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[linpy.git] / linpy / linexprs.py

diff --git a/linpy/linexprs.py b/linpy/linexprs.py
index 961502d..3c00f22 100644 (file)
--- a/linpy/linexprs.py
+++ b/linpy/linexprs.py
@@ -62,7 +62,7 @@ class LinExpr:
         symbols to their coefficients, and a constant term. The coefficients and
         the constant term must be rational numbers.
 
         symbols to their coefficients, and a constant term. The coefficients and
         the constant term must be rational numbers.
 

-        For example, the linear expression x + 2y + 1 can be constructed using
+        For example, the linear expression x + 2*y + 1 can be constructed using

         one of the following instructions:
 
         >>> x, y = symbols('x y')
         one of the following instructions:
 
         >>> x, y = symbols('x y')


@@ -76,7 +76,7 @@ class LinExpr:
 
         Alternatively, linear expressions can be constructed from a string:
 
 
         Alternatively, linear expressions can be constructed from a string:
 

-        >>> LinExpr('x + 2*y + 1')
+        >>> LinExpr('x + 2y + 1')

 
         A linear expression with a single symbol of coefficient 1 and no
         constant term is automatically subclassed as a Symbol instance. A linear
 
         A linear expression with a single symbol of coefficient 1 and no
         constant term is automatically subclassed as a Symbol instance. A linear


@@ -245,28 +245,34 @@ class LinExpr:
     @_polymorphic
     def __eq__(self, other):
         """
     @_polymorphic
     def __eq__(self, other):
         """

-        Test whether two linear expressions are equal.
+        Test whether two linear expressions are equal. Unlike methods
+        LinExpr.__lt__(), LinExpr.__le__(), LinExpr.__ge__(), LinExpr.__gt__(),
+        the result is a boolean value, not a polyhedron. To express that two
+        linear expressions are equal or not equal, use functions Eq() and Ne()
+        instead.

         """
         """

-        if isinstance(other, LinExpr):
-            return self._coefficients == other._coefficients and \
-                self._constant == other._constant
-        return NotImplemented
-
-    def __le__(self, other):
-        from .polyhedra import Le
-        return Le(self, other)
+        return self._coefficients == other._coefficients and \
+            self._constant == other._constant

 
 

+    @_polymorphic

     def __lt__(self, other):
     def __lt__(self, other):

-        from .polyhedra import Lt
-        return Lt(self, other)
+        from .polyhedra import Polyhedron
+        return Polyhedron([], [other - self - 1])
+
+    @_polymorphic
+    def __le__(self, other):
+        from .polyhedra import Polyhedron
+        return Polyhedron([], [other - self])

 
 

+    @_polymorphic

     def __ge__(self, other):
     def __ge__(self, other):

-        from .polyhedra import Ge
-        return Ge(self, other)
+        from .polyhedra import Polyhedron
+        return Polyhedron([], [self - other])

 
 

+    @_polymorphic

     def __gt__(self, other):
     def __gt__(self, other):

-        from .polyhedra import Gt
-        return Gt(self, other)
+        from .polyhedra import Polyhedron
+        return Polyhedron([], [self - other - 1])

 
     def scaleint(self):
         """
 
     def scaleint(self):
         """


@@ -342,10 +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')
         # Add implicit multiplication operators, e.g. '5x' -> '5*x'.
         string = LinExpr._RE_NUM_VAR.sub(r'\1*\2', string)
         tree = ast.parse(string, 'eval')

-        expr = cls._fromast(tree)
-        if not isinstance(expr, cls):
+        expression = cls._fromast(tree)
+        if not isinstance(expression, cls):

             raise SyntaxError('invalid syntax')
             raise SyntaxError('invalid syntax')

-        return expr
+        return expression

 
     def __repr__(self):
         string = ''
 
     def __repr__(self):
         string = ''


@@ -371,30 +377,6 @@ class LinExpr:
             string += ' - {}'.format(-constant)
         return string
 
             string += ' - {}'.format(-constant)
         return string
 

-    def _repr_latex_(self):
-        string = ''
-        for i, (symbol, coefficient) in enumerate(self.coefficients()):
-            if coefficient == 1:
-                if i != 0:
-                    string += ' + '
-            elif coefficient == -1:
-                string += '-' if i == 0 else ' - '
-            elif i == 0:
-                string += '{}'.format(coefficient._repr_latex_().strip('$'))
-            elif coefficient > 0:
-                string += ' + {}'.format(coefficient._repr_latex_().strip('$'))
-            elif coefficient < 0:
-                string += ' - {}'.format((-coefficient)._repr_latex_().strip('$'))
-            string += '{}'.format(symbol._repr_latex_().strip('$'))
-        constant = self.constant
-        if len(string) == 0:
-            string += '{}'.format(constant._repr_latex_().strip('$'))
-        elif constant > 0:
-            string += ' + {}'.format(constant._repr_latex_().strip('$'))
-        elif constant < 0:
-            string += ' - {}'.format((-constant)._repr_latex_().strip('$'))
-        return '$${}$$'.format(string)
-

     def _parenstr(self, always=False):
         string = str(self)
         if not always and (self.isconstant() or self.issymbol()):
     def _parenstr(self, always=False):
         string = str(self)
         if not always and (self.isconstant() or self.issymbol()):


@@ -403,7 +385,7 @@ class LinExpr:
             return '({})'.format(string)
 
     @classmethod
             return '({})'.format(string)
 
     @classmethod

-    def fromsympy(cls, expr):
+    def fromsympy(cls, expression):

         """
         Create a linear expression from a SymPy expression. Raise TypeError is
         the sympy expression is not linear.
         """
         Create a linear expression from a SymPy expression. Raise TypeError is
         the sympy expression is not linear.


@@ -411,7 +393,7 @@ class LinExpr:
         import sympy
         coefficients = []
         constant = 0
         import sympy
         coefficients = []
         constant = 0

-        for symbol, coefficient in expr.as_coefficients_dict().items():
+        for symbol, coefficient in expression.as_coefficients_dict().items():

             coefficient = Fraction(coefficient.p, coefficient.q)
             if symbol == sympy.S.One:
                 constant = coefficient
             coefficient = Fraction(coefficient.p, coefficient.q)
             if symbol == sympy.S.One:
                 constant = coefficient


@@ -423,23 +405,23 @@ class LinExpr:
                 symbol = Symbol(symbol.name)
                 coefficients.append((symbol, coefficient))
             else:
                 symbol = Symbol(symbol.name)
                 coefficients.append((symbol, coefficient))
             else:

-                raise TypeError('non-linear expression: {!r}'.format(expr))
-        expr = LinExpr(coefficients, constant)
-        if not isinstance(expr, cls):
+                raise TypeError('non-linear expression: {!r}'.format(expression))
+        expression = LinExpr(coefficients, constant)
+        if not isinstance(expression, cls):

             raise TypeError('cannot convert to a {} instance'.format(cls.__name__))
             raise TypeError('cannot convert to a {} instance'.format(cls.__name__))

-        return expr
+        return expression

 
     def tosympy(self):
         """
         Convert the linear expression to a SymPy expression.
         """
         import sympy
 
     def tosympy(self):
         """
         Convert the linear expression to a SymPy expression.
         """
         import sympy

-        expr = 0
+        expression = 0

         for symbol, coefficient in self.coefficients():
             term = coefficient * sympy.Symbol(symbol.name)
         for symbol, coefficient in self.coefficients():
             term = coefficient * sympy.Symbol(symbol.name)

-            expr += term
-        expr += self.constant
-        return expr
+            expression += term
+        expression += self.constant
+        return expression

 
 
 class Symbol(LinExpr):
 
 
 class Symbol(LinExpr):


@@ -519,9 +501,6 @@ class Symbol(LinExpr):
     def __repr__(self):
         return self.name
 
     def __repr__(self):
         return self.name
 

-    def _repr_latex_(self):
-        return '$${}$$'.format(self.name)
-

 
 def symbols(names):
     """
 
 def symbols(names):
     """


@@ -580,9 +559,6 @@ class Dummy(Symbol):
     def __repr__(self):
         return '_{}'.format(self.name)
 
     def __repr__(self):
         return '_{}'.format(self.name)
 

-    def _repr_latex_(self):
-        return '$${}_{{{}}}$$'.format(self.name, self._index)
-

 
 class Rational(LinExpr, Fraction):
     """
 
 class Rational(LinExpr, Fraction):
     """


@@ -627,13 +603,3 @@ class Rational(LinExpr, Fraction):
             return '{!r}'.format(self.numerator)
         else:
             return '{!r}/{!r}'.format(self.numerator, self.denominator)
             return '{!r}'.format(self.numerator)
         else:
             return '{!r}/{!r}'.format(self.numerator, self.denominator)

-
-    def _repr_latex_(self):
-        if self.denominator == 1:
-            return '$${}$$'.format(self.numerator)
-        elif self.numerator < 0:
-            return '$$-\\frac{{{}}}{{{}}}$$'.format(-self.numerator,
-                self.denominator)
-        else:
-            return '$$\\frac{{{}}}{{{}}}$$'.format(self.numerator,
-                self.denominator)