X-Git-Url: https://scm.cri.mines-paristech.fr/git/linpy.git/blobdiff_plain/98d00e8b628b571e133bcfa494c0e8f0ab781234..bfa736f3de5624a931b75cba5e3626f41b9475c6:/pypol/linear.py diff --git a/pypol/linear.py b/pypol/linear.py index fabf2a2..2ef0d2a 100644 --- a/pypol/linear.py +++ b/pypol/linear.py @@ -1,9 +1,13 @@ - import functools import numbers +import ctypes, ctypes.util +from pypol import isl from fractions import Fraction, gcd +libisl = ctypes.CDLL(ctypes.util.find_library('isl')) + +libisl.isl_printer_get_str.restype = ctypes.c_char_p __all__ = [ 'Expression', @@ -14,6 +18,8 @@ __all__ = [ ] +_CONTEXT = isl.Context() + def _polymorphic_method(func): @functools.wraps(func) def wrapper(a, b): @@ -26,13 +32,14 @@ def _polymorphic_method(func): return wrapper def _polymorphic_operator(func): + # A polymorphic operator should call a polymorphic method, hence we just + # have to test the left operand. @functools.wraps(func) def wrapper(a, b): if isinstance(a, numbers.Rational): a = constant(a) - if isinstance(b, numbers.Rational): - b = constant(b) - if isinstance(a, Expression) and isinstance(b, Expression): + return func(a, b) + elif isinstance(a, Expression): return func(a, b) raise TypeError('arguments must be linear expressions') return wrapper @@ -67,6 +74,7 @@ class Expression: self._constant = constant return self + def symbols(self): yield from sorted(self._coefficients) @@ -102,6 +110,12 @@ class Expression: yield self.coefficient(symbol) yield self.constant + def values_int(self): + for symbol in self.symbols(): + return self.coefficient(symbol) + return int(self.constant) + + def symbol(self): if not self.issymbol(): raise ValueError('not a symbol: {}'.format(self)) @@ -144,8 +158,9 @@ class Expression: constant = self.constant - other.constant return Expression(coefficients, constant) - __rsub__ = __sub__ - + def __rsub__(self, other): + return -(self - other) + @_polymorphic_method def __mul__(self, other): if other.isconstant(): @@ -176,7 +191,7 @@ class Expression: return NotImplemented def __rtruediv__(self, other): - if isinstance(other, Rational): + if isinstance(other, self): if self.isconstant(): constant = Fraction(other, self.constant) return Expression(constant=constant) @@ -282,7 +297,7 @@ class Expression: def constant(numerator=0, denominator=None): if denominator is None and isinstance(numerator, numbers.Rational): - return Expression(constant=numerator) + return Expression(constant=3) else: return Expression(constant=Fraction(numerator, denominator)) @@ -344,9 +359,11 @@ class Polyhedron: if value.denominator != 1: raise TypeError('non-integer constraint: ' '{} <= 0'.format(constraint)) - self._inequalities.append(constraint) - return self - + self._inequalities.append(constraint) + self._bset = self.to_isl() + return self._bset + + @property def equalities(self): yield from self._equalities @@ -354,24 +371,46 @@ class Polyhedron: @property def inequalities(self): yield from self._inequalities + + @property + def constant(self): + return self._constant + + def isconstant(self): + return len(self._coefficients) == 0 + + + def isempty(self): + return bool(libisl.isl_basic_set_is_empty(self._bset)) def constraints(self): yield from self.equalities yield from self.inequalities + def symbols(self): s = set() for constraint in self.constraints(): s.update(constraint.symbols) - yield from sorted(s) - + yield from sorted(s) + + def symbol_count(self): + s = [] + for constraint in self.constraints(): + s.append(constraint.symbols) + return s + @property def dimension(self): return len(self.symbols()) def __bool__(self): # return false if the polyhedron is empty, true otherwise - raise NotImplementedError + if self._equalities or self._inequalities: + return False + else: + return True + def __contains__(self, value): # is the value in the polyhedron? @@ -380,8 +419,8 @@ class Polyhedron: def __eq__(self, other): raise NotImplementedError - def isempty(self): - return self == empty + def is_empty(self): + return def isuniverse(self): return self == universe @@ -401,6 +440,11 @@ class Polyhedron: def issuperset(self, other): # test whether every element in other is in the polyhedron + for value in other: + if value == self.constraints(): + return True + else: + return False raise NotImplementedError def __ge__(self, other): @@ -457,8 +501,44 @@ class Polyhedron: @classmethod def fromstring(cls, string): raise NotImplementedError + + def to_isl(self): + space = libisl.isl_space_set_alloc(_CONTEXT, 0, len(self.symbol_count())) + bset = libisl.isl_basic_set_empty(libisl.isl_space_copy(space)) + ls = libisl.isl_local_space_from_space(libisl.isl_space_copy(space)) + ceq = libisl.isl_equality_alloc(libisl.isl_local_space_copy(ls)) + cin = libisl.isl_inequality_alloc(libisl.isl_local_space_copy(ls)) + d = Expression().__dict__ #write expression values to dictionary in form {'_constant': value, '_coefficients': value} + ''' + if there are equalities/inequalities, take each constant and coefficient and add as a constraint to the basic set + need to change the symbols method to a lookup table for the integer value for each letter that could be a symbol + ''' + if self._equalities: + if '_constant' in d: + value = d.get('_constant') + ceq = libisl.isl_constraint_set_constant_si(ceq, value) + if '_coefficients' in d: + value_co = d.get('_coefficients') + if value_co: #if dictionary not empty add coefficient as to constraint + ceq = libisl.isl_constraint_set_coefficient_si(ceq, libisl.isl_set_dim, self.symbols(), value_co) + bset = libisl.isl_set_add_constraint(bset, ceq) + + if self._inequalities: + if '_constant' in d: + value = d.get('_constant') + cin = libisl.isl_constraint_set_constant_si(cin, value) + if '_coefficients' in d: + value_co = d.get('_coefficients') + if value_co: #if dictionary not empty add coefficient as to constraint + cin = libisl.isl_constraint_set_coefficient_si(cin, libisl.isl_set_dim, self.symbols(), value_co) + bset = libisl.isl_set_add_constraint(bset, cin) + ip = libisl.isl_printer_to_str(_CONTEXT) #create string printer + ip = libisl.isl_printer_print_set(ip, bset) #print set to printer + string = libisl.isl_printer_get_str(ip) #get string from printer + print(string) + return bset + +empty = eq(1, 1) -empty = le(1, 0) - universe = Polyhedron()