Return the expression multiplied by its lowest common denominator to
make all values integer.
"""
- lcm = functools.reduce(lambda a, b: a*b // gcd(a, b),
+ lcd = functools.reduce(lambda a, b: a*b // gcd(a, b),
[value.denominator for value in self.values()])
- return self * lcm
+ return self * lcd
def subs(self, symbol, expression=None):
"""
2*x + y + 1
"""
if expression is None:
- if isinstance(symbol, Mapping):
- symbol = symbol.items()
- substitutions = symbol
+ substitutions = dict(symbol)
else:
- substitutions = [(symbol, expression)]
- result = self
- for symbol, expression in substitutions:
+ substitutions = {symbol: expression}
+ for symbol in substitutions:
if not isinstance(symbol, Symbol):
raise TypeError('symbols must be Symbol instances')
- coefficients = [(othersymbol, coefficient)
- for othersymbol, coefficient in result._coefficients.items()
- if othersymbol != symbol]
- coefficient = result._coefficients.get(symbol, 0)
- constant = result._constant
- result = LinExpr(coefficients, constant) + coefficient*expression
+ result = self._constant
+ for symbol, coefficient in self._coefficients.items():
+ expression = substitutions.get(symbol, symbol)
+ result += coefficient * expression
return result
@classmethod
return left / right
raise SyntaxError('invalid syntax')
- _RE_NUM_VAR = re.compile(r'(\d+|\))\s*([^\W\d_]\w*|\()')
+ _RE_NUM_VAR = re.compile(r'(\d+|\))\s*([^\W\d]\w*|\()')
@classmethod
def fromstring(cls, string):
Two instances of Symbol are equal if they have the same name.
"""
+ __slots__ = (
+ '_name',
+ '_constant',
+ '_symbols',
+ '_dimension',
+ )
+
def __new__(cls, name):
"""
Return a symbol with the name string given in argument.
raise SyntaxError('invalid syntax')
self = object().__new__(cls)
self._name = name
- self._coefficients = {self: Fraction(1)}
self._constant = Fraction(0)
self._symbols = (self,)
self._dimension = 1
return self
+ @property
+ def _coefficients(self):
+ return {self: Fraction(1)}
+
@property
def name(self):
"""
"""
if name is None:
name = 'Dummy_{}'.format(Dummy._count)
- elif not isinstance(name, str):
- raise TypeError('name must be a string')
- self = object().__new__(cls)
+ self = super().__new__(cls, name)
self._index = Dummy._count
- self._name = name.strip()
- self._coefficients = {self: Fraction(1)}
- self._constant = Fraction(0)
- self._symbols = (self,)
- self._dimension = 1
Dummy._count += 1
return self
fractions.Fraction classes.
"""
+ __slots__ = (
+ '_coefficients',
+ '_constant',
+ '_symbols',
+ '_dimension',
+ ) + Fraction.__slots__
+
def __new__(cls, numerator=0, denominator=None):
self = object().__new__(cls)
self._coefficients = {}