"""
if not isinstance(symbol, Symbol):
raise TypeError('symbol must be a Symbol instance')
- return Rational(self._coefficients.get(symbol, 0))
+ return self._coefficients.get(symbol, Fraction(0))
__getitem__ = coefficient
Iterate over the pairs (symbol, value) of linear terms in the
expression. The constant term is ignored.
"""
- for symbol, coefficient in self._coefficients.items():
- yield symbol, Rational(coefficient)
+ yield from self._coefficients.items()
@property
def constant(self):
"""
The constant term of the expression.
"""
- return Rational(self._constant)
+ return self._constant
@property
def symbols(self):
term.
"""
for coefficient in self._coefficients.values():
- yield Rational(coefficient)
- yield Rational(self._constant)
+ yield coefficient
+ yield self._constant
def __bool__(self):
return True
# add implicit multiplication operators, e.g. '5x' -> '5*x'
string = LinExpr._RE_NUM_VAR.sub(r'\1*\2', string)
tree = ast.parse(string, 'eval')
- return cls._fromast(tree)
+ expr = cls._fromast(tree)
+ if not isinstance(expr, cls):
+ raise SyntaxError('invalid syntax')
+ return expr
def __repr__(self):
string = ''
@classmethod
def fromsympy(cls, expr):
"""
- Create a linear expression from a sympy expression. Raise ValueError is
+ Create a linear expression from a sympy expression. Raise TypeError is
the sympy expression is not linear.
"""
import sympy
coefficient = Fraction(coefficient.p, coefficient.q)
if symbol == sympy.S.One:
constant = coefficient
+ elif isinstance(symbol, sympy.Dummy):
+ # we cannot properly convert dummy symbols
+ raise TypeError('cannot convert dummy symbols')
elif isinstance(symbol, sympy.Symbol):
symbol = Symbol(symbol.name)
coefficients.append((symbol, coefficient))
else:
- raise ValueError('non-linear expression: {!r}'.format(expr))
- return LinExpr(coefficients, constant)
+ raise TypeError('non-linear expression: {!r}'.format(expr))
+ expr = LinExpr(coefficients, constant)
+ if not isinstance(expr, cls):
+ raise TypeError('cannot convert to a {} instance'.format(cls.__name__))
+ return expr
def tosympy(self):
"""
"""
if not isinstance(name, str):
raise TypeError('name must be a string')
+ node = ast.parse(name)
+ try:
+ name = node.body[0].value.id
+ except (AttributeError, SyntaxError):
+ raise SyntaxError('invalid syntax')
self = object().__new__(cls)
- self._name = name.strip()
+ self._name = name
self._coefficients = {self: Fraction(1)}
self._constant = Fraction(0)
self._symbols = (self,)
"""
return Dummy(self.name)
- @classmethod
- def _fromast(cls, node):
- if isinstance(node, ast.Module) and len(node.body) == 1:
- return cls._fromast(node.body[0])
- elif isinstance(node, ast.Expr):
- return cls._fromast(node.value)
- elif isinstance(node, ast.Name):
- return Symbol(node.id)
- raise SyntaxError('invalid syntax')
-
def __repr__(self):
return self.name
def _repr_latex_(self):
return '$${}$$'.format(self.name)
- @classmethod
- def fromsympy(cls, expr):
- import sympy
- if isinstance(expr, sympy.Dummy):
- return Dummy(expr.name)
- elif isinstance(expr, sympy.Symbol):
- return Symbol(expr.name)
- else:
- raise TypeError('expr must be a sympy.Symbol instance')
+
+def symbols(names):
+ """
+ This function returns a tuple of symbols whose names are taken from a comma
+ or whitespace delimited string, or a sequence of strings. It is useful to
+ define several symbols at once.
+
+ >>> x, y = symbols('x y')
+ >>> x, y = symbols('x, y')
+ >>> x, y = symbols(['x', 'y'])
+ """
+ if isinstance(names, str):
+ names = names.replace(',', ' ').split()
+ return tuple(Symbol(name) for name in names)
class Dummy(Symbol):
return '$${}_{{{}}}$$'.format(self.name, self._index)
-def symbols(names):
- """
- This function returns a tuple of symbols whose names are taken from a comma
- or whitespace delimited string, or a sequence of strings. It is useful to
- define several symbols at once.
-
- >>> x, y = symbols('x y')
- >>> x, y = symbols('x, y')
- >>> x, y = symbols(['x', 'y'])
- """
- if isinstance(names, str):
- names = names.replace(',', ' ').split()
- return tuple(Symbol(name) for name in names)
-
-
class Rational(LinExpr, Fraction):
"""
A particular case of linear expressions are rational values, i.e. linear
else:
return '$$\\frac{{{}}}{{{}}}$$'.format(self.numerator,
self.denominator)
-
- @classmethod
- def fromsympy(cls, expr):
- import sympy
- if isinstance(expr, sympy.Rational):
- return Rational(expr.p, expr.q)
- elif isinstance(expr, numbers.Rational):
- return Rational(expr)
- else:
- raise TypeError('expr must be a sympy.Rational instance')