+# Copyright 2014 MINES ParisTech
+#
+# This file is part of Linpy.
+#
+# Linpy is free software: you can redistribute it and/or modify
+# it under the terms of the GNU General Public License as published by
+# the Free Software Foundation, either version 3 of the License, or
+# (at your option) any later version.
+#
+# Linpy is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+# GNU General Public License for more details.
+#
+# You should have received a copy of the GNU General Public License
+# along with Linpy. If not, see <http://www.gnu.org/licenses/>.
+
import functools
import math
import numbers
@property
def equalities(self):
- """
- Return a list of the equalities in a set.
- """
+ """
+ Return a list of the equalities in a set.
+ """
return self._equalities
@property
def inequalities(self):
- """
- Return a list of the inequalities in a set.
- """
+ """
+ Return a list of the inequalities in a set.
+ """
return self._inequalities
@property
def constraints(self):
- """
- Return ta list of the constraints of a set.
- """
+ """
+ Return ta list of the constraints of a set.
+ """
return self._constraints
@property
return True
def subs(self, symbol, expression=None):
- """
- Subsitute the given value into an expression and return the resulting expression.
- """
+ """
+ Subsitute the given value into an expression and return the resulting
+ expression.
+ """
equalities = [equality.subs(symbol, expression)
for equality in self.equalities]
inequalities = [inequality.subs(symbol, expression)
@classmethod
def fromsympy(cls, expr):
- """
- Convert a sympy object to an expression.
- """
+ """
+ Convert a sympy object to an expression.
+ """
domain = Domain.fromsympy(expr)
if not isinstance(domain, Polyhedron):
raise ValueError('non-polyhedral expression: {!r}'.format(expr))
return domain
def tosympy(self):
- """
- Return an expression as a sympy object.
- """
+ """
+ Return an expression as a sympy object.
+ """
import sympy
constraints = []
for equality in self.equalities:
constraints.append(sympy.Ge(inequality.tosympy(), 0))
return sympy.And(*constraints)
+
class EmptyType(Polyhedron):
__slots__ = Polyhedron.__slots__
Assert first set is greater than or equal to the second set.
"""
return Polyhedron([], [left - right])
-