Minor improvements in testing of new expressions

[linpy.git] / pypol / domains.py

diff --git a/pypol/domains.py b/pypol/domains.py
index fd588b7..632335b 100644 (file)
--- a/pypol/domains.py
+++ b/pypol/domains.py
@@ -1,8 +1,11 @@
+import ast

 import functools
 import functools

+import re

 
 from . import islhelper
 
 from .islhelper import mainctx, libisl, isl_set_basic_sets
 
 from . import islhelper
 
 from .islhelper import mainctx, libisl, isl_set_basic_sets

+from .linexprs import Expression, Symbol

 
 
 __all__ = [
 
 
 __all__ = [


@@ -47,7 +50,7 @@ class Domain:
         symbols = set()
         for item in iterator:
             symbols.update(item.symbols)
         symbols = set()
         for item in iterator:
             symbols.update(item.symbols)

-        return tuple(sorted(symbols))
+        return tuple(sorted(symbols, key=Symbol.sortkey))

 
     @property
     def polyhedra(self):
 
     @property
     def polyhedra(self):


@@ -81,6 +84,12 @@ class Domain:
         libisl.isl_set_free(islset)
         return universe
 
         libisl.isl_set_free(islset)
         return universe
 

+    def isbounded(self):
+        islset = self._toislset(self.polyhedra, self.symbols)
+        bounded = bool(libisl.isl_set_is_bounded(islset))
+        libisl.isl_set_free(islset)
+        return bounded
+

     def __eq__(self, other):
         symbols = self._xsymbols([self, other])
         islset1 = self._toislset(self.polyhedra, symbols)
     def __eq__(self, other):
         symbols = self._xsymbols([self, other])
         islset1 = self._toislset(self.polyhedra, symbols)


@@ -129,12 +138,13 @@ class Domain:
         return self.complement()
 
     def simplify(self):
         return self.complement()
 
     def simplify(self):

-        # see isl_set_coalesce, isl_set_detect_equalities,
-        # isl_set_remove_redundancies
-        # which ones? in which order?
-        raise NotImplementedError
+        #does not change anything in any of the examples
+        #isl seems to do this naturally
+        islset = self._toislset(self.polyhedra, self.symbols)
+        islset = libisl.isl_set_remove_redundancies(islset)
+        return self._fromislset(islset, self.symbols)

 
 

-    def polyhedral_hull(self):
+    def aspolyhedron(self):

         # several types of hull are available
         # polyhedral seems to be the more appropriate, to be checked
         from .polyhedra import Polyhedron
         # several types of hull are available
         # polyhedral seems to be the more appropriate, to be checked
         from .polyhedra import Polyhedron


@@ -142,15 +152,27 @@ class Domain:
         islbset = libisl.isl_set_polyhedral_hull(islset)
         return Polyhedron._fromislbasicset(islbset, self.symbols)
 
         islbset = libisl.isl_set_polyhedral_hull(islset)
         return Polyhedron._fromislbasicset(islbset, self.symbols)
 

-    def project(self, symbols):
-        # not sure what isl_set_project_out actually does…
-        # use isl_set_drop_constraints_involving_dims instead?
-        raise NotImplementedError
+    def project(self, dims):
+        # use to remove certain variables
+        islset = self._toislset(self.polyhedra, self.symbols)
+        n = 0
+        for index, symbol in reversed(list(enumerate(self.symbols))):
+            if symbol in dims:
+                n += 1
+            elif n > 0:
+                islset = libisl.isl_set_project_out(islset, libisl.isl_dim_set, index + 1, n)
+                n = 0
+        if n > 0:
+            islset = libisl.isl_set_project_out(islset, libisl.isl_dim_set, 0, n)
+        dims = [symbol for symbol in self.symbols if symbol not in dims]
+        return Domain._fromislset(islset, dims)

 
     def sample(self):
         from .polyhedra import Polyhedron
         islset = self._toislset(self.polyhedra, self.symbols)
         islbset = libisl.isl_set_sample(islset)
 
     def sample(self):
         from .polyhedra import Polyhedron
         islset = self._toislset(self.polyhedra, self.symbols)
         islbset = libisl.isl_set_sample(islset)

+        # next instruction should NOT be required
+        islbset = libisl.isl_basic_set_finalize(islbset)

         return Polyhedron._fromislbasicset(islbset, self.symbols)
 
     def intersection(self, *others):
         return Polyhedron._fromislbasicset(islbset, self.symbols)
 
     def intersection(self, *others):


@@ -202,6 +224,60 @@ class Domain:
         islset = libisl.isl_set_lexmax(islset)
         return self._fromislset(islset, self.symbols)
 
         islset = libisl.isl_set_lexmax(islset)
         return self._fromislset(islset, self.symbols)
 

+    def num_parameters(self):
+        #could be useful with large, complicated polyhedrons
+        islbset = self._toislbasicset(self.equalities, self.inequalities, self.symbols)
+        num = libisl.isl_basic_set_dim(islbset, libisl.isl_dim_set)
+        return num
+
+    def involves_dims(self, dims):
+        #could be useful with large, complicated polyhedrons
+        islset = self._toislset(self.polyhedra, self.symbols)
+        dims = sorted(dims)
+        symbols = sorted(list(self.symbols))
+        n = 0
+        if len(dims)>0:
+            for dim in dims:
+                if dim in symbols:
+                    first = symbols.index(dims[0])
+                    n +=1
+                else:
+                    first = 0
+        else:
+            return False
+        value = bool(libisl.isl_set_involves_dims(islset, libisl.isl_dim_set, first, n))
+        libisl.isl_set_free(islset)
+        return value
+
+    def vertices(self):
+        islbset = self._toislbasicset(self.equalities, self.inequalities, self.symbols)
+        vertices = libisl.isl_basic_set_compute_vertices(islbset);
+        vertices = islhelper.isl_vertices_vertices(vertices)
+        for vertex in vertices:
+            expr = libisl.isl_vertex_get_expr(vertex);
+            if islhelper.isl_version < '0.13':
+                string = islhelper.isl_set_to_str(expr)
+            else:
+                string = islhelper.isl_multi_aff_to_str(expr)
+            print(string)
+
+    def points(self):
+        if not self.isbounded():
+            raise ValueError('domain must be unbounded')
+        from .polyhedra import Universe, Eq
+        islset = self._toislset(self.polyhedra, self.symbols)
+        islpoints = islhelper.isl_set_points(islset)
+        points = []
+        for islpoint in islpoints:
+            point = {}
+            for index, symbol in enumerate(self.symbols):
+                coordinate = libisl.isl_point_get_coordinate_val(islpoint,
+                    libisl.isl_dim_set, index)
+                coordinate = islhelper.isl_val_to_int(coordinate)
+                point[symbol] = coordinate
+            points.append(point)
+        return points
+

     @classmethod
     def _fromislset(cls, islset, symbols):
         from .polyhedra import Polyhedron
     @classmethod
     def _fromislset(cls, islset, symbols):
         from .polyhedra import Polyhedron


@@ -236,9 +312,77 @@ class Domain:
             islset1 = libisl.isl_set_union(islset1, islset2)
         return islset1
 
             islset1 = libisl.isl_set_union(islset1, islset2)
         return islset1
 

+    @classmethod
+    def _fromast(cls, node):
+        from .polyhedra import Polyhedron
+        if isinstance(node, ast.Module) and len(node.body) == 1:
+            return cls._fromast(node.body[0])
+        elif isinstance(node, ast.Expr):
+            return cls._fromast(node.value)
+        elif isinstance(node, ast.UnaryOp):
+            domain = cls._fromast(node.operand)
+            if isinstance(node.operand, ast.invert):
+                return Not(domain)
+        elif isinstance(node, ast.BinOp):
+            domain1 = cls._fromast(node.left)
+            domain2 = cls._fromast(node.right)
+            if isinstance(node.op, ast.BitAnd):
+                return And(domain1, domain2)
+            elif isinstance(node.op, ast.BitOr):
+                return Or(domain1, domain2)
+        elif isinstance(node, ast.Compare):
+            equalities = []
+            inequalities = []
+            left = Expression._fromast(node.left)
+            for i in range(len(node.ops)):
+                op = node.ops[i]
+                right = Expression._fromast(node.comparators[i])
+                if isinstance(op, ast.Lt):
+                    inequalities.append(right - left - 1)
+                elif isinstance(op, ast.LtE):
+                    inequalities.append(right - left)
+                elif isinstance(op, ast.Eq):
+                    equalities.append(left - right)
+                elif isinstance(op, ast.GtE):
+                    inequalities.append(left - right)
+                elif isinstance(op, ast.Gt):
+                    inequalities.append(left - right - 1)
+                else:
+                    break
+                left = right
+            else:
+                return Polyhedron(equalities, inequalities)
+        raise SyntaxError('invalid syntax')
+
+    _RE_BRACES = re.compile(r'^\{\s*|\s*\}$')
+    _RE_EQ = re.compile(r'([^<=>])=([^<=>])')
+    _RE_AND = re.compile(r'\band\b|,|&&|/\\|∧|∩')
+    _RE_OR = re.compile(r'\bor\b|;|\|\||\\/|∨|∪')
+    _RE_NOT = re.compile(r'\bnot\b|!|¬')
+    _RE_NUM_VAR = Expression._RE_NUM_VAR
+    _RE_OPERATORS = re.compile(r'(&|\||~)')
+

     @classmethod
     def fromstring(cls, string):
     @classmethod
     def fromstring(cls, string):

-        raise NotImplementedError
+        # remove curly brackets
+        string = cls._RE_BRACES.sub(r'', string)
+        # replace '=' by '=='
+        string = cls._RE_EQ.sub(r'\1==\2', string)
+        # replace 'and', 'or', 'not'
+        string = cls._RE_AND.sub(r' & ', string)
+        string = cls._RE_OR.sub(r' | ', string)
+        string = cls._RE_NOT.sub(r' ~', string)
+        # add implicit multiplication operators, e.g. '5x' -> '5*x'
+        string = cls._RE_NUM_VAR.sub(r'\1*\2', string)
+        # add parentheses to force precedence
+        tokens = cls._RE_OPERATORS.split(string)
+        for i, token in enumerate(tokens):
+            if i % 2 == 0:
+                token = '({})'.format(token)
+                tokens[i] = token
+        string = ''.join(tokens)
+        tree = ast.parse(string, 'eval')
+        return cls._fromast(tree)

 
     def __repr__(self):
         assert len(self.polyhedra) >= 2
 
     def __repr__(self):
         assert len(self.polyhedra) >= 2


@@ -247,10 +391,25 @@ class Domain:
 
     @classmethod
     def fromsympy(cls, expr):
 
     @classmethod
     def fromsympy(cls, expr):

-        raise NotImplementedError
+        import sympy
+        from .polyhedra import Lt, Le, Eq, Ne, Ge, Gt
+        funcmap = {
+            sympy.And: And, sympy.Or: Or, sympy.Not: Not,
+            sympy.Lt: Lt, sympy.Le: Le,
+            sympy.Eq: Eq, sympy.Ne: Ne,
+            sympy.Ge: Ge, sympy.Gt: Gt,
+        }
+        if expr.func in funcmap:
+            args = [Domain.fromsympy(arg) for arg in expr.args]
+            return funcmap[expr.func](*args)
+        elif isinstance(expr, sympy.Expr):
+            return Expression.fromsympy(expr)
+        raise ValueError('non-domain expression: {!r}'.format(expr))

 
     def tosympy(self):
 
     def tosympy(self):

-        raise NotImplementedError
+        import sympy
+        polyhedra = [polyhedron.tosympy() for polyhedron in polyhedra]
+        return sympy.Or(*polyhedra)

 
 
 def And(*domains):
 
 
 def And(*domains):