Add _repr_latex_ methods for IPython prettyprint

[linpy.git] / pypol / domains.py

diff --git a/pypol/domains.py b/pypol/domains.py
index 6088e32..10d12c5 100644 (file)
--- a/pypol/domains.py
+++ b/pypol/domains.py
@@ -2,9 +2,11 @@ import ast
 import functools
 import re
 
-from . import islhelper
+from fractions import Fraction
 
-from .islhelper import mainctx, libisl, isl_set_basic_sets
+from . import islhelper
+from .islhelper import mainctx, libisl
+from .geometry import GeometricObject, Point
 from .linexprs import Expression, Symbol
 
 
@@ -15,7 +17,7 @@ __all__ = [
 
 
 @functools.total_ordering
-class Domain:
+class Domain(GeometricObject):
 
     __slots__ = (
         '_polyhedra',
@@ -26,14 +28,14 @@ class Domain:
     def __new__(cls, *polyhedra):
         from .polyhedra import Polyhedron
         if len(polyhedra) == 1:
-            polyhedron = polyhedra[0]
-            if isinstance(polyhedron, str):
-                return cls.fromstring(polyhedron)
-            elif isinstance(polyhedron, Polyhedron):
-                return polyhedron
+            argument = polyhedra[0]
+            if isinstance(argument, str):
+                return cls.fromstring(argument)
+            elif isinstance(argument, GeometricObject):
+                return argument.aspolyhedron()
             else:
                 raise TypeError('argument must be a string '
-                    'or a Polyhedron instance')
+                    'or a GeometricObject instance')
         else:
             for polyhedron in polyhedra:
                 if not isinstance(polyhedron, Polyhedron):
@@ -152,6 +154,9 @@ class Domain:
         islbset = libisl.isl_set_polyhedral_hull(islset)
         return Polyhedron._fromislbasicset(islbset, self.symbols)
 
+    def asdomain(self):
+        return self
+
     def project(self, dims):
         # use to remove certain variables
         islset = self._toislset(self.polyhedra, self.symbols)
@@ -168,17 +173,17 @@ class Domain:
         return Domain._fromislset(islset, dims)
 
     def sample(self):
-        from .polyhedra import Polyhedron
         islset = self._toislset(self.polyhedra, self.symbols)
         islpoint = libisl.isl_set_sample_point(islset)
+        if bool(libisl.isl_point_is_void(islpoint)):
+            libisl.isl_point_free(islpoint)
+            raise ValueError('domain must be non-empty')
         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
-        if bool(libisl.isl_point_is_void(islpoint)):
-            point = None
         libisl.isl_point_free(islpoint)
         return point
 
@@ -256,40 +261,76 @@ class Domain:
         libisl.isl_set_free(islset)
         return value
 
+    _RE_COORDINATE = re.compile(r'\((?P<num>\-?\d+)\)(/(?P<den>\d+))?')
+
     def vertices(self):
+        #returning list of verticies
+        from .polyhedra import Polyhedron
         islbset = self._toislbasicset(self.equalities, self.inequalities, self.symbols)
         vertices = libisl.isl_basic_set_compute_vertices(islbset);
         vertices = islhelper.isl_vertices_vertices(vertices)
+        points = []
         for vertex in vertices:
-            expr = libisl.isl_vertex_get_expr(vertex);
+            expr = libisl.isl_vertex_get_expr(vertex)
+            coordinates = []
             if islhelper.isl_version < '0.13':
-                string = islhelper.isl_set_to_str(expr)
+                constraints = islhelper.isl_basic_set_constraints(expr)
+                for constraint in constraints:
+                    constant = libisl.isl_constraint_get_constant_val(constraint)
+                    constant = islhelper.isl_val_to_int(constant)
+                    for index, symbol in enumerate(self.symbols):
+                        coefficient = libisl.isl_constraint_get_coefficient_val(constraint,
+                            libisl.isl_dim_set, index)
+                        coefficient = islhelper.isl_val_to_int(coefficient)
+                        if coefficient != 0:
+                            coordinate = -Fraction(constant, coefficient)
+                            coordinates.append((symbol, coordinate))
             else:
+                # horrible hack, find a cleaner solution
                 string = islhelper.isl_multi_aff_to_str(expr)
-            print(string)
+                matches = self._RE_COORDINATE.finditer(string)
+                for symbol, match in zip(self.symbols, matches):
+                    numerator = int(match.group('num'))
+                    denominator = match.group('den')
+                    denominator = 1 if denominator is None else int(denominator)
+                    coordinate = Fraction(numerator, denominator)
+                    coordinates.append((symbol, coordinate))
+            points.append(Point(coordinates))
+        return points
 
     def points(self):
         if not self.isbounded():
-            raise ValueError('domain must be unbounded')
+            raise ValueError('domain must be bounded')
         from .polyhedra import Universe, Eq
         islset = self._toislset(self.polyhedra, self.symbols)
         islpoints = islhelper.isl_set_points(islset)
         points = []
         for islpoint in islpoints:
-            point = {}
+            coordinates = {}
             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)
+                coordinates[symbol] = coordinate
+            points.append(Point(coordinates))
         return points
 
+    def __contains__(self, point):
+        for polyhedron in self.polyhedra:
+            if point in polyhedron:
+                return True
+        return False
+
+    def subs(self, symbol, expression=None):
+        polyhedra = [polyhedron.subs(symbol, expression)
+            for polyhedron in self.polyhedra]
+        return Domain(*polyhedra)
+
     @classmethod
     def _fromislset(cls, islset, symbols):
         from .polyhedra import Polyhedron
         islset = libisl.isl_set_remove_divs(islset)
-        islbsets = isl_set_basic_sets(islset)
+        islbsets = islhelper.isl_set_basic_sets(islset)
         libisl.isl_set_free(islset)
         polyhedra = []
         for islbset in islbsets:
@@ -307,6 +348,7 @@ class Domain:
             self._dimension = len(self._symbols)
             return self
 
+    @classmethod
     def _toislset(cls, polyhedra, symbols):
         polyhedron = polyhedra[0]
         islbset = polyhedron._toislbasicset(polyhedron.equalities,
@@ -396,6 +438,12 @@ class Domain:
         strings = [repr(polyhedron) for polyhedron in self.polyhedra]
         return 'Or({})'.format(', '.join(strings))
 
+    def _repr_latex_(self):
+        strings = []
+        for polyhedron in self.polyhedra:
+            strings.append('({})'.format(polyhedron._repr_latex_().strip('$')))
+        return '${}$'.format(' \\vee '.join(strings))
+
     @classmethod
     def fromsympy(cls, expr):
         import sympy