def __iter__(self):
if self.root.isZero():
yield Monom.zero
elif self.root.isOne():
yield Monom.one
else:
monom, path = [], []
i = self.root
while i.var >= 0:
monom.append(i.var)
path.append(i)
i = i.mul
yield Monom(vars=monom)
while path:
while path and path[-1].add.isZero():
path.pop()
monom.pop()
if path:
i = path.pop().add
monom.pop()
while i != ZDD._one:
monom.append(i.var)
path.append(i)
i = i.mul
if monom == []:
yield Monom.one
break
yield Monom(vars=monom)
def setUp(self):
Monom.size = 4
self.variables = (
Monom(vars=[0]), # a
Monom(vars=[1]), # b
Monom(vars=[2]), # c
Monom(vars=[3]), # d
)
def test_lm(self):
a, b, c, d = self.B.gens
m_abc = Monom((1, 1, 1, 0))
m_b = Monom((0, 1, 0, 0))
_1 = self.B.one
f = a*b*c + c*d + a*b + _1
g = c*d + b
self.assertEqual(f.lm(), m_abc)
self.assertEqual(g.lm(), m_b)
class Element:
def __init__(self, element):
self.element = element
self.char_dict = {}
self.index = 0
def split_element(self):
for x in self.element:
if x == '^':
self.index = 1
self.check_element(x)
return self.char_dict
def check_element(self, char):
if self.index == 1:
if char == '^':
pass
elif 'power' in self.char_dict:
self.char_dict['power'] += char
else:
self.char_dict['power'] = char
elif char.isdigit():
if 'coeff' in self.char_dict:
self.char_dict['coeff'] += char
else:
self.char_dict['coeff'] = char
else:
self.char_dict['value'] = char
def edit_element(self):
self.split_element()
if not 'coeff' in self.char_dict:
self.char_dict['coeff'] = 1
if not 'value' in self.char_dict:
self.char_dict['value'] = 'x'
self.char_dict['power'] = 0
else:
if not 'power' in self.char_dict:
self.char_dict['power'] = 1
def return_monom(self):
self.edit_element()
self.monom = Monom(int(self.char_dict['coeff']), self.char_dict[
'value'], int(self.char_dict['power']))
self.monom.derivative()
return self.monom
def test_mul_monom(self):
a, b, c, d = self.B.gens
m_a = Monom((1, 0, 0, 0))
p = a*b + b + c
r = p * m_a
self.assertEqual(r, a*c)
def test_add_monom(self):
a, b, c, d = self.B.gens
m_ab = Monom((1, 1, 0, 0))
p = a*b + b + c
r = p + m_ab
self.assertEqual(r, b + c)
def test_init(self):
a, b, c, d = self.B.gens
z1 = ZDD(1)
self.assertEqual(z1, b)
m = Monom((1, 1, 1, 1))
z = ZDD(monom=m)
self.assertEqual(z, a*b*c*d)
def test_init(self):
abcd = Monom((1, 1, 1, 1))
ab = Monom(vars=[0, 1])
abc = Monom(vars=[0, 1, 2])
c = Monom(vars=[2])
d = Monom(vars=[3])
_0 = Monom()
self.assertEqual(abcd, (1, 1, 1, 1))
self.assertEqual(abc, (1, 1, 1, 0))
self.assertEqual(ab, (1, 1, 0, 0))
self.assertEqual(c, (0, 0, 1, 0))
self.assertEqual(d, (0, 0, 0, 1))
self.assertTrue(_0.isZero())
def lm(self):
if self.root.isZero():
return Monom.zero
elif self.root.isOne():
return Monom.one
else:
if self._lm is None:
monom = []
i = self.root
while i.var >= 0:
monom.append(i.var)
i = i.mul
self._lm = Monom(vars=monom)
return self._lm
def __init__(self, n, poly_type="list"):
Monom.size = n
if poly_type == "list":
Poly.ring = self
self.one = Poly.one
self.zero = Poly.zero
self.gens = [Poly([Monom(vars=[i])]) for i in range(n)]
elif poly_type == "zdd":
ZDD.ring = self
one = ZDD()
one.setOne()
zero = ZDD()
zero.setZero()
self.one = one
self.zero = zero
self.gens = [ZDD(i) for i in range(n)]
def return_monom(self):
self.edit_element()
self.monom = Monom(int(self.char_dict['coeff']), self.char_dict[
'value'], int(self.char_dict['power']))
self.monom.derivative()
return self.monom
def test_zero_poly(self):
p1 = Poly([Monom([1, 0, 0, 0])])
p2 = Poly([Monom([1, 0, 0, 0])])
self.assertEqual(p1 + p2, Poly.zero)