recent update to isl no errors!!
[linpy.git] / pypol / linear.py
index 5b5d8aa..9584609 100644 (file)
@@ -1,9 +1,15 @@
-
 import functools
 import numbers
+import json
+import ctypes, ctypes.util
+from pypol import isl
+from . import isl, islhelper
 
 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',
@@ -13,6 +19,63 @@ __all__ = [
     'empty', 'universe'
 ]
 
+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)
+    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
+
+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:
     """
@@ -43,6 +106,7 @@ class Expression:
         self._constant = constant
         return self
 
+
     def symbols(self):
         yield from sorted(self._coefficients)
 
@@ -62,6 +126,7 @@ class Expression:
 
     __getitem__ = coefficient
 
+    @property
     def coefficients(self):
         for symbol in self.symbols():
             yield symbol, self.coefficient(symbol)
@@ -78,6 +143,12 @@ 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))
@@ -96,21 +167,10 @@ class Expression:
     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):
-        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:
@@ -120,10 +180,10 @@ class Expression:
 
     __radd__ = __add__
 
-    @_polymorphic
+    @_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:
@@ -131,12 +191,13 @@ class Expression:
         constant = self.constant - other.constant
         return Expression(coefficients, constant)
 
-    __rsub__ = __sub__
-
-    @_polymorphic
+    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
@@ -148,7 +209,7 @@ class Expression:
 
     __rmul__ = __mul__
 
-    @_polymorphic
+    @_polymorphic_method
     def __truediv__(self, other):
         if other.isconstant():
             coefficients = dict(self.coefficients())
@@ -163,7 +224,7 @@ 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)
@@ -206,6 +267,8 @@ class Expression:
         elif constant < 0:
             constant *= -1
             string += ' - {}'.format(constant)
+        if string == '':
+            string = '0'
         return string
 
     def _parenstr(self, always=False):
@@ -217,7 +280,7 @@ class Expression:
 
     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)
@@ -228,7 +291,7 @@ class Expression:
     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
@@ -244,29 +307,32 @@ class Expression:
                 [value.denominator for value in self.values()])
         return self * lcm
 
-    @_polymorphic
+    @_polymorphic_method
     def _eq(self, other):
         return Polyhedron(equalities=[(self - other)._canonify()])
 
-    @_polymorphic
+    @_polymorphic_method
     def __le__(self, other):
-        return Polyhedron(inequalities=[(self - other)._canonify()])
+        return Polyhedron(inequalities=[(other - self)._canonify()])
 
-    @_polymorphic
+    @_polymorphic_method
     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):
-        return Polyhedron(inequalities=[(other - self)._canonify()])
+        return Polyhedron(inequalities=[(self - other)._canonify()])
 
-    @_polymorphic
+    @_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):
-    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):
@@ -279,35 +345,23 @@ def symbols(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)
 
-@_operator
+@_polymorphic_operator
 def le(a, b):
     return a <= b
 
-@_operator
+@_polymorphic_operator
 def lt(a, b):
     return a < b
 
-@_operator
+@_polymorphic_operator
 def ge(a, b):
     return a >= b
 
-@_operator
+@_polymorphic_operator
 def gt(a, b):
     return a > b
 
@@ -338,9 +392,16 @@ 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()
+        #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 equalities(self):
         yield from self._equalities
@@ -348,24 +409,40 @@ 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)
-
+            s.update(constraint.symbols())
+        return sorted(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?
@@ -374,8 +451,8 @@ 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
@@ -395,6 +472,11 @@ 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):
@@ -439,7 +521,7 @@ 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):
@@ -451,8 +533,84 @@ class Polyhedron:
     @classmethod
     def fromstring(cls, string):
         raise NotImplementedError
-
-
-empty = le(1, 0)
-
-universe = Polyhedron()
+    
+    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, 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))
+        '''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
+    
+    
+    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()