def __call__(self, *args, **kwds):
if args and kwds:
raise TypeError("You can pass either positional or keyword "
"arguments, but not both.")
elif len(args or kwds) != self.dimension:
raise TypeError("You must pass exactly {} "
"value(s) ({} given).".format(self.dimension,
len(args or kwds)))
elif not args and tuple(sorted(iterkeys(kwds))) != self.letters:
diff_set = set(iterkeys(kwds)) - set(self.letters)
diff_joint = "', '".join(diff_set)
raise TypeError("Invalid letter(s): '{}'".format(diff_joint))
if args:
for i, l in enumerate(self.letters):
kwds[l] = args[i]
if any(not isinstance(v, numbers.Number) for v in itervalues(kwds)):
sorted_list = sorted(v for v in itervalues(kwds)\
if not isinstance(v, numbers.Number))
inv_joint = "', '".join(sorted_list)
raise TypeError("Invalid value for letter(s): "
"'{}'".format(inv_joint))
if not self:
return 0
elif self.is_constant():
return sum(m[0] for m in self._monomials)
return sum(c * functools.reduce(operator.mul,
(kwds[x] ** l[x] for x in l), 1)\
for c, l in self._monomials)
def is_square(m):
if m[0] < 0:
return False
sqrt_c = m[0] ** 0.5
is_square_c = sqrt_c == int(sqrt_c)
is_square_l = all(not d % 2 for d in itervalues(m[1]))
return is_square_c and is_square_l
def is_square(m):
sqrt_c = abs(m[0]) ** 0.5
is_square_c = sqrt_c == int(sqrt_c)
is_square_l = all(not d % 2 for d in itervalues(m[1]))
return is_square_c and is_square_l
def all_monomial_degrees(self):
if not self:
return ()
return tuple(sum(itervalues(m[1])) for m in self._monomials)
