X-Git-Url: https://scm.cri.ensmp.fr/git/linpy.git/blobdiff_plain/fb070deb31a82b789e1be4ffc5dfa64b4b7a9e36..5b661514c1bbabd8205fdbd22a0ba0f6b1ac6305:/pypol/domains.py diff --git a/pypol/domains.py b/pypol/domains.py index a2650e4..10d12c5 100644 --- a/pypol/domains.py +++ b/pypol/domains.py @@ -2,9 +2,11 @@ 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 @@ -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): @@ -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 @@ -152,7 +154,10 @@ class Domain: islbset = libisl.isl_set_polyhedral_hull(islset) return Polyhedron._fromislbasicset(islbset, self.symbols) - def project_out(self, dims): + def asdomain(self): + return self + + def project(self, dims): # use to remove certain variables islset = self._toislset(self.polyhedra, self.symbols) n = 0 @@ -168,10 +173,19 @@ class Domain: 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: @@ -221,13 +235,13 @@ class Domain: islset = self._toislset(self.polyhedra, self.symbols) 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) @@ -238,20 +252,85 @@ class Domain: for dim in dims: if dim in symbols: first = symbols.index(dims[0]) - n +=1 + n +=1 else: first = 0 - else: - return False + 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: @@ -269,6 +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, @@ -358,6 +438,12 @@ class Domain: strings = [repr(polyhedron) for polyhedron in self.polyhedra] return 'Or({})'.format(', '.join(strings)) + def _repr_latex_(self): + strings = [] + for polyhedron in self.polyhedra: + strings.append('({})'.format(polyhedron._repr_latex_().strip('$'))) + return '${}$'.format(' \\vee '.join(strings)) + @classmethod def fromsympy(cls, expr): import sympy