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:
def __repr__(self):
string = ''
- i = 0
- for symbol in self.symbols:
- coefficient = self.coefficient(symbol)
+ for i, (symbol, coefficient) in enumerate(self.coefficients()):
if coefficient == 1:
- if i == 0:
- string += symbol.name
- else:
- string += ' + {}'.format(symbol)
+ string += '' if i == 0 else ' + '
+ string += '{!r}'.format(symbol)
elif coefficient == -1:
- if i == 0:
- string += '-{}'.format(symbol)
- else:
- string += ' - {}'.format(symbol)
+ string += '-' if i == 0 else ' - '
+ string += '{!r}'.format(symbol)
else:
if i == 0:
- string += '{}*{}'.format(coefficient, symbol)
+ string += '{}*{!r}'.format(coefficient, symbol)
elif coefficient > 0:
- string += ' + {}*{}'.format(coefficient, symbol)
+ string += ' + {}*{!r}'.format(coefficient, symbol)
else:
- assert coefficient < 0
- coefficient *= -1
- string += ' - {}*{}'.format(coefficient, symbol)
- i += 1
+ string += ' - {}*{!r}'.format(-coefficient, symbol)
constant = self.constant
- if constant != 0 and i == 0:
+ if len(string) == 0:
string += '{}'.format(constant)
elif constant > 0:
string += ' + {}'.format(constant)
elif constant < 0:
- constant *= -1
- string += ' - {}'.format(constant)
- if string == '':
- string = '0'
+ string += ' - {}'.format(-constant)
return string
def _parenstr(self, always=False):
return Symbol(node.id)
raise SyntaxError('invalid syntax')
+ def __repr__(self):
+ return self.name
+
@classmethod
def fromsympy(cls, expr):
import sympy
if isinstance(expr, sympy.Symbol):
- return Symbol(expr.name)
+ return cls(expr.name)
else:
raise TypeError('expr must be a sympy.Symbol instance')
def __eq__(self, other):
return isinstance(other, Dummy) and self._index == other._index
+ def __repr__(self):
+ return '_{}'.format(self.name)
+
def symbols(names):
if isinstance(names, str):