Remove useless imports
[linpy.git] / pypol / linear.py
index 749f7c3..75ae166 100644 (file)
@@ -1,11 +1,10 @@
-import ctypes, ctypes.util
 import functools
 import numbers
 
 from fractions import Fraction, gcd
 
-from . import isl
-from .isl import libisl
+from pypol import isl
+from pypol.isl import libisl
 
 
 __all__ = [
@@ -355,28 +354,28 @@ class Symbol(Expression):
 def symbols(names):
     if isinstance(names, str):
         names = names.replace(',', ' ').split()
-    return (symbol(name) for name in names)
+    return (Symbol(name) for name in names)
 
 
 @_polymorphic_operator
 def eq(a, b):
-    return a._eq(b)
+    return a.__eq__(b)
 
 @_polymorphic_operator
 def le(a, b):
-    return a <= b
+    return a.__le__(b)
 
 @_polymorphic_operator
 def lt(a, b):
-    return a < b
+    return a.__lt__(b)
 
 @_polymorphic_operator
 def ge(a, b):
-    return a >= b
+    return a.__ge__(b)
 
 @_polymorphic_operator
 def gt(a, b):
-    return a > b
+    return a.__gt__(b)
 
 
 class Polyhedron:
@@ -447,27 +446,42 @@ class Polyhedron:
         raise NotImplementedError
 
     def __eq__(self, other):
-        raise NotImplementedError
+        # works correctly when symbols is not passed
+        # should be equal if values are the same even if symbols are different
+        bset = self._toisl()
+        other = other._toisl()
+        return bool(libisl.isl_basic_set_plain_is_equal(bset, other))
 
     def isempty(self):
         bset = self._toisl()
         return bool(libisl.isl_basic_set_is_empty(bset))
 
     def isuniverse(self):
-        raise NotImplementedError
+        bset = self._toisl()
+        return bool(libisl.isl_basic_set_is_universe(bset))
 
     def isdisjoint(self, other):
         # return true if the polyhedron has no elements in common with other
-        raise NotImplementedError
+        #symbols = self._symbolunion(other)
+        bset = self._toisl()
+        other = other._toisl()
+        return bool(libisl.isl_set_is_disjoint(bset, other))
 
     def issubset(self, other):
-        raise NotImplementedError
+        # check if self(bset) is a subset of other
+        symbols = self._symbolunion(other)
+        bset = self._toisl(symbols)
+        other = other._toisl(symbols)
+        return bool(libisl.isl_set_is_strict_subset(other, bset))
 
     def __le__(self, other):
         return self.issubset(other)
 
     def __lt__(self, other):
-        raise NotImplementedError
+        symbols = self._symbolunion(other)
+        bset = self._toisl(symbols)
+        other = other._toisl(symbols)
+        return bool(libisl.isl_set_is_strict_subset(other, bset))
 
     def issuperset(self, other):
         # test whether every element in other is in the polyhedron
@@ -477,6 +491,10 @@ class Polyhedron:
         return self.issuperset(other)
 
     def __gt__(self, other):
+        symbols = self._symbolunion(other)
+        bset = self._toisl(symbols)
+        other = other._toisl(symbols)
+        bool(libisl.isl_set_is_strict_subset(other, bset))
         raise NotImplementedError
 
     def union(self, *others):
@@ -502,10 +520,14 @@ class Polyhedron:
     def __and__(self, other):
         return self.intersection(other)
 
-    def difference(self, *others):
-        # return a new polyhedron with elements in the polyhedron that are not
-        # in the others
-        raise NotImplementedError
+    def difference(self, other):
+        # return a new polyhedron with elements in the polyhedron that are not in the other
+        symbols = self._symbolunion(other)
+        bset = self._toisl(symbols)
+        other = other._toisl(symbols)
+        difference = libisl.isl_set_subtract(bset, other)
+        return difference
+    
 
     def __sub__(self, other):
         return self.difference(other)
@@ -537,31 +559,33 @@ class Polyhedron:
         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, 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)
+        #if there are equalities/inequalities, take each constant and coefficient and add as a constraint to the basic set
+        for eq in self.equalities:
+            ceq = libisl.isl_equality_alloc(libisl.isl_local_space_copy(ls))
+            coeff_eq = dict(eq.coefficients())
+            if eq.constant:
+                value = str(eq.constant).encode()
+                val = libisl.isl_val_read_from_str(_main_ctx, value)
+                ceq = libisl.isl_constraint_set_constant_val(ceq, val)
+            for eq in coeff_eq:
+                number = str(coeff_eq.get(eq)).encode()
+                num = libisl.isl_val_read_from_str(_main_ctx, number)
+                iden = symbols.index(eq)
+                ceq = libisl.isl_constraint_set_coefficient_val(ceq, libisl.isl_dim_set, iden, num)  #use 3 for type isl_dim_set
+            bset = libisl.isl_basic_set_add_constraint(bset, ceq)  
+        for ineq in self.inequalities:
+            cin = libisl.isl_inequality_alloc(libisl.isl_local_space_copy(ls))
+            coeff_in = dict(ineq.coefficients())
+            if ineq.constant:
+                value = str(ineq.constant).encode()
+                val = libisl.isl_val_read_from_str(_main_ctx, value)
+                cin = libisl.isl_constraint_set_constant_val(cin, val)
+            for ineq in coeff_in:
+                number = str(coeff_in.get(ineq)).encode()
+                num = libisl.isl_val_read_from_str(_main_ctx, number)
+                iden = symbols.index(ineq)
+                cin = libisl.isl_constraint_set_coefficient_val(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
 
@@ -575,24 +599,14 @@ class 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
+            { [i0, i1] : 2i1 >= -2 - i0 } '''
 
 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._toisl()
-    print(bs)
-    print('empty ?', p.isempty())
-    print('empty ?', eq(0, 1).isempty())
+    ex1 = Expression(coefficients={'a': 6, 'b': 6}, constant= 3) #this is the expression that does not work (even without adding values)
+    ex2 = Expression(coefficients={'x': 4, 'y': 2}, constant= 3)
+    p = Polyhedron(equalities=[ex2])
+    p2 = Polyhedron(equalities=[ex2])
+    print(p._toisl()) # checking is values works for toisl