X-Git-Url: https://svn.cri.ensmp.fr/git/linpy.git/blobdiff_plain/4a5b05e6a8198c51980c14101b06a3e9e0159f4c..8898463c1eaa1595521a9f6cca59e8d876a8324c:/pypol/linear.py?ds=sidebyside diff --git a/pypol/linear.py b/pypol/linear.py index 0712e1e..c34402a 100644 --- a/pypol/linear.py +++ b/pypol/linear.py @@ -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) @@ -350,11 +355,18 @@ 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) class Symbol(Expression): + __slots__ = Expression.__slots__ + ( + '_name', + ) + def __new__(cls, name): if isinstance(name, Symbol): name = name.name @@ -410,6 +422,13 @@ 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 +461,20 @@ 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*|\()', r'\1*\2', string) - equalities = [] - inequalities = [] - for cstr in re.split(r',|;|and|&&|/\\|∧', string, flags=re.I): - tree = ast.parse(cstr.strip(), 'eval') - if not isinstance(tree, ast.Module) or len(tree.body) != 1: - raise SyntaxError('invalid syntax') - node = tree.body[0] - if not isinstance(node, ast.Expr): - raise SyntaxError('invalid syntax') - node = node.value - if not isinstance(node, ast.Compare): - raise SyntaxError('invalid syntax') + def _fromast(cls, node): + if isinstance(node, ast.Module) and len(node.body) == 1: + return cls._fromast(node.body[0]) + elif isinstance(node, ast.Expr): + return cls._fromast(node.value) + elif isinstance(node, ast.BinOp) and isinstance(node.op, ast.BitAnd): + equalities1, inequalities1 = cls._fromast(node.left) + equalities2, inequalities2 = cls._fromast(node.right) + equalities = equalities1 + equalities2 + inequalities = inequalities1 + inequalities2 + return equalities, inequalities + elif isinstance(node, ast.Compare): + equalities = [] + inequalities = [] left = Expression._fromast(node.left) for i in range(len(node.ops)): op = node.ops[i] @@ -474,8 +490,23 @@ class Polyhedron: elif isinstance(op, ast.Gt): inequalities.append(left - right - 1) else: - raise SyntaxError('invalid syntax') + break left = right + else: + return equalities, inequalities + raise SyntaxError('invalid syntax') + + @classmethod + def fromstring(cls, string): + string = string.strip() + string = re.sub(r'^\{\s*|\s*\}$', '', string) + string = re.sub(r'([^<=>])=([^<=>])', r'\1==\2', string) + string = re.sub(r'(\d+|\))\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 @@ -663,10 +694,13 @@ 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())