Make LinExpr.coefficient() always return a Fraction

[linpy.git] / linpy / linexprs.py

diff --git a/linpy/linexprs.py b/linpy/linexprs.py
index 82d75d0..99ad4ec 100644 (file)
--- a/linpy/linexprs.py
+++ b/linpy/linexprs.py
@@ -122,7 +122,7 @@ class LinExpr:
         """
         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
 
@@ -132,14 +132,14 @@ class LinExpr:
         expression. The constant term is ignored.
         """
         for symbol, coefficient in self._coefficients.items():
-            yield symbol, Rational(coefficient)
+            yield symbol, coefficient
 
     @property
     def constant(self):
         """
         The constant term of the expression.
         """
-        return Rational(self._constant)
+        return self._constant
 
     @property
     def symbols(self):
@@ -180,8 +180,8 @@ class LinExpr:
         term.
         """
         for coefficient in self._coefficients.values():
-            yield Rational(coefficient)
-        yield Rational(self._constant)
+            yield coefficient
+        yield self._constant
 
     def __bool__(self):
         return True
@@ -348,7 +348,10 @@ class LinExpr:
         # 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 = ''
@@ -408,7 +411,7 @@ class LinExpr:
     @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
@@ -418,12 +421,18 @@ class LinExpr:
             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):
         """
@@ -453,8 +462,13 @@ class Symbol(LinExpr):
         """
         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,)
@@ -493,31 +507,26 @@ class Symbol(LinExpr):
         """
         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):
@@ -573,21 +582,6 @@ 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
@@ -634,13 +628,3 @@ class Rational(LinExpr, Fraction):
         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')