X-Git-Url: https://svn.cri.ensmp.fr/git/linpy.git/blobdiff_plain/1d494bb187b70135df721c13306d7f26fdf33f50..8332ae24f41a1f2bbba78597cc9e412ef9935ae8:/pypol/domains.py?ds=inline diff --git a/pypol/domains.py b/pypol/domains.py index fd588b7..d80fd91 100644 --- a/pypol/domains.py +++ b/pypol/domains.py @@ -1,8 +1,13 @@ +import ast import functools +import re -from . import islhelper +from fractions import Fraction -from .islhelper import mainctx, libisl, isl_set_basic_sets +from . import islhelper +from .islhelper import mainctx, libisl +from .geometry import GeometricObject, Point +from .linexprs import Expression, Symbol __all__ = [ @@ -12,7 +17,7 @@ __all__ = [ @functools.total_ordering -class Domain: +class Domain(GeometricObject): __slots__ = ( '_polyhedra', @@ -23,14 +28,14 @@ class Domain: def __new__(cls, *polyhedra): from .polyhedra import Polyhedron if len(polyhedra) == 1: - polyhedron = polyhedra[0] - if isinstance(polyhedron, str): - return cls.fromstring(polyhedron) - elif isinstance(polyhedron, Polyhedron): - return polyhedron + argument = polyhedra[0] + if isinstance(argument, str): + return cls.fromstring(argument) + elif isinstance(argument, GeometricObject): + return argument.aspolyhedron() else: raise TypeError('argument must be a string ' - 'or a Polyhedron instance') + 'or a GeometricObject instance') else: for polyhedron in polyhedra: if not isinstance(polyhedron, Polyhedron): @@ -47,7 +52,7 @@ class Domain: symbols = set() for item in iterator: symbols.update(item.symbols) - return tuple(sorted(symbols)) + return tuple(sorted(symbols, key=Symbol.sortkey)) @property def polyhedra(self): @@ -81,6 +86,12 @@ class Domain: libisl.isl_set_free(islset) return universe + def isbounded(self): + islset = self._toislset(self.polyhedra, self.symbols) + bounded = bool(libisl.isl_set_is_bounded(islset)) + libisl.isl_set_free(islset) + return bounded + def __eq__(self, other): symbols = self._xsymbols([self, other]) islset1 = self._toislset(self.polyhedra, symbols) @@ -129,12 +140,13 @@ class Domain: return self.complement() def simplify(self): - # see isl_set_coalesce, isl_set_detect_equalities, - # isl_set_remove_redundancies - # which ones? in which order? - raise NotImplementedError + #does not change anything in any of the examples + #isl seems to do this naturally + islset = self._toislset(self.polyhedra, self.symbols) + islset = libisl.isl_set_remove_redundancies(islset) + return self._fromislset(islset, self.symbols) - def polyhedral_hull(self): + def aspolyhedron(self): # several types of hull are available # polyhedral seems to be the more appropriate, to be checked from .polyhedra import Polyhedron @@ -142,16 +154,38 @@ class Domain: islbset = libisl.isl_set_polyhedral_hull(islset) return Polyhedron._fromislbasicset(islbset, self.symbols) - def project(self, symbols): - # not sure what isl_set_project_out actually does… - # use isl_set_drop_constraints_involving_dims instead? - raise NotImplementedError + def asdomain(self): + return self + + def project(self, dims): + # use to remove certain variables + islset = self._toislset(self.polyhedra, self.symbols) + n = 0 + for index, symbol in reversed(list(enumerate(self.symbols))): + if symbol in dims: + n += 1 + elif n > 0: + islset = libisl.isl_set_project_out(islset, libisl.isl_dim_set, index + 1, n) + n = 0 + if n > 0: + islset = libisl.isl_set_project_out(islset, libisl.isl_dim_set, 0, n) + dims = [symbol for symbol in self.symbols if symbol not in dims] + return Domain._fromislset(islset, dims) def sample(self): - from .polyhedra import Polyhedron islset = self._toislset(self.polyhedra, self.symbols) - islbset = libisl.isl_set_sample(islset) - return Polyhedron._fromislbasicset(islbset, self.symbols) + islpoint = libisl.isl_set_sample_point(islset) + if bool(libisl.isl_point_is_void(islpoint)): + libisl.isl_point_free(islpoint) + raise ValueError('domain must be non-empty') + point = {} + for index, symbol in enumerate(self.symbols): + coordinate = libisl.isl_point_get_coordinate_val(islpoint, + libisl.isl_dim_set, index) + coordinate = islhelper.isl_val_to_int(coordinate) + point[symbol] = coordinate + libisl.isl_point_free(islpoint) + return point def intersection(self, *others): if len(others) == 0: @@ -202,11 +236,101 @@ class Domain: islset = libisl.isl_set_lexmax(islset) return self._fromislset(islset, self.symbols) + def num_parameters(self): + #could be useful with large, complicated polyhedrons + islbset = self._toislbasicset(self.equalities, self.inequalities, self.symbols) + num = libisl.isl_basic_set_dim(islbset, libisl.isl_dim_set) + return num + + def involves_dims(self, dims): + #could be useful with large, complicated polyhedrons + islset = self._toislset(self.polyhedra, self.symbols) + dims = sorted(dims) + symbols = sorted(list(self.symbols)) + n = 0 + if len(dims)>0: + for dim in dims: + if dim in symbols: + first = symbols.index(dims[0]) + n +=1 + else: + first = 0 + else: + return False + value = bool(libisl.isl_set_involves_dims(islset, libisl.isl_dim_set, first, n)) + libisl.isl_set_free(islset) + return value + + _RE_COORDINATE = re.compile(r'\((?P\-?\d+)\)(/(?P\d+))?') + + def vertices(self): + #returning list of verticies + from .polyhedra import Polyhedron + islbset = self._toislbasicset(self.equalities, self.inequalities, self.symbols) + vertices = libisl.isl_basic_set_compute_vertices(islbset); + vertices = islhelper.isl_vertices_vertices(vertices) + points = [] + for vertex in vertices: + expr = libisl.isl_vertex_get_expr(vertex) + coordinates = [] + if islhelper.isl_version < '0.13': + constraints = islhelper.isl_basic_set_constraints(expr) + for constraint in constraints: + constant = libisl.isl_constraint_get_constant_val(constraint) + constant = islhelper.isl_val_to_int(constant) + for index, symbol in enumerate(self.symbols): + coefficient = libisl.isl_constraint_get_coefficient_val(constraint, + libisl.isl_dim_set, index) + coefficient = islhelper.isl_val_to_int(coefficient) + if coefficient != 0: + coordinate = -Fraction(constant, coefficient) + coordinates.append((symbol, coordinate)) + else: + # horrible hack, find a cleaner solution + string = islhelper.isl_multi_aff_to_str(expr) + matches = self._RE_COORDINATE.finditer(string) + for symbol, match in zip(self.symbols, matches): + numerator = int(match.group('num')) + denominator = match.group('den') + denominator = 1 if denominator is None else int(denominator) + coordinate = Fraction(numerator, denominator) + coordinates.append((symbol, coordinate)) + points.append(Point(coordinates)) + return points + + def points(self): + if not self.isbounded(): + raise ValueError('domain must be bounded') + from .polyhedra import Universe, Eq + islset = self._toislset(self.polyhedra, self.symbols) + islpoints = islhelper.isl_set_points(islset) + points = [] + for islpoint in islpoints: + coordinates = {} + for index, symbol in enumerate(self.symbols): + coordinate = libisl.isl_point_get_coordinate_val(islpoint, + libisl.isl_dim_set, index) + coordinate = islhelper.isl_val_to_int(coordinate) + coordinates[symbol] = coordinate + points.append(Point(coordinates)) + return points + + def __contains__(self, point): + for polyhedron in self.polyhedra: + if point in polyhedron: + return True + return False + + def subs(self, symbol, expression=None): + polyhedra = [polyhedron.subs(symbol, expression) + for polyhedron in self.polyhedra] + return Domain(*polyhedra) + @classmethod def _fromislset(cls, islset, symbols): from .polyhedra import Polyhedron islset = libisl.isl_set_remove_divs(islset) - islbsets = isl_set_basic_sets(islset) + islbsets = islhelper.isl_set_basic_sets(islset) libisl.isl_set_free(islset) polyhedra = [] for islbset in islbsets: @@ -224,6 +348,7 @@ class Domain: self._dimension = len(self._symbols) return self + @classmethod def _toislset(cls, polyhedra, symbols): polyhedron = polyhedra[0] islbset = polyhedron._toislbasicset(polyhedron.equalities, @@ -236,9 +361,77 @@ class Domain: islset1 = libisl.isl_set_union(islset1, islset2) return islset1 + @classmethod + def _fromast(cls, node): + from .polyhedra import Polyhedron + 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.UnaryOp): + domain = cls._fromast(node.operand) + if isinstance(node.operand, ast.invert): + return Not(domain) + elif isinstance(node, ast.BinOp): + domain1 = cls._fromast(node.left) + domain2 = cls._fromast(node.right) + if isinstance(node.op, ast.BitAnd): + return And(domain1, domain2) + elif isinstance(node.op, ast.BitOr): + return Or(domain1, domain2) + elif isinstance(node, ast.Compare): + equalities = [] + inequalities = [] + left = Expression._fromast(node.left) + for i in range(len(node.ops)): + op = node.ops[i] + right = Expression._fromast(node.comparators[i]) + if isinstance(op, ast.Lt): + inequalities.append(right - left - 1) + elif isinstance(op, ast.LtE): + inequalities.append(right - left) + elif isinstance(op, ast.Eq): + equalities.append(left - right) + elif isinstance(op, ast.GtE): + inequalities.append(left - right) + elif isinstance(op, ast.Gt): + inequalities.append(left - right - 1) + else: + break + left = right + else: + return Polyhedron(equalities, inequalities) + raise SyntaxError('invalid syntax') + + _RE_BRACES = re.compile(r'^\{\s*|\s*\}$') + _RE_EQ = re.compile(r'([^<=>])=([^<=>])') + _RE_AND = re.compile(r'\band\b|,|&&|/\\|∧|∩') + _RE_OR = re.compile(r'\bor\b|;|\|\||\\/|∨|∪') + _RE_NOT = re.compile(r'\bnot\b|!|¬') + _RE_NUM_VAR = Expression._RE_NUM_VAR + _RE_OPERATORS = re.compile(r'(&|\||~)') + @classmethod def fromstring(cls, string): - raise NotImplementedError + # remove curly brackets + string = cls._RE_BRACES.sub(r'', string) + # replace '=' by '==' + string = cls._RE_EQ.sub(r'\1==\2', string) + # replace 'and', 'or', 'not' + string = cls._RE_AND.sub(r' & ', string) + string = cls._RE_OR.sub(r' | ', string) + string = cls._RE_NOT.sub(r' ~', string) + # add implicit multiplication operators, e.g. '5x' -> '5*x' + string = cls._RE_NUM_VAR.sub(r'\1*\2', string) + # add parentheses to force precedence + tokens = cls._RE_OPERATORS.split(string) + for i, token in enumerate(tokens): + if i % 2 == 0: + token = '({})'.format(token) + tokens[i] = token + string = ''.join(tokens) + tree = ast.parse(string, 'eval') + return cls._fromast(tree) def __repr__(self): assert len(self.polyhedra) >= 2 @@ -247,10 +440,25 @@ class Domain: @classmethod def fromsympy(cls, expr): - raise NotImplementedError + import sympy + from .polyhedra import Lt, Le, Eq, Ne, Ge, Gt + funcmap = { + sympy.And: And, sympy.Or: Or, sympy.Not: Not, + sympy.Lt: Lt, sympy.Le: Le, + sympy.Eq: Eq, sympy.Ne: Ne, + sympy.Ge: Ge, sympy.Gt: Gt, + } + if expr.func in funcmap: + args = [Domain.fromsympy(arg) for arg in expr.args] + return funcmap[expr.func](*args) + elif isinstance(expr, sympy.Expr): + return Expression.fromsympy(expr) + raise ValueError('non-domain expression: {!r}'.format(expr)) def tosympy(self): - raise NotImplementedError + import sympy + polyhedra = [polyhedron.tosympy() for polyhedron in polyhedra] + return sympy.Or(*polyhedra) def And(*domains):