X-Git-Url: https://scm.cri.ensmp.fr/git/linpy.git/blobdiff_plain/2bad3743bd25bbcfe12db50e2b18ab8d070f2354..cc6c00616ffb4e7bdf81d5d186ea91b61b304ff1:/pypol/linexprs.py

diff --git a/pypol/linexprs.py b/pypol/linexprs.py
index e73449e..07d4005 100644
--- a/pypol/linexprs.py
+++ b/pypol/linexprs.py
@@ -40,26 +40,26 @@ class Expression:
             return Rational(constant)
         if isinstance(coefficients, Mapping):
             coefficients = coefficients.items()
+        coefficients = list(coefficients)
         for symbol, coefficient in coefficients:
             if not isinstance(symbol, Symbol):
                 raise TypeError('symbols must be Symbol instances')
             if not isinstance(coefficient, numbers.Rational):
-                raise TypeError('coefficients must be Rational instances')
-        coefficients = [(symbol, Fraction(coefficient))
-            for symbol, coefficient in coefficients if coefficient != 0]
+                raise TypeError('coefficients must be rational numbers')
         if not isinstance(constant, numbers.Rational):
-            raise TypeError('constant must be a Rational instance')
-        constant = Fraction(constant)
+            raise TypeError('constant must be a rational number')
         if len(coefficients) == 0:
             return Rational(constant)
         if len(coefficients) == 1 and constant == 0:
             symbol, coefficient = coefficients[0]
             if coefficient == 1:
                 return symbol
+        coefficients = [(symbol, Fraction(coefficient))
+            for symbol, coefficient in coefficients if coefficient != 0]
+        coefficients.sort(key=lambda item: item[0].sortkey())
         self = object().__new__(cls)
-        self._coefficients = OrderedDict(sorted(coefficients,
-            key=lambda item: item[0].sortkey()))
-        self._constant = constant
+        self._coefficients = OrderedDict(coefficients)
+        self._constant = Fraction(constant)
         self._symbols = tuple(self._coefficients)
         self._dimension = len(self._symbols)
         return self
@@ -67,10 +67,7 @@ class Expression:
     def coefficient(self, symbol):
         if not isinstance(symbol, Symbol):
             raise TypeError('symbol must be a Symbol instance')
-        try:
-            return Rational(self._coefficients[symbol])
-        except KeyError:
-            return Rational(0)
+        return Rational(self._coefficients.get(symbol, 0))
 
     __getitem__ = coefficient
 
@@ -131,49 +128,48 @@ class Expression:
         constant = self._constant - other._constant
         return Expression(coefficients, constant)
 
+    @_polymorphic
     def __rsub__(self, other):
-        return -(self - other)
+        return other - self
 
-    @_polymorphic
     def __mul__(self, other):
-        if isinstance(other, Rational):
-            return other.__rmul__(self)
+        if isinstance(other, numbers.Rational):
+            coefficients = ((symbol, coefficient * other)
+                for symbol, coefficient in self._coefficients.items())
+            constant = self._constant * other
+            return Expression(coefficients, constant)
         return NotImplemented
 
     __rmul__ = __mul__
 
-    @_polymorphic
     def __truediv__(self, other):
-        if isinstance(other, Rational):
-            return other.__rtruediv__(self)
+        if isinstance(other, numbers.Rational):
+            coefficients = ((symbol, coefficient / other)
+                for symbol, coefficient in self._coefficients.items())
+            constant = self._constant / other
+            return Expression(coefficients, constant)
         return NotImplemented
 
-    __rtruediv__ = __truediv__
-
     @_polymorphic
     def __eq__(self, other):
-        # "normal" equality
+        # returns a boolean, not a constraint
         # see http://docs.sympy.org/dev/tutorial/gotchas.html#equals-signs
         return isinstance(other, Expression) and \
             self._coefficients == other._coefficients and \
             self._constant == other._constant
 
-    @_polymorphic
     def __le__(self, other):
         from .polyhedra import Le
         return Le(self, other)
 
-    @_polymorphic
     def __lt__(self, other):
         from .polyhedra import Lt
         return Lt(self, other)
 
-    @_polymorphic
     def __ge__(self, other):
         from .polyhedra import Ge
         return Ge(self, other)
 
-    @_polymorphic
     def __gt__(self, other):
         from .polyhedra import Gt
         return Gt(self, other)
@@ -240,18 +236,17 @@ class Expression:
         string = ''
         for i, (symbol, coefficient) in enumerate(self.coefficients()):
             if coefficient == 1:
-                string += '' if i == 0 else ' + '
-                string += '{!r}'.format(symbol)
+                if i != 0:
+                    string += ' + '
             elif coefficient == -1:
                 string += '-' if i == 0 else ' - '
-                string += '{!r}'.format(symbol)
+            elif i == 0:
+                string += '{}*'.format(coefficient)
+            elif coefficient > 0:
+                string += ' + {}*'.format(coefficient)
             else:
-                if i == 0:
-                    string += '{}*{!r}'.format(coefficient, symbol)
-                elif coefficient > 0:
-                    string += ' + {}*{!r}'.format(coefficient, symbol)
-                else:
-                    string += ' - {}*{!r}'.format(-coefficient, symbol)
+                string += ' - {}*'.format(-coefficient)
+            string += '{}'.format(symbol)
         constant = self.constant
         if len(string) == 0:
             string += '{}'.format(constant)
@@ -261,6 +256,30 @@ class Expression:
             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()):
@@ -301,8 +320,8 @@ class Symbol(Expression):
             raise TypeError('name must be a string')
         self = object().__new__(cls)
         self._name = name.strip()
-        self._coefficients = {self: 1}
-        self._constant = 0
+        self._coefficients = {self: Fraction(1)}
+        self._constant = Fraction(0)
         self._symbols = (self,)
         self._dimension = 1
         return self
@@ -321,8 +340,7 @@ class Symbol(Expression):
         return True
 
     def __eq__(self, other):
-        return not isinstance(other, Dummy) and isinstance(other, Symbol) \
-            and self.name == other.name
+        return self.sortkey() == other.sortkey()
 
     def asdummy(self):
         return Dummy(self.name)
@@ -340,11 +358,16 @@ class Symbol(Expression):
     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.Symbol):
-            return cls(expr.name)
+        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')
 
@@ -356,11 +379,13 @@ class Dummy(Symbol):
     def __new__(cls, name=None):
         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._index = Dummy._count
         self._name = name.strip()
-        self._coefficients = {self: 1}
-        self._constant = 0
+        self._coefficients = {self: Fraction(1)}
+        self._constant = Fraction(0)
         self._symbols = (self,)
         self._dimension = 1
         Dummy._count += 1
@@ -372,12 +397,12 @@ class Dummy(Symbol):
     def sortkey(self):
         return self._name, self._index
 
-    def __eq__(self, other):
-        return isinstance(other, Dummy) and self._index == other._index
-
     def __repr__(self):
         return '_{}'.format(self.name)
 
+    def _repr_latex_(self):
+        return '$${}_{{{}}}$$'.format(self.name, self._index)
+
 
 def symbols(names):
     if isinstance(names, str):
@@ -388,11 +413,13 @@ def symbols(names):
 class Rational(Expression, Fraction):
 
     def __new__(cls, numerator=0, denominator=None):
-        self = Fraction.__new__(cls, numerator, denominator)
+        self = object().__new__(cls)
         self._coefficients = {}
-        self._constant = Fraction(self)
+        self._constant = Fraction(numerator, denominator)
         self._symbols = ()
         self._dimension = 0
+        self._numerator = self._constant.numerator
+        self._denominator = self._constant.denominator
         return self
 
     def __hash__(self):
@@ -408,29 +435,21 @@ class Rational(Expression, Fraction):
     def __bool__(self):
         return Fraction.__bool__(self)
 
-    @_polymorphic
-    def __mul__(self, other):
-        coefficients = dict(other._coefficients)
-        for symbol in coefficients:
-            coefficients[symbol] *= self._constant
-        constant = other._constant * self._constant
-        return Expression(coefficients, constant)
-
-    __rmul__ = __mul__
-
-    @_polymorphic
-    def __rtruediv__(self, other):
-        coefficients = dict(other._coefficients)
-        for symbol in coefficients:
-            coefficients[symbol] /= self._constant
-        constant = other._constant / self._constant
-        return Expression(coefficients, constant)
-
-    @classmethod
-    def fromstring(cls, string):
-        if not isinstance(string, str):
-            raise TypeError('string must be a string instance')
-        return Rational(Fraction(string))
+    def __repr__(self):
+        if self.denominator == 1:
+            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)
 
     @classmethod
     def fromsympy(cls, expr):