X-Git-Url: https://svn.cri.ensmp.fr/git/linpy.git/blobdiff_plain/4a5b05e6a8198c51980c14101b06a3e9e0159f4c..66e41ccd173874b3309e4c24be64c7b6b2ac6298:/pypol/linear.py

diff --git a/pypol/linear.py b/pypol/linear.py
index 0712e1e..b40415f 100644
--- a/pypol/linear.py
+++ b/pypol/linear.py
@@ -5,8 +5,8 @@ import re
 
 from fractions import Fraction, gcd
 
-from pypol import isl
-from pypol.isl import libisl
+from . import isl
+from .isl import libisl
 
 
 __all__ = [
@@ -50,6 +50,13 @@ class Expression:
     This class implements linear expressions.
     """
 
+    __slots__ = (
+        '_coefficients',
+        '_constant',
+        '_symbols',
+        '_dimension',
+    )
+
     def __new__(cls, coefficients=None, constant=0):
         if isinstance(coefficients, str):
             if constant:
@@ -90,8 +97,7 @@ class Expression:
 
     @classmethod
     def _fromast(cls, node):
-        if isinstance(node, ast.Module):
-            assert len(node.body) == 1
+        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)
@@ -99,9 +105,8 @@ class Expression:
             return Symbol(node.id)
         elif isinstance(node, ast.Num):
             return Constant(node.n)
-        elif isinstance(node, ast.UnaryOp):
-            if isinstance(node.op, ast.USub):
-                return -cls._fromast(node.operand)
+        elif isinstance(node, ast.UnaryOp) and isinstance(node.op, ast.USub):
+            return -cls._fromast(node.operand)
         elif isinstance(node, ast.BinOp):
             left = cls._fromast(node.left)
             right = cls._fromast(node.right)
@@ -280,13 +285,7 @@ class Expression:
             return '({})'.format(string)
 
     def __repr__(self):
-        string = '{}({{'.format(self.__class__.__name__)
-        for i, (symbol, coefficient) in enumerate(self.coefficients()):
-            if i != 0:
-                string += ', '
-            string += '{!r}: {!r}'.format(symbol, coefficient)
-        string += '}}, {!r})'.format(self.constant)
-        return string
+        return '{}({!r})'.format(self.__class__.__name__, str(self))
 
     @_polymorphic_method
     def __eq__(self, other):
@@ -324,6 +323,31 @@ class Expression:
     def __gt__(self, other):
         return Polyhedron(inequalities=[(self - other)._toint() - 1])
 
+    @classmethod
+    def fromsympy(cls, expr):
+        import sympy
+        coefficients = {}
+        constant = 0
+        for symbol, coefficient in expr.as_coefficients_dict().items():
+            coefficient = Fraction(coefficient.p, coefficient.q)
+            if symbol == sympy.S.One:
+                constant = coefficient
+            elif isinstance(symbol, sympy.Symbol):
+                symbol = symbol.name
+                coefficients[symbol] = coefficient
+            else:
+                raise ValueError('non-linear expression: {!r}'.format(expr))
+        return cls(coefficients, constant)
+
+    def tosympy(self):
+        import sympy
+        expr = 0
+        for symbol, coefficient in self.coefficients():
+            term = coefficient * sympy.Symbol(symbol)
+            expr += term
+        expr += self.constant
+        return expr
+
 
 class Constant(Expression):
 
@@ -350,11 +374,29 @@ class Constant(Expression):
         return bool(self.constant)
 
     def __repr__(self):
-        return '{}({!r})'.format(self.__class__.__name__, self._constant)
+        if self.constant.denominator == 1:
+            return '{}({!r})'.format(self.__class__.__name__, self.constant)
+        else:
+            return '{}({!r}, {!r})'.format(self.__class__.__name__,
+                self.constant.numerator, self.constant.denominator)
+
+    @classmethod
+    def fromsympy(cls, expr):
+        import sympy
+        if isinstance(expr, sympy.Rational):
+            return cls(expr.p, expr.q)
+        elif isinstance(expr, numbers.Rational):
+            return cls(expr)
+        else:
+            raise TypeError('expr must be a sympy.Rational instance')
 
 
 class Symbol(Expression):
 
+    __slots__ = Expression.__slots__ + (
+        '_name',
+    )
+
     def __new__(cls, name):
         if isinstance(name, Symbol):
             name = name.name
@@ -378,6 +420,15 @@ class Symbol(Expression):
     def __repr__(self):
         return '{}({!r})'.format(self.__class__.__name__, self._name)
 
+    @classmethod
+    def fromsympy(cls, expr):
+        import sympy
+        if isinstance(expr, sympy.Symbol):
+            return cls(expr.name)
+        else:
+            raise TypeError('expr must be a sympy.Symbol instance')
+
+
 def symbols(names):
     if isinstance(names, str):
         names = names.replace(',', ' ').split()
@@ -410,6 +461,13 @@ class Polyhedron:
     This class implements polyhedrons.
     """
 
+    __slots__ = (
+        '_equalities',
+        '_inequalities',
+        '_constraints',
+        '_symbols',
+    )
+
     def __new__(cls, equalities=None, inequalities=None):
         if isinstance(equalities, str):
             if inequalities is not None:
@@ -442,23 +500,20 @@ class Polyhedron:
         return self
 
     @classmethod
-    def fromstring(cls, string):
-        string = string.strip()
-        string = re.sub(r'^\{\s*|\s*\}$', '', string)
-        string = re.sub(r'([^<=>])=([^<=>])', r'\1==\2', string)
-        string = re.sub(r'(\d+|\))\s*([^\W\d_]\w*|\()', r'\1*\2', string)
-        equalities = []
-        inequalities = []
-        for cstr in re.split(r',|;|and|&&|/\\|∧', string, flags=re.I):
-            tree = ast.parse(cstr.strip(), 'eval')
-            if not isinstance(tree, ast.Module) or len(tree.body) != 1:
-                raise SyntaxError('invalid syntax')
-            node = tree.body[0]
-            if not isinstance(node, ast.Expr):
-                raise SyntaxError('invalid syntax')
-            node = node.value
-            if not isinstance(node, ast.Compare):
-                raise SyntaxError('invalid syntax')
+    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.BinOp) and isinstance(node.op, ast.BitAnd):
+            equalities1, inequalities1 = cls._fromast(node.left)
+            equalities2, inequalities2 = cls._fromast(node.right)
+            equalities = equalities1 + equalities2
+            inequalities = inequalities1 + inequalities2
+            return equalities, inequalities
+        elif isinstance(node, ast.Compare):
+            equalities = []
+            inequalities = []
             left = Expression._fromast(node.left)
             for i in range(len(node.ops)):
                 op = node.ops[i]
@@ -474,8 +529,23 @@ class Polyhedron:
                 elif isinstance(op, ast.Gt):
                     inequalities.append(left - right - 1)
                 else:
-                    raise SyntaxError('invalid syntax')
+                    break
                 left = right
+            else:
+                return equalities, inequalities
+        raise SyntaxError('invalid syntax')
+
+    @classmethod
+    def fromstring(cls, string):
+        string = string.strip()
+        string = re.sub(r'^\{\s*|\s*\}$', '', string)
+        string = re.sub(r'([^<=>])=([^<=>])', r'\1==\2', string)
+        string = re.sub(r'(\d+|\))\s*([^\W\d_]\w*|\()', r'\1*\2', string)
+        tokens = re.split(r',|;|and|&&|/\\|∧', string, flags=re.I)
+        tokens = ['({})'.format(token) for token in tokens]
+        string = ' & '.join(tokens)
+        tree = ast.parse(string, 'eval')
+        equalities, inequalities = cls._fromast(tree)
         return cls(equalities, inequalities)
 
     @property
@@ -597,7 +667,7 @@ class Polyhedron:
             constraints.append('{} == 0'.format(constraint))
         for constraint in self.inequalities:
             constraints.append('{} >= 0'.format(constraint))
-        return '{{{}}}'.format(', '.join(constraints))
+        return '{}'.format(', '.join(constraints))
 
     def __repr__(self):
         if self.isempty():
@@ -605,10 +675,49 @@ class Polyhedron:
         elif self.isuniverse():
             return 'Universe'
         else:
-            equalities = list(self.equalities)
-            inequalities = list(self.inequalities)
-            return '{}(equalities={!r}, inequalities={!r})' \
-                    ''.format(self.__class__.__name__, equalities, inequalities)
+            return '{}({!r})'.format(self.__class__.__name__, str(self))
+
+    @classmethod
+    def _fromsympy(cls, expr):
+        import sympy
+        equalities = []
+        inequalities = []
+        if expr.func == sympy.And:
+            for arg in expr.args:
+                arg_eqs, arg_ins = cls._fromsympy(arg)
+                equalities.extend(arg_eqs)
+                inequalities.extend(arg_ins)
+        elif expr.func == sympy.Eq:
+            expr = Expression.fromsympy(expr.args[0] - expr.args[1])
+            equalities.append(expr)
+        else:
+            if expr.func == sympy.Lt:
+                expr = Expression.fromsympy(expr.args[1] - expr.args[0] - 1)
+            elif expr.func == sympy.Le:
+                expr = Expression.fromsympy(expr.args[1] - expr.args[0])
+            elif expr.func == sympy.Ge:
+                expr = Expression.fromsympy(expr.args[0] - expr.args[1])
+            elif expr.func == sympy.Gt:
+                expr = Expression.fromsympy(expr.args[0] - expr.args[1] - 1)
+            else:
+                raise ValueError('non-polyhedral expression: {!r}'.format(expr))
+            inequalities.append(expr)
+        return equalities, inequalities
+
+    @classmethod
+    def fromsympy(cls, expr):
+        import sympy
+        equalities, inequalities = cls._fromsympy(expr)
+        return cls(equalities, inequalities)
+
+    def tosympy(self):
+        import sympy
+        constraints = []
+        for equality in self.equalities:
+            constraints.append(sympy.Eq(equality.tosympy(), 0))
+        for inequality in self.inequalities:
+            constraints.append(sympy.Ge(inequality.tosympy(), 0))
+        return sympy.And(*constraints)
 
     def _symbolunion(self, *others):
         symbols = set(self.symbols)
@@ -663,10 +772,13 @@ class Polyhedron:
             { [i0, i1] : 2i1 >= -2 - i0 } '''
 
 Empty = eq(0,1)
+
 Universe = Polyhedron()
 
+
 if __name__ == '__main__':
-    p1 = Polyhedron('2a + 2b + 1 == 0') # empty
-    print(p1._toisl())
-    p2 = Polyhedron('3x + 2y + 3 == 0') # not empty
-    print(p2._toisl())
+    #p = Polyhedron('2a + 2b + 1 == 0') # empty
+    p = Polyhedron('3x + 2y + 3 == 0, y == 0') # not empty
+    ip = p._toisl()
+    print(ip)
+    print(ip.constraints())