from fractions import Fraction
from . import islhelper
-from .islhelper import mainctx, libisl
-from .linexprs import LinExpr, Symbol
from .geometry import GeometricObject, Point, Vector
+from .islhelper import libisl
+from .linexprs import LinExpr, Symbol
__all__ = [
+ 'And',
'Domain',
- 'And', 'Or', 'Not',
+ 'Not',
+ 'Or',
]
return argument.aspolyhedron()
else:
raise TypeError('argument must be a string '
- 'or a GeometricObject instance')
+ 'or a GeometricObject instance')
else:
for polyhedron in polyhedra:
if not isinstance(polyhedron, Polyhedron):
Return an equivalent domain, whose polyhedra are disjoint.
"""
islset = self._toislset(self.polyhedra, self.symbols)
- islset = libisl.isl_set_make_disjoint(mainctx, islset)
+ islset = libisl.isl_set_make_disjoint(islset)
return self._fromislset(islset, self.symbols)
def coalesce(self):
if symbol in symbols:
n += 1
elif n > 0:
- islset = libisl.isl_set_project_out(islset,
- libisl.isl_dim_set, index + 1, n)
+ 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)
+ 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)
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 = 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 the vertices of the domain, as a list of rational instances of
Point.
"""
- from .polyhedra import Polyhedron
if not self.isbounded():
raise ValueError('domain must be bounded')
islbset = self._toislbasicset(self.equalities, self.inequalities,
- self.symbols)
- vertices = libisl.isl_basic_set_compute_vertices(islbset);
+ 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)
+ expression = libisl.isl_vertex_get_expr(vertex)
coordinates = []
if self._RE_COORDINATE is None:
- constraints = islhelper.isl_basic_set_constraints(expr)
+ constraints = islhelper.isl_basic_set_constraints(expression)
for constraint in constraints:
- constant = libisl.isl_constraint_get_constant_val(constraint)
+ 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 = \
+ 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:
- string = islhelper.isl_multi_aff_to_str(expr)
+ string = islhelper.isl_multi_aff_to_str(expression)
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)
+ denominator = \
+ 1 if denominator is None else int(denominator)
coordinate = Fraction(numerator, denominator)
coordinates.append((symbol, coordinate))
points.append(Point(coordinates))
def points(self):
"""
Return the integer points of a bounded domain, as a list of integer
- instances of Point. If the domain is not bounded, a ValueError exception
- is raised.
+ instances of Point. If the domain is not bounded, a ValueError
+ exception is raised.
"""
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 = 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))
elif self.dimension == 3:
return self._plot_3d(plot=plot, **kwargs)
else:
- raise ValueError('domain must be 2 or 3-dimensional')
+ raise ValueError('domain must be two or three-dimensional')
def subs(self, symbol, expression=None):
"""
similar to LinExpr.subs().
"""
polyhedra = [polyhedron.subs(symbol, expression)
- for polyhedron in self.polyhedra]
+ for polyhedron in self.polyhedra]
return Domain(*polyhedra)
@classmethod
@classmethod
def _toislset(cls, polyhedra, symbols):
polyhedron = polyhedra[0]
- islbset = polyhedron._toislbasicset(polyhedron.equalities,
- polyhedron.inequalities, symbols)
+ islbset = polyhedron._toislbasicset(
+ polyhedron.equalities, polyhedron.inequalities, symbols)
islset1 = libisl.isl_set_from_basic_set(islbset)
for polyhedron in polyhedra[1:]:
- islbset = polyhedron._toislbasicset(polyhedron.equalities,
- polyhedron.inequalities, symbols)
+ islbset = polyhedron._toislbasicset(
+ polyhedron.equalities, polyhedron.inequalities, symbols)
islset2 = libisl.isl_set_from_basic_set(islbset)
islset1 = libisl.isl_set_union(islset1, islset2)
return islset1
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):
+ def fromsympy(cls, expression):
"""
Create a domain from a SymPy expression.
"""
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 LinExpr.fromsympy(expr)
- raise ValueError('non-domain expression: {!r}'.format(expr))
+ if expression.func in funcmap:
+ args = [Domain.fromsympy(arg) for arg in expression.args]
+ return funcmap[expression.func](*args)
+ elif isinstance(expression, sympy.Expr):
+ return LinExpr.fromsympy(expression)
+ raise ValueError('non-domain expression: {!r}'.format(expression))
def tosympy(self):
"""
Convert the domain to a SymPy expression.
"""
import sympy
- polyhedra = [polyhedron.tosympy() for polyhedron in polyhedra]
+ polyhedra = [polyhedron.tosympy() for polyhedron in self.polyhedra]
return sympy.Or(*polyhedra)
else:
return domains[0].intersection(*domains[1:])
+
def Or(*domains):
"""
Create the union domain of the domains given in arguments.
else:
return domains[0].union(*domains[1:])
+
def Not(domain):
"""
Create the complementary domain of the domain given in argument.
projects / linpy.git / blobdiff