import functools
import numbers
+import json
import ctypes, ctypes.util
from pypol import isl
+from . import isl, islhelper
from fractions import Fraction, gcd
'empty', 'universe'
]
+ids = {}
-_CONTEXT = isl.Context()
+def get_ids(co):
+ if co in ids:
+ return ids.get(co)
+ else:
+ idd = len(ids)
+ ids[co] = idd
+ #print(ids)
+ return idd
def _polymorphic_method(func):
@functools.wraps(func)
raise TypeError('arguments must be linear expressions')
return wrapper
+class Context:
+
+ __slots__ = ('_ic')
+
+ def __init__(self):
+ self._ic = libisl.isl_ctx_alloc()
+
+ @property
+ def _as_parameter_(self):
+ return self._ic
+
+ #comment out so does not delete itself after being created
+ #def __del__(self):
+ # libisl.isl_ctx_free(self)
+
+ def __eq__(self, other):
+ if not isinstance(other, Context):
+ return False
+ return self._ic == other._ic
+
+
+
class Expression:
"""
__getitem__ = coefficient
+ @property
def coefficients(self):
for symbol in self.symbols():
yield symbol, self.coefficient(symbol)
@_polymorphic_method
def __add__(self, other):
- coefficients = dict(self.coefficients())
- for symbol, coefficient in other.coefficients():
+ coefficients = dict(self.coefficients)
+ for symbol, coefficient in other.coefficients:
if symbol in coefficients:
coefficients[symbol] += coefficient
else:
@_polymorphic_method
def __sub__(self, other):
- coefficients = dict(self.coefficients())
- for symbol, coefficient in other.coefficients():
+ coefficients = dict(self.coefficients)
+ for symbol, coefficient in other.coefficients:
if symbol in coefficients:
coefficients[symbol] -= coefficient
else:
def __rsub__(self, other):
return -(self - other)
-
+
@_polymorphic_method
def __mul__(self, other):
if other.isconstant():
- coefficients = dict(self.coefficients())
+ coefficients = dict(self.coefficients)
for symbol in coefficients:
coefficients[symbol] *= other.constant
constant = self.constant * other.constant
def __repr__(self):
string = '{}({{'.format(self.__class__.__name__)
- for i, (symbol, coefficient) in enumerate(self.coefficients()):
+ for i, (symbol, coefficient) in enumerate(self.coefficients):
if i != 0:
string += ', '
string += '{!r}: {!r}'.format(symbol, coefficient)
@_polymorphic_method
def __le__(self, other):
- return Polyhedron(inequalities=[(self - other)._canonify()])
+ return Polyhedron(inequalities=[(other - self)._canonify()])
@_polymorphic_method
def __lt__(self, other):
- return Polyhedron(inequalities=[(self - other)._canonify() + 1])
+ return Polyhedron(inequalities=[(other - self)._canonify() - 1])
@_polymorphic_method
def __ge__(self, other):
- return Polyhedron(inequalities=[(other - self)._canonify()])
+ return Polyhedron(inequalities=[(self - other)._canonify()])
@_polymorphic_method
def __gt__(self, other):
- return Polyhedron(inequalities=[(other - self)._canonify() + 1])
+ return Polyhedron(inequalities=[(self - other)._canonify() - 1])
def constant(numerator=0, denominator=None):
'{} <= 0'.format(constraint))
self._inequalities.append(constraint)
self._bset = self.to_isl()
- return self._bset
+ #print(self._bset)
+ #put this here just to test from isl method
+ #from_isl = self.from_isl(self._bset)
+ #print(from_isl)
+ #rint(self)
+ return self
@property
def symbols(self):
s = set()
for constraint in self.constraints():
- s.update(constraint.symbols)
- yield from sorted(s)
-
- def symbol_count(self):
- s = []
- for constraint in self.constraints():
- s.append(constraint.symbols)
- return s
-
+ s.update(constraint.symbols())
+ return sorted(s)
+
@property
def dimension(self):
return len(self.symbols())
for constraint in self.equalities:
constraints.append('{} == 0'.format(constraint))
for constraint in self.inequalities:
- constraints.append('{} <= 0'.format(constraint))
+ constraints.append('{} >= 0'.format(constraint))
return '{{{}}}'.format(', '.join(constraints))
def __repr__(self):
def fromstring(cls, string):
raise NotImplementedError
- def printer(self):
-
- ip = libisl.isl_printer_to_str(_CONTEXT)
- ip = libisl.isl_printer_print_val(ip, self) #self should be value
- string = libisl.isl_printer_get_str(ip).decode()
- print(string)
- return string
-
+ def _symbolunion(self, *others):
+ print(self)
+ symbols = set(self.symbols())
+ for other in others:
+ symbols.update(other.symbols())
+ return sorted(symbols)
- 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))
+ def to_isl(self, symbols=None):
+ if symbols is None:
+ symbols = self.symbols()
+ print(symbols)
+ print('>>>', self)
+ print('eq:', list(self.equalities))
+ print('ineq:', list(self.inequalities))
+ num_coefficients = len(symbols)
+ ctx = Context()
+ space = libisl.isl_space_set_alloc(ctx, 0, num_coefficients)
+ bset = libisl.isl_basic_set_universe(libisl.isl_space_copy(space))
+ ls = libisl.isl_local_space_from_space(space)
ceq = libisl.isl_equality_alloc(libisl.isl_local_space_copy(ls))
cin = libisl.isl_inequality_alloc(libisl.isl_local_space_copy(ls))
- dict_ex = Expression().__dict__
- print(dict_ex)
- '''
- 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:
- for _constant in dict_ex:
- value = dict_ex.get('_constant')
- ceq = libisl.isl_constraint_set_constant_val(ceq, value)
- for _coefficients in dict_ex:
- value_co = dict_ex.get('_coefficients')
- if value_co:
- ceq = libisl.isl_constraint_set_coefficient_si(ceq, libisl.isl_set_dim, self.symbols(), value_co)
- bset = libisl.isl_set_add_constraint(bset, ceq)
- bset = libisl.isl_basic_set_project_out(bset, libisl.isl_set_dim, 1, 1);
- elif self.inequalities:
- for _constant in dict_ex:
- value = dict_ex.get('_constant')
- cin = libisl.isl_constraint_set_constant_val(cin, value)
- for _coefficients in dict_ex:
- value_co = dict_ex.get('_coefficients')
- if value_co:
- cin = libisl.isl_constraint_set_coefficient_si(cin, libisl.isl_set_dim, self.symbols(), value_co)
- bset = libisl.isl_set_add_contraint(bset, cin)
-
- string = libisl.isl_printer_print_basic_set(bset)
- print('here')
- print(bset)
- print(self)
- #print(string)
+ '''if there are equalities/inequalities, take each constant and coefficient and add as a constraint to the basic set'''
+ if list(self.equalities): #check if any equalities exist
+ for eq in self.equalities:
+ coeff_eq = dict(eq.coefficients)
+ if eq.constant:
+ value = eq.constant
+ ceq = libisl.isl_constraint_set_constant_si(ceq, value)
+ for eq in coeff_eq:
+ num = coeff_eq.get(eq)
+ iden = symbols.index(eq)
+ print('id of var {} is {}, coeff is {}'.format(eq, iden, num))
+ ceq = libisl.isl_constraint_set_coefficient_si(ceq, islhelper.isl_dim_set, iden, num) #use 3 for type isl_dim_set
+ bset = libisl.isl_basic_set_add_constraint(bset, ceq)
+ if list(self.inequalities): #check if any inequalities exist
+ for ineq in self.inequalities:
+ coeff_in = dict(ineq.coefficients)
+ if ineq.constant:
+ value = ineq.constant
+ cin = libisl.isl_constraint_set_constant_si(cin, value)
+ for ineq in coeff_in:
+ num = coeff_in.get(ineq)
+ iden = symbols.index(ineq)
+ print('id of var {} is {}, coeff is {}'.format(ineq, iden, num))
+ cin = libisl.isl_constraint_set_coefficient_si(cin, islhelper.isl_dim_set, iden, num) #use 3 for type isl_dim_set
+ bset = libisl.isl_basic_set_add_constraint(bset, cin)
+ ip = libisl.isl_printer_to_str(ctx) #create string printer
+ ip = libisl.isl_printer_print_basic_set(ip, bset) #print basic set to printer
+ string = libisl.isl_printer_get_str(ip) #get string from printer
+ string = str(string.decode())
+ print(string)
return bset
-
-empty = eq(1, 1)
-
-
-universe = Polyhedron()
+
+
+ def from_isl(self, bset):
+ '''takes basic set in isl form and puts back into python version of polyhedron
+ isl example code gives isl form as:
+ "{[i] : exists (a : i = 2a and i >= 10 and i <= 42)}")
+ our printer is giving form as:
+ b'{ [i0] : 1 = 0 }' '''
+ #bset = self
+ if self._equalities:
+ constraints = libisl.isl_basic_set_equalities_matrix(bset, 3)
+ elif self._inequalities:
+ constraints = libisl.isl_basic_set_inequalities_matrix(bset, 3)
+ print(constraints)
+ return constraints
+
+#empty = eq(0,1)
+empty = None
+universe = None
+
+if __name__ == '__main__':
+ ex1 = Expression(coefficients={'a': 1, 'x': 2}, constant=2)
+ ex2 = Expression(coefficients={'a': 3 , 'b': 2}, constant=3)
+ p = Polyhedron(inequalities=[ex1, ex2])
+ #p = eq(ex2, 0)# 2a+4 = 0, in fact 6a+3 = 0
+ #p.to_isl()
+
+#universe = Polyhedron()