X-Git-Url: https://svn.cri.ensmp.fr/git/linpy.git/blobdiff_plain/bec8e9379d875b91dd49058aeae0075bda66d6d8..af10bce9dc286c2b3ffe6520c4ed0047a4475320:/pypol/linear.py diff --git a/pypol/linear.py b/pypol/linear.py index 5dfddfe..5f3c559 100644 --- a/pypol/linear.py +++ b/pypol/linear.py @@ -1,14 +1,12 @@ +import ctypes, ctypes.util import functools import numbers -import json -import ctypes, ctypes.util -from pypol import isl from fractions import Fraction, gcd -libisl = ctypes.CDLL(ctypes.util.find_library('isl')) +from . import isl +from .isl import libisl -libisl.isl_printer_get_str.restype = ctypes.c_char_p __all__ = [ 'Expression', @@ -18,28 +16,6 @@ __all__ = [ 'empty', 'universe' ] -''' -def symbolToInt(self): - make dictionary of key:value (letter:integer) - iterate through the dictionary to find matching symbol - return the given integer value - d = {'a': 1, 'b': 2, 'c': 3, 'd': 4, 'e': 5, 'f': 6, 'g': 7, 'h': 8, 'i': 6, 'j': 10, 'k': 11, 'l': 12, 'm': 13, 'n': 14, - 'o': 15, 'p': 16, 'q': 17, 'r': 18, 's': 19, 't': 20, 'u': 21, 'v': 22, 'w': 23, 'x': 24, 'y': 25, 'z': 26} - if self in d: - num = d.get(self) - return num -''' - -ids = {} - -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) @@ -65,27 +41,8 @@ def _polymorphic_operator(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 - +_main_ctx = isl.Context() class Expression: @@ -115,15 +72,17 @@ class Expression: if not isinstance(constant, numbers.Rational): raise TypeError('constant must be a rational number') self._constant = constant + self._symbols = tuple(sorted(self._coefficients)) + self._dimension = len(self._symbols) return self - + @property def symbols(self): - yield from sorted(self._coefficients) + return self._symbols @property def dimension(self): - return len(list(self.symbols())) + return self._dimension def coefficient(self, symbol): if isinstance(symbol, Expression) and symbol.issymbol(): @@ -138,7 +97,7 @@ class Expression: __getitem__ = coefficient def coefficients(self): - for symbol in self.symbols(): + for symbol in self.symbols: yield symbol, self.coefficient(symbol) @property @@ -149,20 +108,20 @@ class Expression: return len(self._coefficients) == 0 def values(self): - for symbol in self.symbols(): + for symbol in self.symbols: yield self.coefficient(symbol) yield self.constant def values_int(self): - for symbol in self.symbols(): + for symbol in self.symbols: return self.coefficient(symbol) return int(self.constant) - + @property def symbol(self): if not self.issymbol(): raise ValueError('not a symbol: {}'.format(self)) - for symbol in self.symbols(): + for symbol in self.symbols: return symbol def issymbol(self): @@ -203,7 +162,7 @@ class Expression: def __rsub__(self, other): return -(self - other) - + @_polymorphic_method def __mul__(self, other): if other.isconstant(): @@ -245,7 +204,6 @@ class Expression: def __str__(self): string = '' - symbols = sorted(self.symbols()) i = 0 for symbol in symbols: coefficient = self[symbol] @@ -312,35 +270,35 @@ class Expression: def __hash__(self): return hash((self._coefficients, self._constant)) - def _canonify(self): + def _toint(self): lcm = functools.reduce(lambda a, b: a*b // gcd(a, b), [value.denominator for value in self.values()]) return self * lcm @_polymorphic_method def _eq(self, other): - return Polyhedron(equalities=[(self - other)._canonify()]) + return Polyhedron(equalities=[(self - other)._toint()]) @_polymorphic_method def __le__(self, other): - return Polyhedron(inequalities=[(self - other)._canonify()]) + return Polyhedron(inequalities=[(other - self)._toint()]) @_polymorphic_method def __lt__(self, other): - return Polyhedron(inequalities=[(self - other)._canonify() + 1]) + return Polyhedron(inequalities=[(other - self)._toint() - 1]) @_polymorphic_method def __ge__(self, other): - return Polyhedron(inequalities=[(other - self)._canonify()]) + return Polyhedron(inequalities=[(self - other)._toint()]) @_polymorphic_method def __gt__(self, other): - return Polyhedron(inequalities=[(other - self)._canonify() + 1]) + return Polyhedron(inequalities=[(self - other)._toint() - 1]) def constant(numerator=0, denominator=None): if denominator is None and isinstance(numerator, numbers.Rational): - return Expression(constant=3) + return Expression(constant=numerator) else: return Expression(constant=Fraction(numerator, denominator)) @@ -395,6 +353,7 @@ class Polyhedron: raise TypeError('non-integer constraint: ' '{} == 0'.format(constraint)) self._equalities.append(constraint) + self._equalities = tuple(self._equalities) self._inequalities = [] if inequalities is not None: for constraint in inequalities: @@ -402,57 +361,37 @@ class Polyhedron: if value.denominator != 1: raise TypeError('non-integer constraint: ' '{} <= 0'.format(constraint)) - self._inequalities.append(constraint) - self._bset = self.to_isl() - #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._bset - - + self._inequalities.append(constraint) + self._inequalities = tuple(self._inequalities) + self._constraints = self._equalities + self._inequalities + self._symbols = set() + for constraint in self._constraints: + self.symbols.update(constraint.symbols) + self._symbols = tuple(sorted(self._symbols)) + return self + @property def equalities(self): - yield from self._equalities + return self._equalities @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)) + return self._inequalities + @property def constraints(self): - yield from self.equalities - yield from self.inequalities - + return self._constraints + @property def symbols(self): - s = set() - for constraint in self.constraints(): - s.update(constraint.symbols) - yield from sorted(s) - + return self._symbols + @property def dimension(self): - return len(self.symbols()) + return len(self.symbols) def __bool__(self): - # return false if the polyhedron is empty, true otherwise - if self._equalities or self._inequalities: - return False - else: - return True - + return not self.is_empty() def __contains__(self, value): # is the value in the polyhedron? @@ -461,11 +400,12 @@ class Polyhedron: def __eq__(self, other): raise NotImplementedError - def is_empty(self): - return + def isempty(self): + bset = self._to_isl() + return bool(libisl.isl_basic_set_is_empty(bset)) def isuniverse(self): - return self == universe + raise NotImplementedError def isdisjoint(self, other): # return true if the polyhedron has no elements in common with other @@ -482,11 +422,6 @@ 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): @@ -531,7 +466,7 @@ class Polyhedron: 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): @@ -543,58 +478,76 @@ class Polyhedron: @classmethod def fromstring(cls, string): raise NotImplementedError - - def to_isl(self): - #d = Expression().__dict__ #write expression values to dictionary in form {'_constant': value, '_coefficients': value} - d = {'_constant': 2, '_coefficients': {'b':1}} - coeff = d.get('_coefficients') - num_coefficients = len(coeff) - space = libisl.isl_space_set_alloc(Context(), 0, num_coefficients) - bset = libisl.isl_basic_set_empty(libisl.isl_space_copy(space)) - ls = libisl.isl_local_space_from_space(libisl.isl_space_copy(space)) + + def _symbolunion(self, *others): + symbols = set(self.symbols) + for other in others: + symbols.update(other.symbols) + return sorted(symbols) + + def _to_isl(self, symbols=None): + if symbols is None: + symbols = self.symbols + num_coefficients = len(symbols) + space = libisl.isl_space_set_alloc(_main_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)) - '''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') - for co in value_co: - num = value_co.get(co) - ceq = libisl.isl_constraint_set_coefficient_si(ceq, 3, get_ids(co), num) #use 3 for type isl_dim_set - 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') - for co in value_co: - num = value_co.get(co) - if value_co: #if dictionary not empty add coefficient as to constraint - cin = libisl.isl_constraint_set_coefficient_si(cin, 3, get_ids(co), num) #use 3 for type isl_dim_set - 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 - string = str(string) - print(string) - return string - - - def from_isl(self, bset): - '''takes basic set in isl form and puts back into python version of polyhedron - isl example code gives idl form as: - "{[i] : exists (a : i = 2a and i >= 10 and i <= 42)}");''' - - poly = 0 - return poly + '''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) + ceq = libisl.isl_constraint_set_coefficient_si(ceq, libisl.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) + cin = libisl.isl_constraint_set_coefficient_si(cin, libisl.isl_dim_set, iden, num) #use 3 for type isl_dim_set + bset = libisl.isl_basic_set_add_constraint(bset, cin) + bset = isl.BasicSet(bset) + return bset -empty = eq(1,1) - - -universe = Polyhedron() + @classmethod + def _from_isl(cls, 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 }' ''' + raise NotImplementedError + equalities = ... + inequalities = ... + return cls(equalities, inequalities) + #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 = None #eq(0,1) +universe = None #Polyhedron() + + +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]) + bs = p._to_isl() + print(bs) + print('empty ?', p.isempty()) + print('empty ?', eq(0, 1).isempty())