negationnormalform(),
NOT(self.operand1.operand2).negationnormalform())
elif isinstance(self.operand1, OR):
return AND(
NOT(self.operand1.operand1).negationnormalform(),
NOT(self.operand1.operand2).negationnormalform())
elif isinstance(self.operand1, IMPLIES):
return NOT(self.operand1.negationnormalform()).negationnormalform()
elif isinstance(self.operand1, NOT):
return self.operand1.operand1.negationnormalform()
elif isinstance(self.operand1, NEXT):
return NEXT(
NOT(self.operand1.operand1).negationnormalform(),
self.operand1.lower_bound)
def mco(self):
from ap import AP
result = list()
if isinstance(self.operand1, AP):
result += [self.operand2] + [AND(y, self.operand2) for y in self.operand1.mco()] \
+ [AND(self.operand1, y) for y in self.operand2.mco()]
if isinstance(self.operand2, AP):
result += [self.operand1] + [AND(y, self.operand2) for y in self.operand1.mco()] \
+ [AND(self.operand1, y) for y in self.operand2.mco()]
if not (isinstance(self.operand1, AP) or isinstance(self.operand2, AP)):
result += [AND(y, self.operand2) for y in self.operand1.mco()] \
+ [AND(self.operand1, y) for y in self.operand2.mco()]
return result
def oro(self, atomic_props):
return [AND(y, self.operand2) for y in self.operand1.oro(atomic_props) if not y == self.operand2] \
+ [AND(self.operand1, y) for y in self.operand2.oro(atomic_props) if not y == self.operand1]
def ano(self):
return [AND(y, self.operand2) for y in self.operand1.ano() if not y == self.operand2] \
+ [AND(self.operand1, y) for y in self.operand2.ano() if not y == self.operand1]
def mto(self):
return [AND(y, self.operand2) for y in self.operand1.mto()] \
+ [AND(self.operand1, y) for y in self.operand2.mto()]
def ufc_minus(self):
from _and import AND
from _not import NOT
return [AND(y, NOT(self.operand2)) for y in self.operand1.ufc_minus()] \
+ [AND(NOT(self.operand1), y) for y in self.operand2.ufc_minus()]
def adjust(self, c):
""" Adjusts formula to a given step width c by dividing all interval bounds by c. """
return AND(self.operand1.adjust(c), self.operand2.adjust(c))
def picc(self):
from _and import AND
from _not import NOT
return [AND(y, NOT(self.operand2)) for y in self.operand1.picc()] \
+ [AND(NOT(self.operand1), y) for y in self.operand2.picc()]
def ufc_minus(self):
return [AND(y, self.operand2) for y in self.operand1.ufc_minus()] \
+ [AND(self.operand1, y) for y in self.operand2.ufc_minus()]
def picc(self):
from _and import AND
return [AND(y, self.operand2) for y in self.operand1.picc()] \
+ [AND(self.operand1, y) for y in self.operand2.picc()]
def eno(self):
from _not import NOT
return [NOT(self)] + [AND(y, self.operand2) for y in self.operand1.eno()] \
+ [AND(self.operand1, y) for y in self.operand2.eno()]
def picc(self):
from until import UNTIL
from _and import AND
return [UNTIL(self.operand1, AND(y, GLOBALLY(self.operand1, self.lower_bound, self.upper_bound)),
self.lower_bound, self.upper_bound) for y in self.operand1.picc()]
def XOR(x1, x2):
s1 = NAND(x1, x2)
s2 = OR(x1, x2)
y = AND(s1, s2)
return y
def sto(self, onezero):
return [AND(y, self.operand2) for y in self.operand1.sto(onezero) if not y == self.operand2] \
+ [AND(self.operand1, y) for y in self.operand2.sto(onezero) if not y == self.operand1]