def __init__(self, state_word_len, variables):
""" Initialize the internal helper class. """
self.state_word_len = state_word_len
self.variables = variables
variable_names = map(lambda i: 'S%d' % i,
xrange(self.state_word_len))
variable_names += self.variables
self.qm = qm.QM(variable_names)
def main():
n = 3
qm1 = qm.QM([chr(code) for code in xrange(ord('A'),ord('A')+n)])
for minterms in itertools.chain(*(itertools.combinations(range(1<<n),i) for i in xrange(1,1<<n+1))):
minterms = set(minterms)
if max(minterms) == 0:
continue
for dc in itertools.chain(*(itertools.combinations(minterms,i) for i in xrange(0,len(minterms)+1))):
dc = list(dc)
ones = list(minterms - set(dc))
check = qm1.solve(ones,dc)
correct = qm_orig.qm(ones=ones,dc=dc)
if not eq(check, correct, dc):
print 'ERROR',ones,dc,t(check, n),qm1.get_function(check[1]),correct,check
def get_canonical_minimal_sop_from_string(boolean_string, boolean_variables):
'''Returns the full minimal canonical form for all the variables
passed, given the string, or simply '0' if the string always evaluates
to False.
>>> get_canonical_minimal_sop_from_string('A AND (B OR C)', ['A', 'B', 'C'])
[(3, 4), (5, 2)]
'''
min_terms = get_minterms_from_string(boolean_string, boolean_variables)
_qm = qm.QM(boolean_variables)
minimal_sop = _qm.solve(min_terms, [])
return minimal_sop[1]
def Getfunc(inputlist,
output,
onlist,
prefix='n',
suffix='n',
equal_sign='*='):
'''
Return a Boolean regulatory rule in the disjuctive normal form (in the format of Booleannet)
based on given truth table.
For more details about Booleannet, refer to https://github.com/ialbert/booleannet.
It is essentially a wrapper for the Quine-McCluskey algorithm to meet the format of Booleannet.
Parameters
----------
inputlist : a list of nodenames of all the parent nodes/ regulators
output : the nodename of the child node
onlist : a list of all configurations(strings) that will give a ON state of the output based on rule
e.g. the onlist of C = A OR B will be ['11','10','01']
prefix='n': prefix to encode the node name to avoid one node's name is a part of another node's name
suffix='n': suffix to encode the node name to avoid one node's name is a part of another node's name
e.g. node name '1' will become 'n1n' in the returned result
equal_sign: the equal sign of the rule in the returned result, whose default value follows the Booleannet format
Returns
-------
The Boolean rule in the disjuctive normal form.
References
----------
QM code by George Prekas.
'''
#pre-processing to meet the format requirement of QM and Booleannet
inputs = [prefix + str(x) + suffix for x in inputlist]
inputs.reverse()
output = prefix + str(output) + suffix + equal_sign
onindexlist = [int(x, 2) for x in onlist]
if len(inputs) > 0:
qmtemp = qm.QM(inputs)
temprule = qmtemp.get_function(qmtemp.solve(onindexlist, [])[1])
temprule = temprule.replace('AND', 'and')
temprule = temprule.replace('OR', 'or')
temprule = temprule.replace('NOT', 'not')
else:
temprule = output[:-2]
return output + temprule + '\n'
def minimize(Equations):
Max = {}
for name in Equations:
Max[name] = max(Equations[name])
minimized = {}
for name in sorted(Equations):
minimized[name] = {}
for value in Equations[name]:
Eq = Equations[name][value]
names = [name] + sorted(Eq.variables())
if any([max(Equations[n]) > 1 for n in names]):
minimized[name][value] = 'Non-Boolean'
continue
# sum notation for QM input
names = sorted(Eq.variables())
ones = []
size = len(names)
for i, y in enumerate(itertools.product(*size * [[0, 1]])):
y = dict(zip(names, y))
if Eq(y): ones.append(i)
# run QM
rev = names[:]
rev.reverse()
solver = qm.QM(rev)
minterms = solver.compute_primes(ones)
dcs = []
f = solver.get_function(solver.solve(ones, dcs)[1])
f = f.replace(' AND ', ' & ')
f = f.replace(' OR ', ' | ')
f = f.replace('NOT', '!')
if f[0] == '(' and f[-1] == ')': f = f[1:-1]
minimized[name][value] = f
return minimized
def _solve( Equation, Max, Minimize ):
# one boolean variable for each threshold
BooleanVariables = []
for name in Equation.variables():
for v in range(Max[name]+1): # for v in range(1,Max[name]+1):
BooleanVariables.append( '%s=%i'%(name,v) )
size = len(Equation.variables())
# sum notation for QM input
ones = []
dcs = []
for i,y in enumerate(itertools.product(*len(BooleanVariables)*[[0,1]])):
y = zip(BooleanVariables,y)
# boolean state to multi value state
valid = True
x = {}
for atom, state in y:
if state:
name, value = atom.split('=')
value = int(value)
if name in x:
valid = False
break
x[name] = value
if not len(x)==size:
valid=False
if not valid:
dcs.append(i)
pass
elif Equation(x):
ones.append(i)
# run QM
rev = BooleanVariables[:]
rev.reverse()
solver = qm.QM( rev )
minterms = solver.compute_primes(ones+dcs)
if Minimize:
minimized = solver.get_function( solver.solve( ones,dcs )[1] )
minimized = minimized.replace(' AND ',' & ')
minimized = minimized.replace(' OR ',' | ')
minimized = minimized.replace('NOT','!')
return minimized
# convert minterms to primes
primes = []
for i,minterm in enumerate(minterms):
print '---'
options = {} #dict([(name,range(Max[name]+1)) for name in Equation.variables()])
valid = True
m = []
for j in xrange(len(rev)):
name, value = rev[j].split('=')
value = int(value)
if minterm[0] & 1<<j:# non-negated literal
#prime[rev[j]]=1
m.append('%s==%i'%(name,value))
if options.has_key(name):# invalid prime
if not value in options[name]:
print 'invalid 1'
valid=False
options[name]=[value]
elif not minterm[1] & 1<<j:# negated literal
#prime[rev[j]]=0
m.append('%s!=%i'%(name,value))
if not options.has_key(name): options[name]=range(Max[name]+1)
options[name] = [k for k in options[name] if not k==value]
if not options[name]:
valid=False
print 'invalid 2'
print 'minterm:',','.join(sorted(m))
if not valid: continue
print 'options:',options.items()
names = sorted(options)
ranges = [options[k] for k in names]
for p in itertools.product( *ranges ):
p = dict(zip(names,p))
if p not in primes:
primes.append( p )
for p in primes:
print p
return primes
options = {} #dict([(name,range(Max[name]+1)) for name in Equation.variables()])
valid = True
m = []
for j in xrange(len(rev)):
name, value = rev[j].split('=')
value = int(value)
if minterm[0] & 1<<j:# non-negated literal
#prime[rev[j]]=1
m.append('%s==%i'%(name,value))
if options.has_key(name):# invalid prime
if not value in options[name]:
valid=False
options[name]=[value]
elif not minterm[1] & 1<<j:# negated literal
#prime[rev[j]]=0
m.append('%s!=%i'%(name,value))
if not options.has_key(name): options[name]=range(Max[name]+1)
options[name] = [k for k in options[name] if not k==value]
print ','.join(sorted(m))
if not valid: continue
names = sorted(options)
ranges = [options[k] for k in names]
if i==5:
for k in options:
print k,options[k]
for p in itertools.product( *ranges ):
p = dict(zip(names,p))
if p not in primes:
primes.append( p )