X-Git-Url: https://svn.cri.ensmp.fr/git/linpy.git/blobdiff_plain/1d494bb187b70135df721c13306d7f26fdf33f50..2ffea1a47578a1b1d09906d57511062d68e6abea:/pypol/domains.py?ds=sidebyside diff --git a/pypol/domains.py b/pypol/domains.py index fd588b7..6060dc9 100644 --- a/pypol/domains.py +++ b/pypol/domains.py @@ -1,8 +1,11 @@ +import ast import functools +import re from . import islhelper from .islhelper import mainctx, libisl, isl_set_basic_sets +from .linexprs import Expression, Symbol, symbolnames __all__ = [ @@ -81,6 +84,12 @@ 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) @@ -129,10 +138,11 @@ 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): # several types of hull are available @@ -142,10 +152,17 @@ 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 project_out(self, symbols): + # use to remove certain variables + symbols = symbolnames(symbols) + islset = self._toislset(self.polyhedra, self.symbols) + # the trick is to walk symbols in reverse order, to avoid index updates + for index, symbol in reversed(list(enumerate(self.symbols))): + if symbol in symbols: + islset = libisl.isl_set_project_out(islset, libisl.isl_dim_set, index, 1) + # remaining symbols + symbols = [symbol for symbol in self.symbols if symbol not in symbols] + return Domain._fromislset(islset, symbols) def sample(self): from .polyhedra import Polyhedron @@ -224,6 +241,7 @@ 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 +254,77 @@ 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