import numbers
import re
-from collections import OrderedDict, defaultdict
+from collections import OrderedDict, defaultdict, Mapping
from fractions import Fraction, gcd
return Expression.fromstring(coefficients)
if coefficients is None:
return Rational(constant)
- if isinstance(coefficients, dict):
+ if isinstance(coefficients, Mapping):
coefficients = coefficients.items()
for symbol, coefficient in coefficients:
if not isinstance(symbol, Symbol):
if isinstance(coefficient, Rational):
coefficient = coefficient.constant
if not isinstance(coefficient, numbers.Rational):
- raise TypeError('coefficients must be rational numbers '
- 'or Rational instances')
+ raise TypeError('coefficients must be Rational instances')
self._coefficients[symbol] = coefficient
if isinstance(constant, Rational):
constant = constant.constant
if not isinstance(constant, numbers.Rational):
- raise TypeError('constant must be a rational number '
- 'or a Rational instance')
+ raise TypeError('constant must be a Rational instance')
self._constant = constant
self._symbols = tuple(self._coefficients)
self._dimension = len(self._symbols)
def subs(self, symbol, expression=None):
if expression is None:
- if isinstance(symbol, dict):
+ if isinstance(symbol, Mapping):
symbol = symbol.items()
substitutions = symbol
else: