X-Git-Url: https://svn.cri.ensmp.fr/git/linpy.git/blobdiff_plain/8fe086b5ae03df5fadf1ec7de1aa41c0ace4a3ae..17f12d8f63d696f09dbb44be3dc24b9aba7b88d3:/pypol/domains.py?ds=sidebyside diff --git a/pypol/domains.py b/pypol/domains.py index bbb0946..2fbd544 100644 --- a/pypol/domains.py +++ b/pypol/domains.py @@ -2,10 +2,11 @@ import ast import functools import re -from . import islhelper +from fractions import Fraction +from . import islhelper from .islhelper import mainctx, libisl, isl_set_basic_sets -from .linexprs import Expression +from .linexprs import Expression, Symbol __all__ = [ @@ -50,7 +51,7 @@ 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): @@ -139,12 +140,12 @@ class Domain: def simplify(self): #does not change anything in any of the examples - #isl seems to do this naturally + #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 @@ -152,34 +153,35 @@ class Domain: islbset = libisl.isl_set_polyhedral_hull(islset) return Polyhedron._fromislbasicset(islbset, self.symbols) - def drop_dims(self, dims): - # use to remove certain variables use isl_set_drop_constraints_involving_dims instead? - from .polyhedra import Polyhedron - n = 1 - dims = list(dims) - symbols = list(self.symbols) + def project(self, dims): + # use to remove certain variables islset = self._toislset(self.polyhedra, self.symbols) - for dim in dims: - dim_index = dims.index(dim) - if dim in symbols: - first = symbols.index(dim) - try: - if symbols[first+1] is dims[dim_index+1]: #check if next value in symbols is same as next value in dims - n += 1 - islbset = libisl.isl_set_project_out(islset, libisl.isl_dim_set, first, n) - symbols.__delitem__(first) - except: - islbset = libisl.isl_set_project_out(islset, libisl.isl_dim_set, first, n) - symbols.__delitem__(first) - else: - islbset = libisl.isl_set_project_out(islset, libisl.isl_dim_set, 0, 0) - return Polyhedron._fromislset(islbset, 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: @@ -230,6 +232,80 @@ 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): + 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); + if islhelper.isl_version < '0.13': + string = islhelper.isl_set_to_str(expr) + print(string) + # to be continued... + else: + # horrible hack, find a cleaner solution + string = islhelper.isl_multi_aff_to_str(expr) + matches = self._RE_COORDINATE.finditer(string) + point = {} + 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) + point[symbol] = coordinate + points.append(point) + 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: + 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 + points.append(point) + return points + + 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 @@ -252,6 +328,7 @@ class Domain: self._dimension = len(self._symbols) return self + @classmethod def _toislset(cls, polyhedra, symbols): polyhedron = polyhedra[0] islbset = polyhedron._toislbasicset(polyhedron.equalities, @@ -343,10 +420,26 @@ 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): if len(domains) == 0: