X-Git-Url: https://scm.cri.ensmp.fr/git/linpy.git/blobdiff_plain/7f60c3d845f3035ce675bfe4cc0d2d01456013c6..6a8f0d937524e9210b3283f8331ccaf6ce3caaa3:/pypol/domains.py?ds=sidebyside diff --git a/pypol/domains.py b/pypol/domains.py index 74351fc..d80fd91 100644 --- a/pypol/domains.py +++ b/pypol/domains.py @@ -2,10 +2,12 @@ import ast import functools import re -from . import islhelper +from fractions import Fraction -from .islhelper import mainctx, libisl, isl_set_basic_sets -from .linexprs import Expression +from . import islhelper +from .islhelper import mainctx, libisl +from .geometry import GeometricObject, Point +from .linexprs import Expression, Symbol __all__ = [ @@ -15,7 +17,7 @@ __all__ = [ @functools.total_ordering -class Domain: +class Domain(GeometricObject): __slots__ = ( '_polyhedra', @@ -26,14 +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): @@ -50,7 +52,7 @@ class Domain: symbols = set() for item in iterator: symbols.update(item.symbols) - return tuple(sorted(symbols, key=lambda symbol: symbol.name)) + return tuple(sorted(symbols, key=Symbol.sortkey)) @property def polyhedra(self): @@ -144,7 +146,7 @@ class Domain: 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 @@ -152,26 +154,38 @@ class Domain: islbset = libisl.isl_set_polyhedral_hull(islset) return Polyhedron._fromislbasicset(islbset, self.symbols) - def project_out(self, symbols): + 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 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) - symbols = [symbol for symbol in self.symbols if symbol not in symbols] - return Domain._fromislset(islset, symbols) + 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: @@ -222,11 +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: @@ -244,6 +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,