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[linpy.git] / pypol / linear.py

diff --git a/pypol/linear.py b/pypol/linear.py
index 6550e92..07c6293 100644 (file)
--- a/pypol/linear.py
+++ b/pypol/linear.py
@@ -1,9 +1,12 @@
-
+import ctypes, ctypes.util

 import functools
 import numbers
 
 from fractions import Fraction, gcd
 
 import functools
 import numbers
 
 from fractions import Fraction, gcd
 

+from . import isl, islhelper
+from .isl import libisl, Context, BasicSet
+

 
 __all__ = [
     'Expression',
 
 __all__ = [
     'Expression',


@@ -14,6 +17,34 @@ __all__ = [
 ]
 
 
 ]
 
 

+def _polymorphic_method(func):
+    @functools.wraps(func)
+    def wrapper(a, b):
+        if isinstance(b, Expression):
+            return func(a, b)
+        if isinstance(b, numbers.Rational):
+            b = constant(b)
+            return func(a, b)
+        return NotImplemented
+    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)
+            return func(a, b)
+        elif isinstance(a, Expression):
+            return func(a, b)
+        raise TypeError('arguments must be linear expressions')
+    return wrapper
+
+
+_main_ctx = Context()
+
+

 class Expression:
     """
     This class implements linear expressions.
 class Expression:
     """
     This class implements linear expressions.


@@ -43,6 +74,7 @@ class Expression:
         self._constant = constant
         return self
 
         self._constant = constant
         return self
 

+

     def symbols(self):
         yield from sorted(self._coefficients)
 
     def symbols(self):
         yield from sorted(self._coefficients)
 


@@ -62,6 +94,7 @@ class Expression:
 
     __getitem__ = coefficient
 
 
     __getitem__ = coefficient
 

+    @property

     def coefficients(self):
         for symbol in self.symbols():
             yield symbol, self.coefficient(symbol)
     def coefficients(self):
         for symbol in self.symbols():
             yield symbol, self.coefficient(symbol)


@@ -78,6 +111,11 @@ class Expression:
             yield self.coefficient(symbol)
         yield self.constant
 
             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))
     def symbol(self):
         if not self.issymbol():
             raise ValueError('not a symbol: {}'.format(self))


@@ -96,21 +134,10 @@ class Expression:
     def __neg__(self):
         return self * -1
 
     def __neg__(self):
         return self * -1
 

-    def _polymorphic(func):
-        @functools.wraps(func)
-        def wrapper(self, other):
-            if isinstance(other, Expression):
-                return func(self, other)
-            if isinstance(other, numbers.Rational):
-                other = Expression(constant=other)
-                return func(self, other)
-            return NotImplemented
-        return wrapper
-
-    @_polymorphic
+    @_polymorphic_method

     def __add__(self, other):
     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:
             if symbol in coefficients:
                 coefficients[symbol] += coefficient
             else:


@@ -120,10 +147,10 @@ class Expression:
 
     __radd__ = __add__
 
 
     __radd__ = __add__
 

-    @_polymorphic
+    @_polymorphic_method

     def __sub__(self, other):
     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:
             if symbol in coefficients:
                 coefficients[symbol] -= coefficient
             else:


@@ -131,12 +158,13 @@ class Expression:
         constant = self.constant - other.constant
         return Expression(coefficients, constant)
 
         constant = self.constant - other.constant
         return Expression(coefficients, constant)
 

-    __rsub__ = __sub__
+    def __rsub__(self, other):
+        return -(self - other)

 
 

-    @_polymorphic
+    @_polymorphic_method

     def __mul__(self, other):
         if other.isconstant():
     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
             for symbol in coefficients:
                 coefficients[symbol] *= other.constant
             constant = self.constant * other.constant


@@ -148,7 +176,7 @@ class Expression:
 
     __rmul__ = __mul__
 
 
     __rmul__ = __mul__
 

-    @_polymorphic
+    @_polymorphic_method

     def __truediv__(self, other):
         if other.isconstant():
             coefficients = dict(self.coefficients())
     def __truediv__(self, other):
         if other.isconstant():
             coefficients = dict(self.coefficients())


@@ -163,7 +191,7 @@ class Expression:
         return NotImplemented
 
     def __rtruediv__(self, other):
         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)
             if self.isconstant():
                 constant = Fraction(other, self.constant)
                 return Expression(constant=constant)


@@ -219,7 +247,7 @@ class Expression:
 
     def __repr__(self):
         string = '{}({{'.format(self.__class__.__name__)
 
     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)
             if i != 0:
                 string += ', '
             string += '{!r}: {!r}'.format(symbol, coefficient)


@@ -230,7 +258,7 @@ class Expression:
     def fromstring(cls, string):
         raise NotImplementedError
 
     def fromstring(cls, string):
         raise NotImplementedError
 

-    @_polymorphic
+    @_polymorphic_method

     def __eq__(self, other):
         # "normal" equality
         # see http://docs.sympy.org/dev/tutorial/gotchas.html#equals-signs
     def __eq__(self, other):
         # "normal" equality
         # see http://docs.sympy.org/dev/tutorial/gotchas.html#equals-signs


@@ -246,29 +274,32 @@ class Expression:
                 [value.denominator for value in self.values()])
         return self * lcm
 
                 [value.denominator for value in self.values()])
         return self * lcm
 

-    @_polymorphic
+    @_polymorphic_method

     def _eq(self, other):
         return Polyhedron(equalities=[(self - other)._canonify()])
 
     def _eq(self, other):
         return Polyhedron(equalities=[(self - other)._canonify()])
 

-    @_polymorphic
+    @_polymorphic_method

     def __le__(self, other):
     def __le__(self, other):

-        return Polyhedron(inequalities=[(self - other)._canonify()])
+        return Polyhedron(inequalities=[(other - self)._canonify()])

 
 

-    @_polymorphic
+    @_polymorphic_method

     def __lt__(self, other):
     def __lt__(self, other):

-        return Polyhedron(inequalities=[(self - other)._canonify() + 1])
+        return Polyhedron(inequalities=[(other - self)._canonify() - 1])

 
 

-    @_polymorphic
+    @_polymorphic_method

     def __ge__(self, other):
     def __ge__(self, other):

-        return Polyhedron(inequalities=[(other - self)._canonify()])
+        return Polyhedron(inequalities=[(self - other)._canonify()])

 
 

-    @_polymorphic
+    @_polymorphic_method

     def __gt__(self, other):
     def __gt__(self, other):

-        return Polyhedron(inequalities=[(other - self)._canonify() + 1])
+        return Polyhedron(inequalities=[(self - other)._canonify() - 1])

 
 
 def constant(numerator=0, denominator=None):
 
 
 def constant(numerator=0, denominator=None):

-    return Expression(constant=Fraction(numerator, denominator))
+    if denominator is None and isinstance(numerator, numbers.Rational):
+        return Expression(constant=numerator)
+    else:
+        return Expression(constant=Fraction(numerator, denominator))

 
 def symbol(name):
     if not isinstance(name, str):
 
 def symbol(name):
     if not isinstance(name, str):


@@ -281,35 +312,23 @@ def symbols(names):
     return (symbol(name) for name in names)
 
 
     return (symbol(name) for name in names)
 
 

-def _operator(func):
-    @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)
-        raise TypeError('arguments must be linear expressions')
-    return wrapper
-
-@_operator
+@_polymorphic_operator

 def eq(a, b):
     return a._eq(b)
 
 def eq(a, b):
     return a._eq(b)
 

-@_operator
+@_polymorphic_operator

 def le(a, b):
     return a <= b
 
 def le(a, b):
     return a <= b
 

-@_operator
+@_polymorphic_operator

 def lt(a, b):
     return a < b
 
 def lt(a, b):
     return a < b
 

-@_operator
+@_polymorphic_operator

 def ge(a, b):
     return a >= b
 
 def ge(a, b):
     return a >= b
 

-@_operator
+@_polymorphic_operator

 def gt(a, b):
     return a > b
 
 def gt(a, b):
     return a > b
 


@@ -351,6 +370,16 @@ class Polyhedron:
     def inequalities(self):
         yield from self._inequalities
 
     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 constraints(self):
         yield from self.equalities
         yield from self.inequalities


@@ -358,8 +387,8 @@ class Polyhedron:
     def symbols(self):
         s = set()
         for constraint in self.constraints():
     def symbols(self):
         s = set()
         for constraint in self.constraints():

-            s.update(constraint.symbols)
-        yield from sorted(s)
+            s.update(constraint.symbols())
+        return sorted(s)

 
     @property
     def dimension(self):
 
     @property
     def dimension(self):


@@ -367,7 +396,10 @@ class Polyhedron:
 
     def __bool__(self):
         # return false if the polyhedron is empty, true otherwise
 
     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?
 
     def __contains__(self, value):
         # is the value in the polyhedron?


@@ -376,8 +408,8 @@ class Polyhedron:
     def __eq__(self, other):
         raise NotImplementedError
 
     def __eq__(self, other):
         raise NotImplementedError
 

-    def isempty(self):
-        return self == empty
+    def is_empty(self):
+        return

 
     def isuniverse(self):
         return self == universe
 
     def isuniverse(self):
         return self == universe


@@ -397,6 +429,11 @@ class Polyhedron:
 
     def issuperset(self, other):
         # test whether every element in other is in the 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):
         raise NotImplementedError
 
     def __ge__(self, other):


@@ -441,7 +478,7 @@ class Polyhedron:
         for constraint in self.equalities:
             constraints.append('{} == 0'.format(constraint))
         for constraint in self.inequalities:
         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):
         return '{{{}}}'.format(', '.join(constraints))
 
     def __repr__(self):


@@ -454,7 +491,67 @@ class Polyhedron:
     def fromstring(cls, string):
         raise NotImplementedError
 
     def fromstring(cls, string):
         raise NotImplementedError
 

-
-empty = le(1, 0)
-
-universe = Polyhedron()
+    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'''
+        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, 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)
+                    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)
+        bset = BasicSet(bset)
+        return bset
+
+    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 = 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)